Orthogonal Spline Collocation for Nonlinear Dirichlet Problems

DOI10.1137/S0036142999354538zbMath0986.65114MaRDI QIDQ2706378

Rakhim Aitbayev, Bernard Bialecki

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemerror estimatesconsistencyNewton's methodorthogonal spline collocationnonlinear second-order elliptic equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solutions to equations with nonlinear operators (65J15)

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Orthogonal spline collocation methods for partial differential equations

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