We consider solving integral equations on a piecewise smooth surface S in R3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface. The theoretical ...
In the first part of this paper we study the regularity properties of solutions of initial- or boundary-value problems of linear Fredholm integro-differential equations with weakly singular or other ...
In this thesis, we present an implementation of a novel collocation method for solving nonlinear parabolic partial differential equations (PDEs). The temporal partial derivative is discretized using ...
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