Efficient variable stiffness methods for cooling of hot-rolled steel sections.

DOI10.1016/S0898-1221(00)00173-5zbMath1166.74429OpenAlexW2019182308MaRDI QIDQ1586313

J. R. Dormand, M. H. B. M. Shariff, A. D. Richardson

Publication date: 13 November 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00173-5

zbMATH Keywords

Partial differential equationsRunge-KuttaAbsolute stabilityStiff systemsSemi-discretisationThermal modeling

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element methods applied to problems in solid mechanics (74S05) Stefan problems, phase changes, etc. (80A22) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Finite element modelling and simulation of bulk material forming

Uses Software

• RKC
• VODE

Cites Work

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• The simulated cooling of the hot-rolled structural steel sections
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• Temperature-dependent heat sources or sinks in a stagnation point flow
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• VODE: A Variable-Coefficient ODE Solver
• On the Internal Stability of Explicit,m-Stage Runge-Kutta Methods for Largem-Values
• On the Economization of Stabilized Runge‐Kutta Methods with Applications to Parabolic Initial Value Problems
• Partitioning strategies in Runge-Kutta type methods
• Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elements

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