Strang-type preconditioners for systems of LMF-based ODE codes

DOI10.1093/imanum/21.2.451zbMath0990.65076OpenAlexW2046492835MaRDI QIDQ2725334

Michael Kwok-Po Ng, Xiao-qing Jin, Raymond Honfu Chan

Publication date: 18 July 2002

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/21.2.451

zbMATH Keywords

convergenceheat equationwave equationinitial value problemsGMRES methodlinear multistep methodboundary value methodsstrang type preconditioners

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (24)

Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations ⋮ Limited memory block preconditioners for fast solution of fractional partial differential equations ⋮ Discrete waveform relaxation method for linear fractional delay differential-algebraic equations ⋮ Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations ⋮ Generalized Kronecker product splitting iteration for the solution of implicit Runge-Kutta and boundary value methods ⋮ Circulant-block preconditioners for solving ordinary differential equations. ⋮ Boundary value methods for transient solutions of queueing networks with variant vacation policy ⋮ Preconditioned GMRES method for a class of Toeplitz linear systems in fractional eigenvalue problems ⋮ A note on T. Chan's preconditioner. ⋮ Circulant preconditioned WR-BVM methods for ODE systems. ⋮ Preconditioned WR-LMF-based method for ODE systems. ⋮ Strang-type preconditioners for solving fractional diffusion equations by boundary value methods ⋮ A splitting preconditioner for the iterative solution of implicit Runge-Kutta and boundary value methods ⋮ The invertibility, explicit determinants, and inverses of circulant and left circulant and \(g\)-circulant matrices involving any continuous Fibonacci and Lucas numbers ⋮ A survey and some extensions of T. Chan's preconditioner ⋮ Boundary value methods with the Crank–Nicolson preconditioner for pricing options in the jump-diffusion model ⋮ Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge--Kutta Schemes for Parabolic PDEs ⋮ Kronecker product based preconditioners for boundary value method discretizations of space fractional diffusion equations ⋮ Circulant preconditioners for solving differential equations with multidelays ⋮ Block preconditioners with circulant blocks for general linear systems ⋮ A high-order finite difference method for 1D nonhomogeneous heat equations ⋮ Preconditioned iterative method for boundary value method discretizations of a parabolic optimal control problem ⋮ Fast algorithms for high-order numerical methods for space-fractional diffusion equations ⋮ BCCB preconditioners for solving linear systems from delay differential equations

This page was built for publication: Strang-type preconditioners for systems of LMF-based ODE codes