A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs

DOI10.1016/j.cam.2010.08.044zbMath1205.65208OpenAlexW2034895264MaRDI QIDQ611848

Sumit K. Garg

Publication date: 14 December 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.044

zbMATH Keywords

stabilityP-stabilitysecond-order initial value problemshybrid methodsnumerical resultObrechkoff methods

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)

Related Items (9)

A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs ⋮ An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems ⋮ New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis ⋮ A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation ⋮ Unnamed Item ⋮ Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation ⋮ The new class of implicit \(L\)-stable hybrid Obrechkoff method for the numerical solution of first order initial value problems ⋮ A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions ⋮ High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

Cites Work

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