Publications

Correction to: A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks (Journal of Scientific Computing, (2024), 99, 2, (41), 10.1007/s10915-024-02500-w)
https://doi.org/10.1007/s10915-024-02500-w. The Funding information “PTDC/CCI-INF/6762/2020” was missing from this article and should …
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ITERATIVE SCHEMES FOR PROBABILISTIC DOMAIN DECOMPOSITION
Probabilistic domain decomposition (PDD) is an alternative paradigm for solving boundary value problems (BVPs) in parallel with …
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Heuristics for the Probabilistic Solution of BVPs with Mixed Boundary Conditions
The performance of stochastic numerical methods for bounded diffusions (accuracy, speed and weak rate of convergence) is considered. …
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Development and testing of a sedation protocol for Neocaridina davidi
Neocaridina davidi, a small freshwater shrimp native to Asia, specifically China, Japan, Korea, and Vietnam, possesses remarkable …
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Correlation-informed ordered dictionary learning for imaging in complex media
We propose a method for imaging in scattering media when large and diverse datasets are available. It has two steps. Using a dictionary …
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Correction to: Survey of a class of iterative row-action methods: The Kaczmarz method (Numerical Algorithms, (2024), 10.1007/s11075-024-01945-2)
The 2nd affiliation of Juan A. Acebrón was inadvertently deleted. The original article has been corrected. © The Author(s) 2024.
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Contests in two fronts
Within the framework of Game Theory, there are games where rewards depend on the relative rank between contenders rather than their …
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An explicit substructuring method for overlapping domain decomposition based on stochastic calculus
In a recent paper [7], a hybrid supercomputing algorithm for elliptic equations has been proposed. The idea is that the interfacial …
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A stochastic method for solving time-fractional differential equations
We present a stochastic method for efficiently computing the solution of time-fractional partial differential equations (fPDEs) that …
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A radial basis function partition of unity method for steady flow simulations
A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. …
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A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Abstract. This paper introduces a novel meshfree methodology based on radial basis function–finite difference (RBF-FD) approximations …
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A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks
We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an …
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A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs
State of the art domain decomposition algorithms for large-scale boundary value problems (with M≫1 degrees of freedom) suffer from …
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RBF BASED QUADRATURE ON THE SPHERE
The paper describes a new RBF-FD based technique to compute quadrature weights on the sphere. In the proposed method, the sphere is …
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Quantitative Phase and Absorption Contrast Imaging
We present an algorithm for coherent diffractive imaging with phaseless measurements. It treats the forward model as a combination of …
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Erratum: Quantitative signal subspace imaging (Inverse Problems (2021) 37 (125006) DOI: 10.1088/1361-6420/ac349b)
In the numerical results of [1], the reported signal-to-noise ratios (SNRs) are incorrect. We give the correct SNR values below. • For …
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An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations
The thoracic diaphragm is the muscle that drives the respiratory cycle of a human being. Using a system of partial differential …
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A distributed Monte Carlo based linear algebra solver applied to the analysis of large complex networks
Methods based on Monte Carlo for solving linear systems have some interesting properties which make them, in many instances, preferable …
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Three-dimensional imaging from single-element holographic data
We present a holographic imaging approach for the case in which a single source-detector pair is used to scan a sample. The …
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The PDD Method for Solving Linear, Nonlinear, and Fractional PDEs Problems
We review the Probabilistic Domain Decomposition (PDD) method for the numerical solution of linear and nonlinear Partial Differential …
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Sparse signal recovery from correlation measurements using the noise collector
The problem of sparse signal recovery from quadratic cross-correlation measurements is considered. Compared to the signal recovery …
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Quantitative signal subspace imaging
We develop and analyze a quantitative signal subspace imaging method for single-frequency array imaging. This method is an extension to …
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Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries
New micro-devices, such as unmanned aerial vehicles or micro-robots, have increased the demand of a new generation of small-scale …
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Fast Signal Recovery from Quadratic Measurements
We present a novel approach for recovering a sparse signal from quadratic measurements corresponding to a rank-one tensorization of the …
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A Local Radial Basis Function Method for the Laplace–Beltrami Operator
We introduce a new local meshfree method for the approximation of the Laplace–Beltrami operator on a smooth surface in R3. It is a …
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Volatility Uncertainty Quantification in a Stochastic Control Problem Applied to Energy
This work designs a methodology to quantify the uncertainty of a volatility parameter in a stochastic control problem arising in energy …
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Using local PHS+poly approximations for Laplace transform inversion by Gaver-Stehfest algorithm
The Laplace transform inversion is a well-known ill-conditioned problem and many numerical schemes in literature have investigated how …
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Imaging with highly incomplete and corrupted data
We consider the problem of imaging sparse scenes from a few noisy data using an ℓ1-minimization approach. This problem can be cast as a …
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Data structures for robust multifrequency imaging
In this paper, we consider imaging problems that can be cast in the form of an underdetermined linear system of equations. When a …
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A Probabilistic Linear Solver Based on a Multilevel Monte Carlo Method
We describe a new Monte Carlo method based on a multilevel method for computing the action of the resolvent matrix over a vector. The …
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A highly parallel algorithm for computing the action of a matrix exponential on a vector based on a multilevel Monte Carlo method
A novel algorithm for computing the action of a matrix exponential over a vector is proposed. The algorithm is based on a multilevel …
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Robust multifrequency imaging with MUSIC
In this paper, we study the MUltiple SIgnal Classification (MUSIC) algorithm often used to image small targets when multiple …
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On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries
Radial basis function generated finite difference (RBF-FD) approximations generalize grid-based regular finite differences to scattered …
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Comparison of Moving Least Squares and RBF+poly for Interpolation and Derivative Approximation
The combination of polyharmonic splines (PHS) with high degree polynomials (PHS+poly) has recently opened new opportunities for radial …
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An insight into RBF-FD approximations augmented with polynomials
Radial basis function-generated finite differences (RBF-FD) based on the combination of polyharmonic splines (PHS) with high degree …
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An Implementation of Milstein’s Method for General Bounded Diffusions
Despite its generality and powerful convergence properties, Milstein’s method for functionals of spatially bounded stochastic …
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A Monte Carlo method for computing the action of a matrix exponential on a vector
A Monte Carlo method for computing the action of a matrix exponential for a certain class of matrices on a vector is proposed. The …
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Quantitative subsurface imaging in strongly scattering media
We present a method to obtain quantitatively accurate images of small obstacles or inhomogeneities situated near the surface of a …
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Multilevel estimation of expected exit times and other functionals of stopped diffusions
This paper proposes and analyzes a new multilevel Monte Carlo method for the estimation of mean exit times for multidimensional …
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Frequency optimized RBF-FD for wave equations
We present a method to obtain optimal RBF-FD formulas which maximize their frequency range of validity. The optimization is based on …
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A Closed-Form Formula for the RBF-Based Approximation of the Laplace–Beltrami Operator
In this paper we present a method that uses radial basis functions to approximate the Laplace–Beltrami operator that allows to solve …
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The use of a simple model in the inverse characterization of cardiac ischemic regions
In this paper, we analyze the use of simple models for solving the inverse problem in electrocardiography (IPE), which aims at …
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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
RBF-generated finite differences (RBF-FD) have in the last decade emerged as a very powerful and flexible numerical approach for …
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Numerical Solution of the Viscous Flow Past a Cylinder with a Non-global Yet Spectrally Convergent Meshless Collocation Method
The flow of a viscous fluid past a cylinder is a classical problem in fluid-structure interaction and a benchmark for numerical methods …
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Multifrequency interferometric imaging with intensity-only measurements
We propose an illumination strategy for interferometric imaging that allows for robust depth recovery from intensity-only measurements. …
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Improving the inter-hemispheric gradient of total column atmospheric CO2 and CH4 in simulations with the ECMWF semi-Lagrangian atmospheric global model
It is a widely established fact that standard semi-Lagrangian advection schemes are highly efficient numerical techniques for …
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Hybrid PDE solver for data-driven problems and modern branching
The numerical solution of large-scale PDEs, such as those occurring in data-driven applications, unavoidably require powerful parallel …
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Trust-region methods for nonlinear elliptic equations with radial basis functions
We consider the numerical solution of nonlinear elliptic boundary value problems with Kansa’s method. We derive analytic formulas …
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Synthetic aperture imaging of direction- and frequency-dependent reflectivities
We introduce a synthetic aperture imaging framework that takes into consideration directional dependence of the reflectivity that is to …
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Radial basis function interpolation in the limit of increasingly flat basis functions
We propose a new approach to study Radial Basis Function (RBF) interpolation in the limit of increasingly flat functions. The new …
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Optimized Finite Difference Formulas for Accurate High Frequency Components
We present a method to obtain optimal finite difference formulas which maximize their frequency range of validity. The optimization is …
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One-way radiative transfer
We introduce the one-way radiative transfer equation (RTE) for modeling the transmission of a light beam incident normally on a slab …
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On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
Radial basis function-generated finite difference (RBF-FD) approximations generalize classical grid-based finite differences (FD) from …
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Coherent imaging without phases
In this paper we consider narrow band, active array imaging of weak localized scatterers when only the intensities are recorded at an …
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Array imaging of localized objects in homogeneous and heterogeneous media
We present a comprehensive study of the resolution and stability properties of sparse promoting optimization theories applied to narrow …
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An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems
The numerical approximation of boundary value problems by means of a probabilistic representations often has the drawback that the …
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A multigrid-like algorithm for probabilistic domain decomposition
We present an iterative scheme, reminiscent of the Multigrid method, to solve large boundary value problems with Probabilistic Domain …
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A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions
A Monte Carlo algorithm is derived to solve the one-dimensional telegraph equations in a bounded domain subject to resistive and …
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A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations
We review, implement, and compare numerical integration schemes for spatially bounded diffusions stopped at the boundary which possess …
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Uniform spectral partition method for the propagation of Gaussian pulses on lossy transmission lines using the Monte Carlo method
In this article we present a probabilistic spectral partition theory for a previously derived Monte Carlo method and show how to use it …
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Laurent series based RBF-FD method to avoid ill-conditioning
We propose a new approach to avoid the inherent ill-condition in the computation of RBF-FD weights, which is due to the fact that the …
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Laurent expansion of the inverse of perturbed, singular matrices
In this paper we describe a numerical algorithm to compute the Laurent expansion of the inverse of singularly perturbed matrices. The …
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Inverse problem of electrocardiography: Estimating the location of cardiac ischemia in a 3D realistic geometry
The inverse problem of electrocardiography (IPE) has been formulated in different ways in order to non invasively obtain valuable …
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Inverse localization of ischemia in a 3D realistic geometry: A level set approach
The reconstruction of cardiac ischemic regions from body surface potential measurements (BSPMs) is usually performed at a single time …
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Illumination strategies for intensity-only imaging
We propose a new strategy for narrow band, active array imaging of weak localized scatterers when only the intensities are recorded and …
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Diffuse optical tomography using the one-way radiative transfer equation
We present a computational study of diffuse optical tomography using the one-way radiative transfer equation. The one-way radiative …
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A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0)
A numerical model based on radial basis function-generated finite differences (RBF-FD) is developed for simulating the global electric …
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Optimal shape parameter for the solution of elastostatic problems with the RBF method
Radial basis functions (RBFs) have become a popular method for the solution of partial differential equations. In this paper we analyze …
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Imaging strong localized Scatterers with Sparsity promoting optimization
We study active array imaging of small but strong scatterers in homogeneous media when multiple scattering between them is important. …
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A stochastic algorithm based on fast marching for automatic capacitance extraction in non-Manhattan geometries
We present an algorithm for two-and three-dimensional capacitance analysis on multidielectric integrated circuits of arbitrary …
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Robust imaging of localized scatterers using the singular value decomposition and ℓ1 minimization
We consider narrow band, active array imaging of localized scatterers in a homogeneous medium with and without additive noise. We …
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Robust depth selectivity in mesoscopic scattering regimes using angle-resolved measurements
We study optical imaging of tissues in the mesoscopic scattering regime in which light multiply scatters in tissues but is not fully …
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Recovering fluorophore location and orientation from lifetimes
In this paper, we study the possibility of using lifetime data to estimate the position and orientation of a fluorescent dipole source …
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Propagation of premixed laminar flames in 3D narrow open ducts using RBF-generated finite differences
Laminar flame propagation is an important problem in combustion modelling for which great advances have been achieved both in its …
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Laminar flame propagation modeling using the Radial Basis Function (RBF) method
In this work we explore the applicability of the RBF method to laminar flame propagation modeling. This method is specially well suited …
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Highly efficient numerical algorithm based on random trees for accelerating parallel Vlasov-Poisson simulations
An efficient numerical method based on a probabilistic representation for the Vlasov-Poisson system of equations in the Fourier space …
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Avoiding the inverse crime in the Inverse Problem of electrocardiography: Estimating the shape and location of cardiac ischemia
The Inverse Problem of electrocardiography (IPE) can be summarized as the characterization of the electrical behavior of the heart …
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Application of the RBF meshless method to laminar flame propagation
In this work we explore the applicability of the RBF method to laminar flame propagation modeling. This problem is an interesting …
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Source location from fluorescence lifetime in disordered media
We show that the source location problem can be solved in a scattering medium using the fluorescence lifetime and realistic a priori …
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Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: A model study
We present a new approach for the reconstruction of ischemic regions from only a few non-contact intracardiac recordings. Hence, it is …
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Optimal variable shape parameter for multiquadric based RBF-FD method
In this follow up paper to our previous study in Bayona et al. (2011) [2], we present a new technique to compute the solution of PDEs …
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Gaussian RBF-FD weights and its corresponding local truncation errors
In this work we derive analytical expressions for the weights of Gaussian RBF-FD formulas for some differential operators. These …
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Gaussian RBF-FD weights and its corresponding local truncation errors
In this work we derive analytical expressions for the weights of Gaussian RBF-FD and Gaussian RBF-HFD formulas for some differential …
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Combining diffuse optical tomography and spectroscopy to detect and characterize lesions in two-layered tissues
We combine diffuse optical tomography for detecting and localizing an inhomogeneity in a two-layered tissue and diffuse optical …
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A differential equations approach to l 1-minimization with applications to array imaging
We present an ordinary differential equation approach to the analysis of algorithms for constructing l 1 minimizing solutions to …
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Optimal constant shape parameter for multiquadric based RBF-FD method
Radial basis functions (RBFs) have become a popular method for interpolation and solution of partial differential equations (PDEs). …
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Diffusion of polarized light
We study partially polarized light propagation in random media governed by the theory of radiative transport. In particular, we derive …
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Characterization of biological tissues using microwaves
In this work we study the limits for the applicability condition and a method to improve the structural reconstruction algorithm for …
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Array imaging using intensity-only measurements
We introduce a new approach for narrow band array imaging of localized scatterers from intensity-only measurements by considering the …
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A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees
A probabilistic representation for initial value semilinear parabolic problems based on generalized random trees has been derived. Two …
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Structural level set inversion for microwave breast screening
We present a new inversion strategy for the early detection of breast cancer from microwave data which is based on a new multiphase …
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RBF-FD formulas and convergence properties
The local RBF is becoming increasingly popular as an alternative to the global version that suffers from ill-conditioning. In this …
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Radial basis function solution of the Motz problem
The Motz problem can be considered as a benchmark problem for testing the performance of numerical methods in the solution of elliptic …
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Passive imaging with cross correlations in a discrete random medium
The purpose of this paper is to study the potential and limitations of cross-correlation techniques using numerical simulations, and in …
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Parallelizing a hybrid finite element-boundary integral method for the analysis of scattering and radiation of electromagnetic waves
This paper presents the practical experience of parallelizing a simulator of general scattering and radiation electromagnetic problems. …
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On the performance of a new parallel algorithm for large-scale simulations of nonlinear partial differential equations
A new parallel numerical algorithm based on generating suitable random trees has been developed for solving nonlinear parabolic partial …
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Elastic interactions in phase-field crystal models: Numerics and postprocessing
In this paper, numerical and implementation aspects of the phase-field crystal model with elastic interactions are addressed. This …
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Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition
Initial- and initial-boundary value problems for nonlinear one-dimensional parabolic partial differential equations are solved …
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Application of the RBF meshless method to the solution of the radiative transport equation
In this paper, we introduce a radial basis function collocation method for computing solutions to the time-dependent radiative transfer …
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A fully scalable algorithm suited for petascale computing and beyond
Nowadays supercomputers have already entered in the petascale computing era and peak rate performance is dramatically increasing year …
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Using polarization to find a source in a turbid medium
We study multiple scattering of partially polarized light using the theory of radiative transport. In particular, we study the light …
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Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions
A method is proposed to improve the accuracy of the numerical solution of elliptic problems with discontinuous boundary conditions …
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Solving delay differential equations through RBF collocation
A general and easy-to-code numerical method based on radial basis functions (RBFs) collocation is proposed for the solution of delay …
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Reflectance optical tomography in epithelial tissues
We seek to reconstruct an absorbing obstacle contained within the top layer of a two-layer halfspace from boundary measurements of …
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Radial basis function solution of the lid-driven cavity problem using the stream function formulation
An RBF meshless method for the solution of the steady incompressible Navier-Stokes equations using the streamfunction-vorticity …
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Parallelising a simulator for the analysis of electromagnetic radiation using mumps library
The practical experience of parallelising a simulator of gen- eral scattering and radiation electromagnetic problems is presented. The …
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On the enriched RBF method for singular potential problems
The performance of Kansa’s method in the solution of elliptic partial differential equations (PDEs) with singular boundary …
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Microwave imaging for early breast cancer detection using a shape-based strategy
In this paper, we propose and analyze a novel shape reconstruction technique for the early detection of breast cancer from microwave …
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Fluorescence lifetime imaging from time resolved measurements using a shape-based approach
We present a novel fluorescent tomography algorithm to estimate the spatial distribution of fluorophores and the fluorescence lifetimes …
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Enhancement of signal response in complex networks induced by topology and noise
The effect of the topological structure of a coupled dynamical system in presence of noise on the signal response is investigated. In …
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Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees
A domain decomposition method is developed for the numerical solution of nonlinear parabolic partial differential equations in any …
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Detecting and imaging dielectric objects from real data: A shape-based approach
In this paper we investigate the performance of a shape-reconstruction technique as tested on the ‘Marseille data’. This …
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Crack reconstruction using a level-set strategy
We present a level-set based technique to recover key characteristics of a defect or crack (e.g. location, length and shape) in a …
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Comparison of light scattering models for diffuse optical tomography
We reconstruct images of the absorption and the scattering coefficients for diffuse optical tomography using five different models for …
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An adjoint-field technique for shape reconstruction of 3-D penetrable object immersed in lossy medium
An inversion algorithm is presented that is based on hybridization of the adjoint scheme for calculating gradient directions with the …
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A meshless solution to the p-laplace equation
The p-Laplace equation is a non-linear elliptic PDE which plays an important role in the modeling of many phenomena in areas such as …
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Scalability and performance analysis of a probabilistic domain decomposition method
In this paper, we analyze the scalability and performance of a probabilistic domain decomposition strategy for solving linear elliptic …
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Reservoir characterization using stochastic initializations and the level set method
In this work we present a novel level set technique for shape reconstruction in history matching for reservoirs with two or more kinds …
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Polarization-based optical imaging
In this study I present polarization effects resulting from the reflection and transmission of a narrow beam of light through …
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Light propagation in two-layer tissues with an irregular interface
We study light propagation in a half-space composed of two homogeneous layers each having different optical properties from the other. …
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Light propagation in tissues with forward-peaked and large-angle scattering
We study light propagation in tissues using the theory of radiative transport. In particular, we study the case in which there is both …
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Introduction to image reconstruction
The problem of reconstructing images from measurements at the boundary of a domain belong to the class of inverse problems. In …
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A level set evolution strategy in microwave imaging for early breast cancer detection
In this paper we propose and analyse a novel shape-reconstruction technique for the early detection of breast cancer from microwave …
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Supercomputing applications to the numerical modeling of industrial and applied mathematics problems
Present and future supercomputers offer many opportunities and advantages to attack complex and demanding industrial and applied …
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Reconstruction of transmembrane currents using support vector machines and its application to endocardial mapping: A model study
Recent endocardial mapping systems reconstruct an instantaneous image of the endocardial electrical activity performing the inverse …
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Reconstructing a thin absorbing obstacle in a half-space of tissue
We solve direct and inverse obstacle-scattering problems in a half-space composed of a uniform absorbing and scattering medium. …
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RBF meshless modeling of non-Newtonian Hele-Shaw flow
In this paper we consider the problem of injecting a non-Newtonian fluid into a thin cavity. Using the Hele-Shaw approximation the …
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On the stability of surface shape reconstruction using microwave algorithm for 3-D breast tumor based on the adjoint-fields scheme
The main purpose of this paper is to investigate some stability issues observed in the surface shape reconstruction algorithm of 3-D …
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Imaging low sensitivity regions in petroleum reservoirs using topological perturbations and level sets
We present a novel mathematical algorithm for the characterization of non-conventional reservoirs which contain regions of low …
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Erratum: Amplified signal response in scale-free networks by collaborative signaling (Physical Review Letters (2007)99 (128701))
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An RBF meshless method for injection molding modelling
Recently, very intensive efforts have been devoted to develop meshless or element free methods that eliminate the need of element …
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A New Probabilistic Approach to the Domain Decomposition Method
A hybrid numerical scheme based on a probabilistic method along with a classical domain decomposition is proposed for solving …
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A new domain decomposition approach suited for grid computing
In this paper, we describe a new kind of domain decomposition strategy for solving linear elliptic boundary-value problems. It …
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A fully scalable parallel algorithm for solving elliptic partial differential equations
A comparison is made between the probabilistic domain decomposition (DD) method and a certain deterministic DD method for solving …
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Simultaneous characterization of geological shapes and permeability distributions in reservoirs using the level set method
An important technique in modern reservoir management is the use of production data for the characterization of permeability …
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Second harmonics effects in random duffing oscillators
We consider a stochastic model for Duffing oscillators, where the nonlinearity and the randomness are scaled in such a way that they …
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Radiative transport theory for optical molecular imaging
We study the inverse fluorescent source problem for optical molecular imaging. In particular, we recover key properties of a …
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Domain decomposition solution of elliptic boundary-value problems via Monte Carlo and quasi-Monte Carlo methods
Domain decomposition of two-dimensional domains on which boundary-value elliptic problems are formulated is accomplished by …
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Detection of small tumors in microwave medical imaging using level sets and music
We focus on the application of microwaves for the early detection of breast cancer. We investigate the potential of a novel strategy …
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The Kuramoto model: A simple paradigm for synchronization phenomena
Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, …
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The fractional Fourier transform in the analysis and synthesis of fiber Bragg gratings
An approach based on the fractional Fourier transform is proposed for both analysis and synthesis of fiber Bragg gratings. The method …
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Probabilistically induced domain decomposition methods for elliptic boundary-value problems
Monte Carlo as well as quasi-Monte Carlo methods are used to generate only few interfacial values in two-dimensional domains where …
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Periodically generated propagating pulses
Certain equations with integral constraints have as solutions time-periodic pulses of a fieldlike unknown while a currentlike unknown …
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Light transport in two-layer tissues.
We study theoretically light backscattered by tissues using the radiative transport equation. In particular we consider a two-layered …
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Light transport in two-layer tissues
We study theoretically light backscattered by tissues using the radiative transport equation. In particular we consider a twolayered …
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History matching problem in reservoir engineering using the propagation-backpropagation method
This paper describes the application of the adjoint method to the history matching problem in reservoir engineering. The history …
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Fast simulations of stochastic dynamical systems
A number of features relevant to stochastic dynamical systems, such as moments of solutions and first passage times, can be efficiently …
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Noisy FitzHugh-Nagumo model: From single elements to globally coupled networks
The effect of noise in the FitzHugh-Nagumo (FHN) model, a noisy dynamical system, was investigated. A Fokker-Planck equation was also …
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Emergent oscillations in unidirectionally coupled overdamped bistable systems
It is well known that overdamped unforced dynamical systems do not oscillate. However, well-designed coupling schemes, together with …
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Emergent oscillations in unidirectionally coupled overdamped bistable systems
The oscillatory behavior of unidirectionally coupled overdamped bistable systems was studied. It was found that for an oscillating …
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Beam propagation in sharply peaked forward scattering media
We calculate the radiance of a light beam propagating in a uniformly scattering and absorbing slab and determine the point-spread …
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Backscattering of beams by forward-peaked scattering media
For a beam impinging on a scattering medium the diffusion approximation to the radiative transport equation is not valid for analyzing …
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Radiative transfer computations for optical beams
In this paper, we present a method for computing direct numerical simulations of narrow optical beam waves propagating and scattering …
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Modelling Auto-Acceleration in DGEBA/Diamine Systems
Curing of epoxy resins with aliphatic diamines at low temperatures deviates from the 4EQ mechanism (catalytic and non-catalytic dual …
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Injection locking near a stochastic bifurcation: The dc SQUID as a case study
We examine the response of a 2D nonlinear oscillator (exemplified in this work by the two-junction superconducting quantum interference …
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Cooperative dynamics in a class of coupled two-dimensional oscillators
We study a system of globally coupled two-dimensional nonlinear oscillators [using the two-junction superconducting quantum …
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Cooperative dynamics in a class of coupled two-dimensional oscillators
Cooperative dynamics in a class of coupled two dimensional oscillators, using two-junction superconducting quantum interference device …
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Beam propagation in multiple scattering media
We examine optical beam propagation and scattering in random media using three equations: radiative transfer, Fokker-Planck and …
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Backscattering of circularly polarized pulses
To examine the phenomenon of polarization memory, we examine time resolved backscattering of circularly polarized plane waves normally …
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A simplified formulation for heterogeneous catalytic combustion in stagnation-point flows
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Noise-mediated cooperative behavior in a system of coupled DC squids
We study the oscillator equations describing a system of coupled dc SQUIDs. The circulating current in each SQUID is inductively and …
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Chebyshev spectral methods for radiative transfer
We study the performance of Chebyshev spectral methods for time-dependent radiative transfer equations. Starting with a method for …
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Backscattering of circularly polarized pulses
Using numerical simulations of vector radiative transport, we examine time-resolved backscattering of circularly polarized plane waves …
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Theoretical and numerical analysis of polarization for time-dependent radiative transfer equations
We consider the matrix-valued radiative transfer equations for the Stokes parameters for the propagation of light through turbulent …
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Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation
A spectral method is developed to numerically solve the so-called Kuramoto-Sakaguchi equation, which is a nonlinear …
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Spatiotemporal structures in undoped photoexcited semiconductor superlattices
Semiconductor superlattices are a very interesting example of a nonlinear dynamical system with a large number of degrees of freedom. …
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Optical polarization imaging in biological tissue
We present a study of the polarization effects resulting from the reflection and transmission of a narrow beam of light through …
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Numerical study of hyperbolic equations with integral constraints arising in semiconductor theory
An efficient numerical scheme is described for the solution of certain types of nonlinear hyperbolic equations with an integral …
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Noise-mediated dynamics in a two-dimensional oscillator: Exact solutions and numerical results
We derive a Fokker-Planck equation (FPE) to analyze the oscillator equations describing a nonlinear amplifier, exemplified by a …
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Influence of the relative refractive index on the depolarization of multiply scattered waves
Using the theory of radiative transfer, we investigate the interaction between polarized waves and a multiple scattering medium as …
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Influence of the relative index on the depolarization of multiply scattered waves
The influence of relative refractive index on the depolarization of multiply scattered waves was investigated. Circularly and linearly …
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Depolarization and blurring of optical images by biological tissue
We present a study of the image blurring and depolarization resulting from the transmission of a narrow beam of light through a …
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Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations
Bistability between synchronized stationary states is shown to occur in large populations of nonlinearly coupled random oscillators …
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Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations
The existence of a bistable behavior between (partially) synchronized stationary states, occurring in large populations of nonlinearly …
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Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators
Numerical evidence as well as an analytical description is given for the existence of a kind of "uncertainty principle" in …
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Synchronization in populations of globally coupled oscillators with inertial effects
The inertial effects on globally coupled oscillators were studied taking into account the effects of white noise, inertia, and spread …
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Polarization effects of seismic waves on the basis of radiative transport theory
Radiative transfer theory provides a good framework for the study of multiple scattering in the randomly inhomogeneous lithosphere. …
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Full torus Landau fluid calculations of ion temperature gradient-driven turbulence in cylindrical geometry
Results of Landau fluid calculations of ion temperature gradient-driven turbulence in cylindrical geometry but which cover the whole …
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Dynamics of electric field domain walls in semiconductor superlattices
A self-consistent microscopic model of sequential tunneling in superlattices is employed to investigate self-sustained current …
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Bifurcation behavior of a superlattice model
We present a complete description of the stationary and dynamical behavior of semiconductor superlattices in the framework of a …
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Ion temperature gradient turbulence numerical calculations
Ion temperature gradient (ITG) turbulence, also referred as ηi-mode, has been proposed as one of the dominant mechanisms determining …
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Energy limits on runaway electrons in tokamak plasmas
A test particle description of the runaway dynamics is used to analyze some of the main mechanisms limiting the runaway energy in a …
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Drift model of resonant tunneling in superlattices including a time delay simulating electron scattering mechanisms
The current oscillations in semiconductor superlattices under domain formation, which are due to a recycling of the domain boundary, …
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Determination of EL2 capture and emission coefficients in semi-insulating n-GaAs
We have determined the capture and emission coefficients by EL2 traps in semi-insulating n-GaAs using available experimental results. …
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Current self-oscillations, spikes, and crossover between charge monopole and dipole waves in semiconductor superlattices
Self-sustained current oscillations in weakly coupled superlattices are studied by means of a self-consistent microscopic model of …
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Photorefractive Gunn effect
We present and numerically solve a model of the photorefractive Gunn effect. We find that high-field domains can be triggered by …
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Momentum-space structure of relativistic runaway electrons
The dynamics of relativistic runaway electrons in tokamak plasmas is analyzed using a test particle description that includes …
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Elastic wave propagation with the finite-element method: Comparison of different numerical techniques
Numerical solution of the elastic wave equation has proven to be a very valuable tool For genphyscists in forward modeling and …
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Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators
The mean-field Kuramoto model for synchronization of phase oscillators with an asymmetric bimodal frequency distribution is analyzed. …
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Asymptotic description of transients and synchronized states of globally coupled oscillators
A two-timescale asymptotic method has been introduced to analyze the multimodal mean-field Kuramoto model of oscillator synchronization …
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Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators
Phase models describing self-synchronization phenomena in populations of globally coupled oscillators are generalized including …
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Spikes in the current self-oscillations of doped GaAs/AlAs superlattices
In doped, weakly coupled superlattices, current self-oscillations occur due to a recycling motion of a charge monopole, which forms the …
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Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices
The continuum limit of a recently proposed model for charge transport in resonant-tunneling semiconductor superlattices (SLs) is …
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Numerical tokamak turbulence calculations on the CRAY T3E1
Full cross section calculations of ion-temperature-gradient-driven turbulence with Landau closure are being carried out as part of the …
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Microscopic model for sequential tunneling in semiconductor multiple quantum wells
We propose a self-consistent microscopic model of vertical sequential tunneling through multiple quantum wells. The model includes a …
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Current-voltage characteristic and stability in resonant-tunneling n-dopedsemiconductor superlattices
We review the occurrence of electric-field domains in doped superlattices within a discrete drift model. A complete analysis of the …
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Asymptotics of the trap-dominated Gunn effect in p-type Ge
We present an asymptotic analysis of the Gunn effect in a drift-diffusion model - including electric-field-dependent …
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Onset of the Gunn effect in semiconductors: Bifurcation analysis and numerical simulations
In this note, the onset of the Gunn effect in the classical 1D unipolar drift-diffusion model is investigated through a Hopf …
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Fragile-glass behavior of a short-range p-spin model
We propose a short-range generalization of the p-spin interaction spin-glass model. The model is well suited to test the idea that an …
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Dynamics of electric-field domains and Chaos in semiconductor superlattices
A discrete drift model of sequential resonant tunneling in weakly-coupled doped or undoped GaAs/AlAs superlattices (SL) under d.c. or …
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Self-oscillations of the current in doped semiconductor superlattices
Self-sustained current oscillations have been found in doped GaAs-AlAs superlattices and are investigated experimentally and …
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Self-oscillations of domains in doped GaAs-AlAs superlattices
Self-sustained oscillations of the current have been observed and simulated in a doped GaAs-AlAs superlattice under voltage control. …
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Cost‐effective staggered schemes for the numerical simulation of wave propagation
This paper presents a cost‐effectiveness analysis of explicit Finite Difference (FD) methods for the numerical integration of the wave …
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Finite-element method for elastic wave propagation
The computational aspects of the finite-element method for the elastic wave equations are considered. The necessary numerical …
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Dispersion-bounded numerical integration of the elastodynamic equations with cost-effective staggered schemes
Known procedures for designing numerical schemes for the integration of elastodynamic equations with explicit control over numerical …
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A simplified model to predict the performance of FORTRAN vector loops of the IBM 3090/VF
A simple model is described, which can be used to estimate execution times of vectorized FORTRAN loops on the IBM 3090/VF. Although a …
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Parallelism in seismic computing
This paper describes a vectorized and parallelized implementation of a two-dimensional pseudo-spectral seismic elastic model and of a …
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ELASTIC MODELLING AND ITS APPLICATION TO AMPLITUDE VERSUS ANGLE INTERPRETATION
For the correct interpretation of data gathered in the seismic prospecting of complex heterogeneous structures, elastic effects must …
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Cost-effective staggered numerical integration of the wave equation
Finite-difference (FD) schemes for the numerical integration of the wave equation are generally designed with one of two criteria: (a) …
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Stacking Velocity Analysis on complex traces
The Stacking Velocity Analysis of seismic reflection data is based on the approximation of the traveltime curves in Common-Depth-Point …
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DYNAMIC MODELING OF GREENHOUSE ENVIRONMENT.
The paper describes an investigation that was conducted to develop a mathematical model based solely on primary boundary conditions and …
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