R. Spigler

Latest

• The PDD Method for Solving Linear, Nonlinear, and Fractional PDEs Problems
• A fully scalable algorithm suited for petascale computing and beyond
• Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition
• On the performance of a new parallel algorithm for large-scale simulations of nonlinear partial differential equations
• Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees
• Scalability and performance analysis of a probabilistic domain decomposition method
• A fully scalable parallel algorithm for solving elliptic partial differential equations
• A new domain decomposition approach suited for grid computing
• A New Probabilistic Approach to the Domain Decomposition Method
• Supercomputing applications to the numerical modeling of industrial and applied mathematics problems
• Domain decomposition solution of elliptic boundary-value problems via Monte Carlo and quasi-Monte Carlo methods
• Second harmonics effects in random duffing oscillators
• Fast simulations of stochastic dynamical systems
• Probabilistically induced domain decomposition methods for elliptic boundary-value problems
• The fractional Fourier transform in the analysis and synthesis of fiber Bragg gratings
• The Kuramoto model: A simple paradigm for synchronization phenomena
• Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations
• Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations
• Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation
• Synchronization in populations of globally coupled oscillators with inertial effects
• Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators
• Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators
• Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators