Generalised functions and divergent integrals

DOI10.1007/BF02166670zbMath0143.38701MaRDI QIDQ2523298

B. W. Ninham

Publication date: 1966

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131717

zbMATH Keywords

numerical analysis

Related Items (16)

Numerical evaluation of hypersingular integrals ⋮ Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective ⋮ The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions ⋮ Problems of dynamic fracture mechanics with allowance for contact of the crack edges ⋮ Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities ⋮ Extenions and results from a method for evaluating fractional integrals ⋮ SINGULAR AND NEAR‐SINGULAR INTEGRALS IN HIGH‐PRECISION DERIVATIVE COMPUTATION ⋮ Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method ⋮ A new algorithm for Cauchy principal value and Hadamard finite-part integrals ⋮ The problem of missing terms in term by term integration involving divergent integrals ⋮ The numerical evaluation of principal value integrals by finite-part integration ⋮ On Kutt's Gaussian quadrature rule for finite-part integrals ⋮ Euler–Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities ⋮ On the validity of the singular integral equations of crack problems at the crack tips ⋮ Singular loadings in elasticity problems and singular solutions of the corresponding integral equations ⋮ A new interpretation of Cauchy type singular integrals with an application to singular integral equations

Cites Work

• The theory of generalized functions
• Unnamed Item

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