In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
Abstract. We study high order numerical quadratures to one dimensional delta function integrals in this paper. This is motivated by the fact that traditional numerical quadratures ...
Natural fractured media are highly unpredictable because of existing complex structures at the fracture and at the network levels. Fractures are by themselves heterogeneous objects...
In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Will...
Understanding flow in the three-dimensional phase space is challenging both to human experts and to current computer science technology. To break through the barrier, we are build...