Monotone difference schemes for equations with mixed derivatives

DOI10.1016/S0898-1221(02)00164-5zbMath1055.65115OpenAlexW2004827554MaRDI QIDQ1886486

I. E. Mozolevski, Piotr P. Matus, Vladimir I. Mazhukin, A. A. Samarskij

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00164-5

zbMATH Keywords

parabolic equationsStabilityMaximum principleElliptic equationsMixed derivativesMonotone difference scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Population kinetic models for social dynamics: dependence on structural parameters. ⋮ Markov jump processes approximating a non-symmetric generalized diffusion ⋮ An analysis of conservative finite difference schemes for differential equations with discontinuous coefficients ⋮ Monotone numerical schemes for a Dirichlet problem for elliptic operators in divergence form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear monotone schemes for the transport equation
• An approach to adaptive grid construction for non-stationary problems
• Stability theory of difference schemes and iterative methods
• Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations
• STABILITY AND CONVERGENCE OF TWO-LEVEL DIFFERENCE SCHEMES IN INTEGRAL WITH RESPECT TO TIME NORMS
• INVARIANT DIFFERENCE SCHEMES FOR PARABOLIC EQUATIONS WITH TRANSFORMATIONS OF INDEPENDENT VARIABLES
• FINITE-DIFFERENCE METHODS FOR PROBLEM OF CONJUGATION OF HYPERBOLIC AND PARABOLIC EQUATIONS

This page was built for publication: Monotone difference schemes for equations with mixed derivatives