A comparison of nonlinear trapezoidal formulae for solving initial value problems

DOI10.1080/00207169108804027zbMath0757.65086OpenAlexW2054267035MaRDI QIDQ3989767

David J. Evans, Bahrom B. Sanugi

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169108804027

zbMATH Keywords

numerical examplelogarithmic mean\(A\)-stabilityharmonic meanEuler formulanonlinear trapezoidal formulasingle step implicit integration formulae

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (11)

New L-Stable Modified Trapezoidal Methods For The Initial Value Problems ⋮ Numerical Strategy For The System Of Second Order Ivps Using RK Method Based On Centroidal Mean ⋮ THE RUNGE-KUTTA CONTRAHARMONIC MEAN METHOD WITH EXTRAPOLATION FOR THE PARALLEL SOLUTION OF O.D.E.'S ⋮ On the numerical solution of by a class of nonlinear trapezoidal formulas ⋮ Exact finite-difference methods based on nonlinear means ⋮ New L-stable modified trapezoidal formulas for the numerical integration of Y¹=f(x, y) ⋮ A class of generalized trapezoidal formulas for the numerical integration of ⋮ High order integration formula using trigonometric polynomials for periodic ivps ⋮ Local error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means ⋮ Stability by order stars for non-linear theta-methods based on means ⋮ A novel numerical method on the resolution of the time-invariant systems response

Cites Work

• A comparison of numerical o.d.e. solvers based on arithmetic and geometric means

This page was built for publication: A comparison of nonlinear trapezoidal formulae for solving initial value problems