Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems-Reference-Cited by-同舟云学术

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

Published:2018-01 Issue:3 Volume:56 Page:1187-1209
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Cano Begon͂a,Moreta María Jesús

Funder

Federación Española de Enfermedades Raras

Ministerio de Economía y Competitividad

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/17M1124279

Reference10 articles.

1. Rational methods with optimal order of convergence for partial differential equations

2. Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions

3. Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods

4. Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators

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1. Efficient exponential Rosenbrock methods till order four;Journal of Computational and Applied Mathematics;2025-01

2. Sixth-order exponential Runge–Kutta methods for stiff systems;Applied Mathematics Letters;2024-07

3. Solving reaction-diffusion problems with explicit Runge–Kutta exponential methods without order reduction;ESAIM: Mathematical Modelling and Numerical Analysis;2024-05

4. How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems;BIT Numerical Mathematics;2021-05-28

5. Why Improving the Accuracy of Exponential Integrators Can Decrease Their Computational Cost?;Mathematics;2021-04-29

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