A variable multi-step method for transient heat conduction
type: Item
instance of: scholarly article
title: A variable multi-step method for transient heat conduction
zbMATH Open document ID: 0763.65074
DOI: 10.1016/0045-7825(91)90138-V
author: Patrick Smolinski
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-04-01T00:00:00Z
review text: The author presents an explicit multistep method for systems of transient heat conduction equations. The method employs a nodal partition and time steps can be chosen independently. The energy norm is used to prove stability of the method. Numerical experiments are presented for illustration.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 146833
zbMATH Keywords: numerical experiments
zbMATH Keywords: explicit multistep method
zbMATH Keywords: systems
zbMATH Keywords: heat conduction equations
zbMATH Keywords: nodal partition
zbMATH Keywords: stability
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: Stability of explicit‐implicit mesh partitions in time integration
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cites work: Q3907233
cites work: Multi-time-step integration using nodal partitioning
cites work: Stability of multi-time step partitioned transient analysis for first- order systems of equations
cites work: Variable explicit finite element methods for unsteady heat conduction equations
cites work: Engineering applications of numerical integration in stiffness methods.
cites work: Q3671072
full work available at URL: 0045-7825(91)90138-v
OpenAlex ID: W1989553411
description: scientific article; zbMATH DE number 146833