Ergodic simulations of diffusion in random velocity fields
AbstractErgodic simulations aim at estimating ensemble average characteristics of diffusion in random fields from space averages. The traditional approach, based…
book chapter
Global random walk algorithm for diffusion processes
AbstractThe Global Random Walk algorithm (GRW) performs the simultaneous tracking on a fixed grid of large collections of particles, while…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…
Publications
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
Read More Publication Fields
- (original) (349)
- (preprint) (21)
- (proceedings) (32)
- (survey) (2)
- Announcements (31)
- Approximation Theory (21)
- book chapter (3)
- Books (25)
- Chebyshev method (4)
- Convergence orders (8)
- divided differences (10)
- eigenvalue/eigenvector problems (13)
- finite differences (FD) (4)
- Finite element (FEM) (15)
- Fixed point theory (25)
- global random walk (15)
- history (3)
- inexact/perturbed iterations (11)
- inverse interpolation (11)
- ISI/JCR (148)
- iterative methods (37)
- Krylov methods (6)
- linear systems in Rn (7)
- local convergence (19)
- metals and alloys casting (12)
- Meteorology (5)
- Monte Carlo simulations (4)
- Newton method (22)
- nonlinear equations in Banach spaces (6)
- nonlinear equations in R (11)
- nonlinear systems in Rn (11)
- Numerical Analysis (135)
- Numerical Modeling (100)
- ODEs (4)
- Optimization (4)
- paper (405)
- PDEs (26)
- Schulz type iterations (2)
- secant/chord method (5)
- semilocal convergence (8)
- spectral methods (5)
- Steffenssen methods (7)
- successive approximations (5)
- talk (4)
- Time Series (15)
- Uncategorized (1)