Some numerical examples using a priori bounds on difference quotients

DOI10.1007/BF02849486zbMath0238.65038OpenAlexW2036951684MaRDI QIDQ2553147

M. N. McAllister, G. T. McAllister

Publication date: 1970

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02849486

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for partial differential equations, boundary value problems (65N99)

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Cites Work

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• Error estimates for the numerical solution of elliptic differential equations
• A priori bounds on difference quotients of solutions to some linear uniformly elliptic difference equations
• Dirichlet problems for mildly nonlinear elliptic difference equations
• An application of a priori bounds on difference quotients to a constructive solution of midly quasilinear Dirichlet problems
• On mildly nonlinear partial difference equations of elliptic type