5 citations · 12 across the 10 of their papers we have counts for
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An Integral Equation Method for Linear Two-Point Boundary Value Systems
Tianze Zhang, Yixuan Ma, Jun Wang
We present an integral equation-based method for the numerical solution of two-point boundary value systems. Special care is devoted to the mathematical formulation, namely the cho…
A new iterated Tikhonov regularization method for Fredholm integral equation of first kind
Xiaowei Pang, Jun Wang
We consider Fredholm integral equation of the first kind, present an efficient new iterated Tikhonov method to solve it. The new Tikhonov iteration method has been proved which can…
A Fast Adaptive Method for the Heat Equation with Moving or Free Boundaries in One Dimension
Chengyue Song, Jun Wang
We present a fast adaptive method for the evaluation of heat potentials, which plays a key role in the integral equation approach for the solution of the heat equation, especially…
A new version of the adaptive fast Gauss transform for discrete and continuous sources
Leslie Greengard, Shidong Jiang, Manas Rachh +1
We present a new version of the fast Gauss transform (FGT) for discrete and continuous sources. Classical Hermite expansions are avoided entirely, making use only of the plane-wave…
An integral equation method for the simulation of doubly-periodic suspensions of rigid bodies in a shearing viscous flow
Jun Wang, Ehssan Nazockdast, Alex Barnett
With rheology applications in mind, we present a fast solver for the time-dependent effective viscosity of an infinite lattice containing one or more neutrally buoyant smooth rigid…
Fast integral equation methods for linear and semilinear heat equations in moving domains
Jun Wang, Leslie Greengard, Shidong Jiang +1
We present a family of integral equation-based solvers for the linear or semilinear heat equation in complicated moving (or stationary) geometries. This approach has significant ad…
Explicit unconditionally stable methods for the heat equation via potential theory
Alex H. Barnett, Charles L. Epstein, Leslie Greengard +2
We study the stability properties of explicit marching schemes for second-kind Volterra integral equations that arise when solving boundary value problems for the heat equation by…
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries
Leslie Greengard, Shidong Jiang, Jun Wang
Two fundamental difficulties are encountered in the numerical evaluation of time-dependent layer potentials. One is the quadratic cost of history dependence, which has been success…
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions
Jun Wang, Leslie Greengard
We present a hybrid asymptotic/numerical method for the accurate computation of single and double layer heat potentials in two dimensions. It has been shown in previous work that s…
An adaptive fast Gauss transform in two dimensions
Jun Wang, Leslie Greengard
A variety of problems in computational physics and engineering require the convolution of the heat kernel (a Gaussian) with either discrete sources, densities supported on boundari…