Monotone iterations for numerical solutions of nonlinear elliptic partial differential equations

DOI10.1016/0096-3003(92)90012-PzbMath0757.65107OpenAlexW1428514767MaRDI QIDQ1194397

Yau Shu Wong, Xingzhi Ji, Xinzhi Liu

Publication date: 27 September 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90012-p

zbMATH Keywords

convergenceupper and lower solutionsdifference schemeBurgers' equationmonotone iteration methodsquadratic convergencesemilinear second- order elliptic boundary value problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

A block monotone iterative method for numerical solutions of nonlinear elliptic boundary value problems

Uses Software

• CGS

Cites Work

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• Monotone iterative methods for differential systems with finite delay
• Numerical solutions for some coupled systems of nonlinear boundary value problems
• A weighted difference scheme and monotone iterative methods for quasilinear boundary value problems
• Operator inequalities
• Mildly nonlinear elliptic partial differential equations and their numerical solution. II
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

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