Predictor-corrector formulas based on rational interpolants

DOI10.1016/0898-1221(75)90003-6zbMath0329.65049OpenAlexW1964487466MaRDI QIDQ1227265

Jet Wimp, Yudell L. Luke, Wyman Fair

Publication date: 1975

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(75)90003-6

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (18)

Unnamed Item ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs: II ⋮ Non-linear one-step methods for initial value problems ⋮ Rational one-step methods for initial value problems ⋮ A Galerkin method using rational basis functions ⋮ Unnamed Item ⋮ On a constant in the theory of trigonometric series ⋮ Stability and convergence of a class of variable order non-linear one-step rational integrators of initial value problems in ordinary differential equations ⋮ Nonlinear multistep methods for initial value problems ⋮ A numerical study of multistep methods based on continued fractions ⋮ Detecting and locating a singular point in the numerical solution of IVPs for ODEs ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. I ⋮ Nonlinear quadrature rules in the presence of a singularity ⋮ Efficient rational one-step numerical integrators for initial value problems in ordinary differential equations ⋮ Unnamed Item ⋮ An explicit two-step method exact for the scalar test equation \(y'= \lambda y\) ⋮ New extrapolation methods for initial value problems in ordinary differential equations

Cites Work

• Unnamed Item
• [https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]
• Closed Rational Integration Formulas
• [https://portal.mardi4nfdi.de/wiki/Publication:5343748 A Method for the Numerical Solution of y � = f(x, y) Based on a Self-Adjusting Non-Polynomial Interpolant]
• Modified Multistep Methods Based on a Nonpolynomial Interpolant
• Rational Approximations to the Solution of the Second Order Riccati Equation

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