Modified linear multistep methods for a class of stiff ordinary differential equations

DOI10.1007/BF01932809zbMath0254.65056MaRDI QIDQ5667973

Gunnar Bjurel

Publication date: 1972

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

Piecewise continuous discretization techniques for initial value problems with applications to kinetics and transport ⋮ Mehrschrittverfahren zur numerischen Integration von Differentialgleichungssystemen mit stark verschiedenen Zeitkonstanten ⋮ Exponentially fitted multistep methods by generalized Hermite-Birkhoff interpolation ⋮ Hermite interpolation and \(A\)-stable methods for stiff ordinary differential equations ⋮ Exponential Fitting of Matricial Multistep Methods for Ordinary Differential Equations ⋮ A note on unconditional fixed-h stability of linear multistep formulae ⋮ An Averaging Method for the Stiff Highly Oscillatory Problem

Cites Work

• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Numerical integration of products of Fourier and ordinary polynomials
• Convergence and stability in the numerical integration of ordinary differential equations
• A Numerical Method for Solving Control Differential Equations on Digital Computers
• A Numerical Integration Technique for Ordinary Differential Equations with Widely Separated Eigenvalues
• Linear Multistep Methods with Mildly Varying Coefficients
• The Use of Exponential Sums in Step by Step Integration
• Unnamed Item

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