VSVO multistep formulae adapted to perturbed second-order differential equations

DOI10.1016/S0893-9659(98)00037-8zbMath0932.65087MaRDI QIDQ1124849

José Manuel Ferrándiz, Jesus Vigo Aguiar

Publication date: 15 March 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

oscillatory solutionsmultistep methodvariable stepsize algorithms

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Multistep variable methods for exact integration of perturbed stiff linear systems ⋮ A probabilistic evolution approach trilogy. I: Quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence ⋮ A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective ⋮ A probabilistic evolution approach trilogy. II: Spectral issues for block triangular evolution matrix, singularities, space extension ⋮ An algorithm for exact integration of some forced and damped oscillatory problems, based in the \(\tau \)-functions ⋮ An improved class of generalized Runge-Kutta-Nyström methods for special second-order differential equations. ⋮ Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems ⋮ Multistep numerical methods for the integration of oscillatory problems in several frequencies ⋮ Truncation approximants to probabilistic evolution of ordinary differential equations under initial conditions via bidiagonal evolution matrices: simple case

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