ScholarLens Back to search
1989•SIAM Journal on Scientific and Statistical ComputingRequires access

Efficient Split Linear Multistep Methods for Stiff Ordinary Differential Equations

David Albert Voss, Mark J. Casper

Open publisher page 17 citations

Abstract

A new family of predictor-corrector schemes is designed for the numerical solution of stiff differential systems. Based on split Adams–Moulton formulas through sixth order, members of the new family achieve higher order and possess smaller error constants than corresponding split backward differentiation formulas of the same stepnumber, while maintaining similar stability properties. Some confirmation of this is obtained using a variable step implementation on test problems from the literature.

About this research paper

What this paper is about

A new family of predictor-corrector schemes is designed for the numerical solution of stiff differential systems. Based on split Adams–Moulton formulas through sixth order, members of the new family achieve higher order and possess smaller error constants than corresponding split backward differentiation formulas of the same stepnumber, while maintaining similar stability properties. Some confirmation of this is obtained using a variable step implementation on test problems from the literature.

Why it matters

OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A new family of predictor-corrector schemes is designed for the numerical solution of stiff differential systems. Based on split Adams–Moulton formulas through sixth order, members of the new family achieve higher order and possess smaller error constants than corresponding split backward differentiation formulas of the same stepnumber, while maintaining similar stability properties. Some confirmation of this is obtained using a variable step implementation on test problems from the literature.

Key concepts: Linear multistep method, Backward differentiation formula, Mathematics, Ordinary differential equation, Numerical methods for ordinary differential equations, Applied mathematics, Predictor–corrector method, Stability (learning theory)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Efficient Split Linear Multistep Methods for Stiff Ordinary Differential Equations — Research Paper | ScholarLens