Corrected trapezoidal rules for boundary integral equations in three dimensions
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Publication:2055996
DOI10.1007/s00211-021-01244-1zbMath1477.65272arXiv2007.02512OpenAlexW3214080486MaRDI QIDQ2055996
Bowei Wu, Per-Gunnar Martinsson
Publication date: 1 December 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02512
Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)
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Cites Work
- Unnamed Item
- A Nyström method for weakly singular integral operators on surfaces
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Boundary integral equations in time-harmonic acoustic scattering
- High-order quadratures for the solution of scattering problems in two dimensions
- An integral equation technique for the exterior and interior Neumann problem in toroidal regions
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- High-order corrected trapezoidal quadrature rules for functions with a logarithmic singularity in 2-D.
- Quadrature of singular integrands over surfaces
- Analysis of certain lattice sums
- High-order quadratures for integral operators with singular kernels
- Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities
- Compact numerical quadrature formulas for hypersingular integrals and integral equations
- On lattice sums and Wigner limits
- A high-order accurate accelerated direct solver for acoustic scattering from surfaces
- On the evaluation of layer potentials close to their sources
- High-order corrected trapezoidal quadrature rules for the Coulomb potential in three dimensions
- A convergent boundary integral method for three-dimensional water waves
- A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape
- Corrected trapezoidal rules for a class of singular functions
- The Exponentially Convergent Trapezoidal Rule
- An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
- Partially Symmetric Cubature Formulas for Even Degrees of Exactness
- A Further Extension of the Euler-Maclaurin Summation Formula
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method
- Hybrid Gauss-Trapezoidal Quadrature Rules
- The Numerical Solution of Integral Equations of the Second Kind
- High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
- Fast Direct Solvers for Elliptic PDEs
- Lattice Sums Then and Now
- Linear integral equations
- A fast algorithm for particle simulations
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
