Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term

DOI10.1137/151005798zbMath1327.65128OpenAlexW1134214559WikidataQ57439476 ScholiaQ57439476MaRDI QIDQ2945413

Shumo Cui, Tong Wu, Alexander Kurganov, Alina E. Chertock

Publication date: 10 September 2015

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

Full work available at URL: https://semanticscholar.org/paper/29a2c78b1c1a8546cdc29b8c8a514c90fb854681

zbMATH Keywords

implicit-explicit methodssemi-implicit methodsstrong stability preserving Runge-Kutta methodsordinary differential equations with stiff damping termsshallow water equations with friction terms

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for problems pertaining to geophysics (86-08) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for stiff equations (65L04) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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