A smooth output interpolation process for BDF codes
type: Item
instance of: scholarly article
title: A smooth output interpolation process for BDF codes
zbMATH Open document ID: 0678.65051
DOI: 10.1016/0096-3003(89)90130-6
author: H. A. Watts
published in: Applied Mathematics and Computation
publication date: 1989-01-01T00:00:00Z
review text: When using the original BDF (backward differentiation formulae) codes developed by C. W. Gear for solving stiff problems discontinuous derivative approximations result at all mesh points and discontinuous solution approximation are produced at certain mesh points when a change in the order of the method takes place. The author discusses the changes necessary to eliminate these discrepancies and the modifications in order to produce a globally smooth interpolation process. These improvements are particularly important in the context of defining a mathematically sound root algorithm. Numerical examples are included.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4111928
zbMATH Keywords: Adams codes
zbMATH Keywords: smooth interpolant
zbMATH Keywords: backward differentiation formulae codes
zbMATH Keywords: stiff problems
zbMATH Keywords: discontinuous solution
zbMATH Keywords: smooth interpolation process
zbMATH Keywords: sound root algorithm
zbMATH Keywords: Numerical examples
reviewed by: Beate Ruffer-Henn
describes a project that uses: FACSIMILE
MaRDI profile type: Publication
full work available at URL: 0096-3003(89)90130-6
OpenAlex ID: W4241147752
cites work: A \(C^ 1\) interpolant for codes based on backward differentiation formulae
cites work: A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
cites work: Stiff ODE solvers: A review of current and coming attractions
cites work: Q3902420
cites work: Q3687624
cites work: Test Results on Initial Value Methods for Non-Stiff Ordinary Differential Equations
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: The automatic integration of ordinary differential equations
cites work: Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique
cites work: Local error and variable order Adams codes
cites work: Global Error Estimates for Ordinary Differential Equations
cites work: Smoother Interpolants for Adams Codes
description: scientific article; zbMATH DE number 4111928