RT info:eu-repo/semantics/article
T1 Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models
A1 Abreu, Eduardo
A1 Durán Martín, Ángel
K1 Pseudo-parabolic equations
K1 Spectral methods
K1 Error estimates
K1 Strong stability preserving methods
K1 Non-regular data
AB In this work, we study the numerical approximation of the initial-boundary-value problem of nonlinear pseudo-parabolic equations with Dirichlet boundary conditions. We propose a discretization in space with spectral schemes based on Jacobi polynomials and in time with robust schemes attending to qualitative features such as stiffness and preservation of strong stability for a more correct simulation of non-regular data. Error estimates for the corresponding semidiscrete Galerkin and collocation schemes are derived. The performance of the fully discrete methods is analyzed in a computational study.
PB Elsevier Science
SN 0898-1221
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/62416
UL https://uvadoc.uva.es/handle/10324/62416
LA eng
NO Computers and Mathematics with Applications, 2021, 102, pp. 15-44
NO Producción Científica
DS UVaDOC
RD 07-ago-2024