Splitting methods for second-order initial value problems

DOI10.1023/A:1019173532665zbMath0927.65087OpenAlexW2529989390MaRDI QIDQ1281789

P. J. van der Houwen, Eleonora Messina

Publication date: 14 December 1999

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

Full work available at URL: https://doi.org/10.1023/a:1019173532665

zbMATH Keywords

stabilityconvergencestiff systemsmethod of linesimplicit methodmodified Newton methoditerative solution methodsinner iterationouter iterationfactorization iteration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

Efficient implementation of Gauss collocation and Hamiltonian boundary value methods

Cites Work

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• Unconditionally stable methods for second order differential equations
• Analysis approximate factorization in iteration methods
• The iterative solution of fully implicit discretizations of three-dimensional transport models
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Two-stage and Three-stage Diagonally Implicit Runge-Kutta Nyström Methods of Orders Three and Four
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>

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