A New Step-Size Changing Technique for Multistep Methods

DOI10.2307/2006031zbMath0414.65046OpenAlexW4248054753MaRDI QIDQ3049768

Chris Wallace, Gopal Gupta

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006031

zbMATH Keywords

numerical examplesordinary differential equationsinitial value problemsinterpolation techniquek-step methodsstep- changing sequencevariable-step multistep methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical integration (65D30)

Related Items (2)

A new stepsize change technique for Adams methods ⋮ On solving the stiff ODE's of the kinetics of chemically reacting gas flow

Uses Software

• DIFSUB

Cites Work

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• Local error and variable order Adams codes
• On Numerical Integration of Ordinary Differential Equations
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Stiff Stability and Its Relation to $A_0 $- and $A(0)$-Stability
• Comparing numerical methods for stiff systems of O.D.E:s
• Some New Multistep Methods for Solving Ordinary Differential Equations
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Some New High-Order Multistep Formulae for Solving Stiff Equations
• The automatic integration of ordinary differential equations
• Comparing Numerical Methods for Ordinary Differential Equations
• Algorithms for Changing the Step Size

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