Unique solvability of the linear system appearing in the invariant scheme of the charge simulation method

DOI10.1007/BF03167460zbMath1030.65120MaRDI QIDQ1394565

Kaname Amano, Dai Okano, Hidenori Ogata, Masaaki Sugihara

Publication date: 4 September 2003

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceLaplace equationcharge simulation methodinvariant scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Error estimation for the invariant scheme of charge simulation method on a disc with scattered points ⋮ Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method ⋮ A remark on the regularity of the coefficient matrix appearing in the charge simulation method ⋮ Numerical conformal mappings onto the linear slit domain

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Comparison of conventional and ``invariant schemes of fundamental solutions method for annular domains
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