Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems

DOI10.1137/17M1124279zbMath1397.65154OpenAlexW2801175470WikidataQ115525614 ScholiaQ115525614MaRDI QIDQ4641632

M. J. Moreta, Begoña Cano

Publication date: 18 May 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1124279

zbMATH Keywords

linear initial boundary value problemsexponential quadrature rulesavoiding order reduction

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems, Comparison of efficiency among different techniques to avoid order reduction with Strang splitting, A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

Uses Software

• Algorithm 919
• phipm

Cites Work

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• Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators
• Exponential integrators
• Algorithm 919
• Abstract initial boundary value problems
• Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants