A note on the exponential fitting of blended, extended linear multistep methods

DOI10.1007/BF01932841zbMath0488.65030MaRDI QIDQ1166237

Jeff R. Cash

Publication date: 1981

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

A-stabilityautomatic error controlpredictor-corrector schemesstiff differential system21, 450-454 (1981)exponentially fitted blended, extended linear multistep methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Functionally-fitted block \( \theta \)-methods for ordinary differential equations ⋮ A functional fitting Runge-Kutta-Nyström method with variable coefficients. ⋮ Functionally-fitted block methods for ordinary differential equations

Cites Work

• A Class of Numerical Methods of High Order for Stiff Problems in Ordinary Differential Equations
• Fixed Leading Coefficient Implementation of SD-Formulas for Stiff ODEs
• On the Exponential Fitting of Composite, Multiderivative Linear Multistep Methods
• A Fourth Order Exponentially Fitted Method
• Functional Fitting--New Family of Schemes for Integration of Stiff O.D.E.
• On a Class of Implicit Runge-Kutta Procedures
• Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
• Blended Linear Multistep Methods
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations