scientific article; zbMATH DE number 1925512

zbMath1022.65032MaRDI QIDQ4707221

Xiao-qing Jin

Publication date: 10 June 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergencenumerical experimentstextbookconjugate gradient methodfinite differencesparabolic equationshyperbolic equationsGMRES algorithmimage restorationmultigrid algorithmscirculant preconditionersblock Toeplitz matricesleast squares algorithminverse heat problemfirst order differential equationsconstrained and weighted least squares problems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Initial value problems for second-order hyperbolic equations (35L15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (6)

Permutation equivalence classes of Kronecker products of unitary Fourier matrices ⋮ Fast multipole boundary element method for the acoustic analysis of finite periodic structures ⋮ Stability of the notion of approximating class of sequences and applications ⋮ Improved Schur complement preconditioners for block-Toeplitz systems with small size blocks ⋮ Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation ⋮ A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach

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