On computation of solutions of elliptic systems

DOI10.1080/01630568908816340zbMath0697.65074OpenAlexW2066093117MaRDI QIDQ3474857

Philip Korman

Publication date: 1989

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568908816340

zbMATH Keywords

elliptic systemsquasilinearsupersolutionexplicit methodsmonotonicity principlefive-point finite difference equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Approximating optimal controls for elliptic obstacle problem by monotone iteration schemes ⋮ On computation of solution curves for semilinear elliptic problems ⋮ On computation of solutions of fully nonlinear elliptic problems ⋮ An algorithm for computing unstable solutions of semilinear boundary value problems ⋮ Computation of solutions of nonlinear boundary value problems

Cites Work

• Unnamed Item
• Existence results of steady-states of semilinear reaction-diffusion equations and their applications
• On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion

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