Rectilinear Binary Space Partitioning (BSP) trees are often used for solving various types of range searching problems including ray shooting. We propose a novel method for construction of rectilinear BSP trees for a preferred set of ray shooting queries. Particularly, we study ray sets formed by fixing either the direction or the origin of rays. We analyse and discuss the properties of constru...

this work concerns the peristaltic flow of a williamson fluid model in an inclined asymmetric channel under combined effects of heat and mass transfer. the governing nonlinear partial differential equations are simplified under the lubrication approach and then solved analytically and numerically. the analytical results are computed with the help of regular perturbation and the numerical result...

Abstract. Numerical solutions of exact controllability problems for linear and semilinear 2-d wave equations with distributed controls are studied. Exact controllability problems can be solved by the corresponding optimal control problems. The optimal control problem is reformulated as a system of equations (an optimality system) that consists of an initial value problem for the underlying (lin...

In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with continuation procedure, boundary value problem associated Based viewpoint Wasserstein Hamiltonian flow initial and target densities, our reflects structure underlying exploits it discretization. Several examples are presented ...

We propose a novel method for construction of rectilinear BSP trees for ray shooting acceleration. The trees are contracted according to certain “preferred” set of rays. Particularly, we study ray sets formed by fixing either the direction or the origin of rays. The constructed trees can be used to answer ray shooting query for arbitrary rays, although with higher expected time complexity for r...