38 citations · 224 across the 67 of their papers we have counts for
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Walk on Spheres Algorithm for Helmholtz and Yukawa Equations via Duffin Correspondence
Xuxin Yang, Antti Rasila, Tommi Sottinen
We show that a constant-potential time-independent Schrödinger equation with Dirichlet boundary data can be reformulated as a Laplace equation with Dirichlet boundary data. With th…
Efficient simulation of Schrödinger equation with piecewise constant positive potential
Xuxin Yang, Antti Rasila, Tommi Sottinen
In this paper we introduce a new method for the simulation of a weak solution of the Schrödinger-type equation where the potential is piecewise constant and positive. The method, c…
Conjugate Function Method and Conformal Mappings in Multiply Connected Domains
Harri Hakula, Tri Quach, Antti Rasila
The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method i…
Conformal modulus on domains with strong singularities and cusps
Harri Hakula, Antti Rasila, Matti Vuorinen
We study the problem of computing the conformal modulus of rings and quadrilaterals with strong singularities and cusps on their boundary. We reduce this problem to the numerical s…