Aveiro Discretization Method in Mathematics: A New Discretization Principle

DOI10.1007/978-1-4939-1106-6_3zbMath1319.65103OpenAlexW2204455842MaRDI QIDQ5265256

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Publication date: 23 July 2015

Published in: Mathematics Without Boundaries (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/16630

zbMATH Keywords

integral equationconvolutionreproducing kernelgeneralized inversesampling theorysingular integral equationTikhonov regularizationnumerical experimentlinear partial differential equationsreal inversion of Laplace transformsmoothness of function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Integral equations with kernels of Cauchy type (45E05) Boundary value problems for linear first-order PDEs (35F15)

Related Items (4)

Initial Value Problems in Linear Integral Operator Equations ⋮ Reproducing Kernels and Discretization ⋮ A Reproducing Kernel Theory with Some General Applications ⋮ A fundamental theorem on initial value problems by using the theory of reproducing kernels

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