[HTML][HTML] Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods

I Alonso-Mallo, B Cano, N Reguera - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, we suggest a technique to avoid order reduction in time when integrating
reaction–diffusion boundary value problems under non-homogeneous boundary conditions …

Error estimates for a splitting integrator for abstract semilinear boundary coupled systems

P Csomós, B Farkas, B Kovács - IMA Journal of Numerical …, 2023 - academic.oup.com
We derive a numerical method, based on operator splitting, to abstract parabolic semilinear
boundary coupled systems. The method decouples the linear components that describe the …

Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems

S Gonzalez-Pinto, D Hernandez-Abreu - arXiv preprint arXiv:2406.05907, 2024 - arxiv.org
This work considers two boundary correction techniques to mitigate the reduction in the
temporal order of convergence in PDE sense (ie, when both the space and time resolutions …

Financial accounting measurement model based on numerical analysis of rigid normal differential equation and rigid functional equation

Z Yan, B Fakieh, RI Ismail - Applied Mathematics and Nonlinear …, 2021 - sciendo.com
The initial value problem of stiff functional differential equations often appears in many fields
such as automatic control, economics and its theoretical and algorithmic research is of …

A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

B Cano, MJ Moreta - Applied Mathematics and Computation, 2020 - Elsevier
In this paper we analyse the order reduction which turns up when integrating nonlinear
wave problems with non-homogeneous and time-dependent boundary conditions with the …

[PDF][PDF] The Strang Splitting Method for Semilinear Parabolic Problems with Noncanonical Boundary Conditions

GB BERTOLI - access.archive-ouverte.unige.ch
Splitting methods are powerful numerical schemes which allow us to divide an evolution
problem into easier subproblems. For reaction-diffusion equations, the Strang splitting …

[PDF][PDF] Sesión Especial 22 Métodos numéricos para Ecuaciones en Derivadas Parciales

IA Mallo, BC Urdiales - rsme2019.unican.es
En este trabajo disenamos un método numérico para resolver sistemas diferenciales de
perturbación singular, parabólicos, unidimensionales en espacio, acoplados en los …

[PDF][PDF] Applied Mathematics and Nonlinear Sciences

L Ma - 2023 - sciendo.com
Warehousing space layout is crucial for e-commerce logistics. A refined and scientific
approach to warehouse design enhances space utilization and operational efficiency. This …