Convergence and applications of reproducing kernels for classes of discrete harmonic functions

DOI10.1017/S0004972700043975zbMath0293.31016MaRDI QIDQ4044908

C. Wayn Mastin

Publication date: 1974

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical interpolation (65D05) Discrete potential theory (31C20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) General theory of difference equations (39A05) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• Subspace kernels and minimum problems in Hilbert spaces with kernel function
• Maximum Principle Methods for the Discretization Error in the Approximation of the Bergman Harmonic Kernel by Finite Difference Methods
• Bounds for the Two-Dimensional Discrete Harmonic Green's Function
• XXII.—Random Paths in Two and Three Dimensions
• Theory of Reproducing Kernels
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