The simulated cooling of the hot-rolled structural steel sections

DOI10.1016/0898-1221(96)00029-6zbMath0861.65119OpenAlexW1981752528MaRDI QIDQ1921206

A. D. Richardson, J. R. Dormand

Publication date: 24 April 1997

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

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00029-6

zbMATH Keywords

stabilitynonlinear boundary conditionPeaceman-Rachford methodheat conduction equationalternating direction implicit methodsexplicit Euler methodair coolingembedded Runge-Kutta schemeswater spray coolingWatt's stepsize algorithm

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

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

Cites Work

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• A reconsideration of some embedded Runge-Kutta formulae
• A family of embedded Runge-Kutta formulae
• High order embedded Runge-Kutta formulae
• Explicit Runge-Kutta formulas with increased stability boundaries
• Equilibrium states of Runge Kutta schemes

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