On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels
From MaRDI portal
Publication:5030613
DOI10.1080/00207160.2019.1619705zbMath1483.65218OpenAlexW2945311161MaRDI QIDQ5030613
No author found.
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1619705
Fredholm integral equationfast multipole methoddiagonally dominant matrixhighly oscillatorysteepest decent method
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
- A rapid solution of a kind of 1D Fredholm oscillatory integral equation
- Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
- An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
- A wideband fast multipole method for the two-dimensional complex Helmholtz equation
- Evaluation of Cauchy principal value integrals of oscillatory kind
- A new algorithm for Cauchy principal value and Hadamard finite-part integrals
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- On uniform approximations to hypersingular finite-part integrals
- Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels
- On the evaluation of Cauchy principal value integrals of oscillatory functions
- Definitions, properties and applications of finite-part integrals
- The black-box fast multipole method
- Uniform approximations to Cauchy principal value integrals of oscillatory functions
- Rapid solution of integral equations of classical potential theory
- Rapid solution of integral equations of scattering theory in two dimensions
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- On quadrature for Cauchy principal value integrals of oscillatory functions.
- A fast solver for the Stokes equations with distributed forces in complex geometries.
- Fast multipole methods for approximating a function from sampling values
- Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners
- A fast adaptive multipole algorithm in three dimensions
- Fast integration for Cauchy principal value integrals of oscillatory kind
- The fast multipole method: Numerical implementation
- On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
- Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver
- A kernel independent fast multipole algorithm for radial basis functions
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- Cauchy Fast Multipole Method for General Analytic Kernels
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Fast Directional Multilevel Algorithms for Oscillatory Kernels
- Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
- A Fast Adaptive Multipole Algorithm for Particle Simulations
- An Improved Fast Multipole Algorithm for Potential Fields
- An Improved Fast Multipole Algorithm for Potential Fields on the Line
- On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
- Fast Algorithms for Polynomial Interpolation, Integration, and Differentiation
- A Generalized Fast Multipole Method for Nonoscillatory Kernels
- On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
- Fourier-Based Fast Multipole Method for the Helmholtz Equation
- The spectral problem for a class of highly oscillatory Fredholm integral operators
- Integral Equations with a Rapidly Oscillating Kernel
- A fast algorithm for the evaluation of heat potentials
- The Fast Gauss Transform
- A fast algorithm for particle simulations
- A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels
