Numerical integration of semidiscrete evolution systems

DOI10.1016/0045-7825(81)90167-5zbMath0458.73081OpenAlexW2017065350MaRDI QIDQ1151780

Graham F. Carey, Kamy Sepehrnoori

Publication date: 1981

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(81)90167-5

zbMATH Keywords

accurateefficientparabolic transport equationsRunge-Kutta methods with extended regions of stabilitysemidiscrete evolution systemssemidiscrete spatial differencing or finite element projectionstiff and oscillatory systems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical integration (65D30) Diffusion and convection (76R99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements, Explicit Runge-Kutta methods for parabolic partial differential equations, A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems, Numerical solutions of generalized Burgers–Fisher and generalized Burgers–Huxley equations using collocation of cubicB-splines

Uses Software

• M3RK
• DIFSUB
• GEAR

Cites Work

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