Comparison of Lanczos and CGS solvers for solving numerical heat transfer problems

DOI10.1016/S0898-1221(99)00104-2zbMath0936.65032OpenAlexW2034683969MaRDI QIDQ1806496

Yanyan Li

Publication date: 9 February 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00104-2

zbMATH Keywords

convergencepreconditioningdifference methodKrylov subspace methodLanczos algorithmnonsymmetric systemsheat transfer problemconjugate gradient squared algorithm

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (3)

Efficient Solution of a Sparse Non-symmetric System of Linear Equations ⋮ Comparison of Krylov subspace methods with preconditioning techniques for solving boundary value problems ⋮ Newton-preconditioned Krylov subspace solvers for system of nonlinear equations: A numerical experiment

Uses Software

• CGS

Cites Work

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• A block preconditioned conjugate gradient-type iterative solver for linear systems in thermal reservoir simulation
• The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Polynomial Preconditioners for Conjugate Gradient Calculations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• Methods of conjugate gradients for solving linear systems

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