A splitting preconditioner for implicit Runge-Kutta discretizations of a partial differential-algebraic equation

DOI10.1007/s11075-016-0128-5zbMath1355.65050OpenAlexW2332752325WikidataQ115381612 ScholiaQ115381612MaRDI QIDQ501969

Hao Chen

Publication date: 10 January 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0128-5

zbMATH Keywords

numerical examplespreconditioningiterative methodsimplicit Runge-Kutta methodsbidomain equationspartial differential-algebraic equation

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Iterative numerical methods for linear systems (65F10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (7)

Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations ⋮ Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations ⋮ A two-parameter modified splitting preconditioner for the bidomain equations ⋮ A note on efficient preconditioner of implicit Runge-Kutta methods with application to fractional diffusion equations ⋮ Preconditioned iterative method for boundary value method discretizations of a parabolic optimal control problem ⋮ Kronecker product-based structure preserving preconditioner for three-dimensional space-fractional diffusion equations ⋮ A splitting preconditioner for a block two-by-two linear system with applications to the bidomain equations

Uses Software

• RODAS
• IFISS

Cites Work

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