Modified Jacobian Newton iterative method: theory and applications

DOI10.1155/2009/307298zbMath1184.65062OpenAlexW2078306205WikidataQ58648951 ScholiaQ58648951MaRDI QIDQ1036323

Jürgen Geiser

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45826

zbMATH Keywords

convergencenumerical examplesnonlinear differential equationslinearization methodembedded Newton methodsiterative operator-splitting method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear evolution equations (47J35)

Related Items (2)

New versions of iterative splitting methods for the momentum equation ⋮ Lagged diffusivity method for the solution of nonlinear diffusion convection problems with finite differences

Uses Software

• NewtonLib

Cites Work

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• Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• An operator splitting method for nonlinear convection-diffusion equations
• Nichtlineare Funktionalanalysis
• Corrected Operator Splitting for Nonlinear Parabolic Equations
• Some application of splitting-up methods to the solution of mathematical physics problems
• On the Construction and Comparison of Difference Schemes
• Numerical Analysis and Its Applications
• Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies

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