Asymptotic error expansions for hypersingular integrals
From MaRDI portal
Publication:1946520
DOI10.1007/s10444-011-9236-xzbMath1281.65048OpenAlexW2094960234MaRDI QIDQ1946520
Publication date: 15 April 2013
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9236-x
algorithmasymptotic expansionnumerical experimentsquadrature formulahypersingular integralRichardson extrapolationEuler-Maclaurin expansionHadamard finite part
Related Items (9)
The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions ⋮ Compact numerical quadrature formulas for hypersingular integrals and integral equations ⋮ Asymptotic expansions of the error for hyper-singular integrals with an interval variable ⋮ Unnamed Item ⋮ Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals ⋮ Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions ⋮ Approximation of Hypersingular Integral Operators With Cauchy Kernel ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral equations with hypersingular kernels--theory and applications to fracture mechanics
- Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
- The Euler-Maclaurin expansion for the Cauchy principal value integral
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- The Euler-Maclaurin expansion and finite-part integrals
- Multi-parameter extrapolation methods for boundary integral equations
- On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
- Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
- Integral equation methods for scattering from an impedance crack.
- On the numerical solution of a hypersingular integral equation in scattering theory
- Regularized product intergration for Hadamard finite part integrals
- Quadratures for boundary integral equations of the first kind with logarithmic kernels
- Hypersingular integral equation method for three-dimensional crack problem in shear mode
- Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- On the solution of integral equations with strongly singular kernels
- A Further Extension of the Euler-Maclaurin Summation Formula
- Evaluations of hypersingular integrals using Gaussian quadrature
- Hypersingular boundary integral equation for axisymmetric elasticity
- The Numerical Solution of Integral Equations of the Second Kind
- Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities
- On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
- Two trigonometric quadrature formulae for evaluating hypersingular integrals
- Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
- The Splitting Extrapolation Method
- An extrapolation method for a class of boundary integral equations
- Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals
- Numerical Quadrature and Asymptotic Expansions
- Linear integral equations
- Analytical integrations of hypersingular kernel in 3D BEM problems
- Numerical quadratures for singular and hypersingular integrals
This page was built for publication: Asymptotic error expansions for hypersingular integrals
