Linearized \(\Theta\)-methods. I: Ordinary differential equations

DOI10.1016/0045-7825(95)00915-9zbMath0859.65069OpenAlexW1997084470MaRDI QIDQ2564524

C. M. García-López, Juan I. Ramos

Publication date: 7 April 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00915-9

zbMATH Keywords

convergenceconsistencyiterative method\(A\)-stabilitytheta-methodlinearized methodTaylor's series expansions

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Linearized \(\Theta\)-methods. II: Reaction-diffusion equations, Linearization methods for reaction-diffusion equations: 1-D problems, Linearization methods for reaction-diffusion equations: Multidimensional problems, Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations, Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations., Linearization techniques for singular initial-value problems of ordinary differential equations, Non-standard, explicit integration algorithms based on linearization for nonlinear dynamic response analysis, Linearization methods in classical and quantum mechanics, Piecewise quasilinearization techniques for singular boundary-value problems, Linearized methods for ordinary differential equations, Linearized factorization techniques for multidimensional reaction-diffusion equations, Intermediate boundary conditions in operator-splitting techniques and linearization methods, \(S\)-stability of piecewise-linearized and linearized \(\theta\)-methods

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