An Approximation Theorist's View on Solving Operator Equations

DOI10.1016/J.CAMWA.2019.09.005zbMath1524.65899arXiv1806.07083MaRDI QIDQ6303210

Robert Schaback

Publication date: 19 June 2018

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solutions to equations with linear operators (65J10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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