Lie group method of the diffusion equations

DOI10.1155/2014/641918zbMath1302.65165OpenAlexW2151585048WikidataQ59046098 ScholiaQ59046098MaRDI QIDQ2248382

Ling Yu, Rong-Fang Huang, Xiao-Yan Gu, Jian-Qiang Sun

Publication date: 26 June 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/641918

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Uses Software

• RODAS

Cites Work

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• Exponential time differencing for stiff systems
• Solving linear ordinary differential equations by exponentials of iterated commutators
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• Numerical integration of ordinary differential equations on manifolds
• Runge-Kutta methods on Lie groups
• Implicit-explicit multistep methods for quasilinear parabolic equations
• Analysis of the heterogeneous multiscale method for ordinary differential equations
• Stability of Runge-Kutta Methods for Trajectory Problems
• Numerical solution of Burger's equation
• Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
• Conservative methods for the Toda lattice equations
• A table of solutions of the one-dimensional Burgers equation

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