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A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
The expansions approach for solving Cauchy integral equation of the first kind
Cauchy integral equation Chebyshev polynomials
2010/9/27
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determine...
Modified Neumann series for solving Fredholm integral equation
Perturbation Method Fredholm integral equation
2010/9/13
In this paper we present a modification to Neumann series method for solving Fredholm integral equation. We create a perturbation in left side of Fredholm integral equation and we show the decrement o...
A Numerical Method in Terms of the Third Derivative for a Delay Integral Equation from Biomathematics
Delay Integral Equation Successive approximations Perturbed trapezoidal quadrature rule
2008/7/3
This paper presents a numerical method for approximating the positive, bounded and smooth solution of a delay integral equation which occurs in the study of the spread of epidemics. We use the cubic s...