Development and application of an exponential method for integrating stiff systems based on the classical Runge-Kutta method

DOI10.1134/S0012266118070066zbMath1416.65185OpenAlexW2887566948WikidataQ115526105 ScholiaQ115526105MaRDI QIDQ1798681

S. A. Konev, M. P. Galanin

Publication date: 23 October 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118070066

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Uses Software

• Algorithm 919
• phipm

Cites Work

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• Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
• Algorithm 919
• A Short Course on Exponential Integrators
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later