How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems

DOI10.1007/s10543-021-00879-8zbMath1503.65208arXiv1909.12659OpenAlexW3166752974MaRDI QIDQ2132426

Begoña Cano, Nuria Reguera

Publication date: 28 April 2022

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12659

zbMATH Keywords

initial boundary value problemsreaction-diffusionorder reductionLawson methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Avoiding order reduction phenomenon for general linear methods when integrating linear problems with time dependent boundary values ⋮ CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems

Uses Software

• Algorithm 919
• phipm

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential Runge-Kutta methods for parabolic problems.
• Reprint of ``Explicit exponential Runge-Kutta methods of high order for parabolic problems
• Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods
• Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method
• Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods
• Exponential integrators
• Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions
• Algorithm 919
• Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods
• Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems
• Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods
• Analysis of exponential splitting methods for inhomogeneous parabolic equations
• Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

This page was built for publication: How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems