EXPODE - Advanced Exponential Time Integration Toolbox for MATLAB, Code Documentation
Georg Jansing
TL;DR
EXPODE is a MATLAB toolbox providing advanced exponential time integration methods, including Runge-Kutta and Rosenbrock, with matrix function evaluation and adaptive step control, facilitating efficient solutions of differential equations.
Contribution
It introduces a comprehensive MATLAB toolbox supporting various exponential integrators with matrix function evaluation and adaptive step size control.
Findings
Supports multiple exponential integrators including Runge-Kutta and Rosenbrock methods
Provides matrix function evaluation via direct or Krylov methods
Includes adaptive step size control for improved efficiency
Abstract
EXPODE is a MATLAB toolbox for exponential time integration. It supports exponential Runge-Kutta- and Rosenbrock-methods, linearized and non-linearized multistep-methods and the EXP4. We support evaluation of the arising matrix functions either directly or by a Krylov method. We also have adaptive step width control for some of the methods. This document contains the documentation of the software package. The software itself is available from http://www.am.uni-duesseldorf.de/en/Research/03_Software.php .
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Taxonomy
TopicsNumerical methods for differential equations · Matrix Theory and Algorithms · Electromagnetic Simulation and Numerical Methods