The use of the generalized extended to the limit sparse factorization techniques for the solution of non-linear elliptic and parabolic difference equations

DOI10.1016/0378-4754(81)90086-0zbMath0471.65071OpenAlexW1968685615MaRDI QIDQ1157678

Elias A. Lipitakis

Publication date: 1981

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(81)90086-0

zbMATH Keywords

numerical resultsiterative schemesextended to the limit LU sparse factorization procedureslarge sparse unsymmetric linear systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Generalized extended to the limit sparse factorization techniques for solving unsymmetric finite element systems
• Solving non-linear elliptic difference equations by extendable sparse factorization procedures
• Monte Carlo path-integral calculations for two-point boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics
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