An SVD analysis of linear algebraic equations derived from first kind integral equations
From MaRDI portal
Publication:1065526
DOI10.1016/0377-0427(85)90029-9zbMath0577.65116OpenAlexW1972004260MaRDI QIDQ1065526
Per Christian Hansen, Søren Christiansen
Publication date: 1985
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(85)90029-9
Galerkin methodsingular value decompositionnumerical quadratureLaplace equationfirst kindnumerical case studiesfinite expansion
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)
Related Items
Computation of the singular value expansion, The truncated SVD as a method for regularization, Detecting non-uniqueness of solutions to biharmonic integral equations through SVD, Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM, First kind integral equations for the numerical solution of the plane Dirichlet problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical mapping of exterior domains
- On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/†
- The Deferred Approach to the Limit for Eigenvalues of Integral Equations
- Solution of Boundary Value Problems by Integral Equations of the First Kind
- Perturbation bounds in connection with singular value decomposition
- Relaxationsprozesse in Aerosolströmungen mit polydisperser Partikelphase