A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS

DOI10.1142/S0218127403007175zbMath1062.65117MaRDI QIDQ4653833

Shing-Lin Chang, Cheng-Sheng Chien

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultssingular pointsLanczos methodbifurcationcontinuation methodMultigrid methodminimal residual algorithmnonlinear elliptic eigenvalue problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

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Uses Software

• HOMPACK

Cites Work

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