On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer

DOI10.1016/0045-7825(84)90061-6zbMath0549.73084OpenAlexW2062206982MaRDI QIDQ800139

Isaac Fried

Publication date: 1984

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(84)90061-6

zbMATH Keywords

elastodynamicsDuFort-Frankel-Saul'ev syndromenonstationary heat transferstiff systems of equationsUnconditionally stable (semi-)explicit integration schemes

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Numerical and other methods in solid mechanics (74S99)

Related Items

On the lack of convergence of unconditionally stable explicit rational Runge-Kutta schemes, Dahlquist's barriers and much beyond

Cites Work

• Unnamed Item
• Unnamed Item
• Unconditionally stable explicit methods for parabolic equations
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• A Pre´cis of Developments in Computational Methods for Transient Analysis
• An analysis of an unconditionally stable explicit method
• An unconditionally stable explicit algorithm for structural dynamics