The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVP<scp>s</scp> for ODE<scp>s</scp>

DOI10.1137/0907027zbMath0611.65050OpenAlexW1988817497WikidataQ57397466 ScholiaQ57397466MaRDI QIDQ3750937

Tony F. Chan, Kenneth R. Jackson

Publication date: 1986

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0907027

zbMATH Keywords

inexact Newton methodssystemsnumerical examplesKrylov subspace methodsiterative linear-equation solversstiff-ODE solvers

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Second-order accurate projective integrators for multiscale problems, Preconditioned implicit solution of linear hyperbolic equations with adaptivity, The numerical solution of large systems of stiff IVPs for ODEs, Reduced storage matrix methods in stiff ODE systems, A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta-type methods, Adaptive local overlapping grid methods for parabolic systems in two space dimensions, Nonlinear CG-like iterative methods, Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function, A parallel nearly implicit time-stepping scheme, Runge-Kutta research at Toronto, Reliable preconditioned iterative linear solvers for some numerical integrators, Partitioned Krylov subspace iteration in implicit Runge-Kutta methods, Stiff ODE solvers: A review of current and coming attractions, Exploiting the separability in the solution of systems of linear ordinary differential equations

Uses Software

• EISPACK
• DIFSUB
• GEARBI