Two point Hermite approximations for the solution of linear initial value and boundary value problems

DOI10.1016/0045-7825(83)90021-XzbMath0501.65036OpenAlexW2075696842MaRDI QIDQ1172374

T. Auerbach, J. Menning, Walter Hälg

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90021-x

zbMATH Keywords

systemsinterpolation formulaObreschkoff-formulastwo point Hermite approximations

Mathematics Subject Classification ID

Numerical interpolation (65D05) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Interpolation in approximation theory (41A05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

Improved lumped models for transient heat conduction in a slab with temperature-dependent thermal conductivity ⋮ 3-point Hermite integration of differential equations ⋮ Confluent Prony approximation ⋮ Spatial-resolution, lumped-capacitance thermal model for cylindrical li-ion batteries under high Biot number conditions ⋮ Enhanced lumped-differential formulations of diffusion problems

Cites Work

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• 3-point Hermite integration of differential equations
• Higher order methods for transient diffusion analysis
• Non-linear oscillations using the finite element technique
• Explicit forms for certain Hermite approximations
• High order a-stable methods for the numerical solution of systems of D.E.'s

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