On the Exponential Fitting of Composite, Multiderivative Linear Multistep Methods

DOI10.1137/0718055zbMath0488.65027OpenAlexW2013127634MaRDI QIDQ3949899

Jeff R. Cash

Publication date: 1981

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0718055

zbMATH Keywords

numerical resultsA-stabilitystiff systemsexponential fittinglocal error estimatecomposite, multiderivative 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 (16)

Third derivative hybrid block integrator for solution of stiff systems of initial value problems ⋮ Exponentially fitted third derivative three-step methods for numerical integration of stiff initial value problems ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs: II ⋮ Exponential fitting BDF algorithms and their properties ⋮ Unnamed Item ⋮ New algorithm for first order stiff initial value problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on the exponential fitting of blended, extended linear multistep methods ⋮ On the hybrid method with three off-step points for initial value problems ⋮ Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. I ⋮ Boundary value technique for initial value problems based on Adams-type second derivative methods ⋮ Boundary value technique for initial value problems with continuous second derivative multistep method of Enright ⋮ A fourth order composite two-step method for stiff problems ⋮ Dynamic properties of the local linearization method for initial value problems.

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