5 citations · 23 across the 28 of their papers we have counts for
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math.NA2015
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…
math.NA2015★ 3 cited
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…
math.PR2015★ 5 cited
Fredholm representation of multiparameter Gaussian processes with applications to equivalence in law and series expansions
Tommi Sottinen, Lauri Viitasaari
We show that every multiparameter Gaussian process with integrable variance function admits a Wiener integral representation of Fredholm type with respect to the Brownian sheet. Th…