Instability in Runge-Kutta schemes for simulation of oil recovery

DOI10.1007/BF02136036zbMath0553.65085OpenAlexW1979523441MaRDI QIDQ759470

P. H. Sammon, Peter A. I. Forsyth

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02136036

zbMATH Keywords

instabilityRunge-Kutta schemesBuckley-Leverett problemimplicit pressure, explicit saturationmaximum timestepssimulation of oil recovery

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations, Stability and convergence at the PDE/stiff ODE interface

Cites Work

• A note on B-stability of Runge-Kutta methods
• Explicit Runge-Kutta formulas with increased stability boundaries
• Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
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