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Full-Text Articles in Physical Sciences and Mathematics
Graphs Of Essentially Equivalent Lattice Paths, Lara Pudwell, Marjorie Brewer, Adam Hughes
Graphs Of Essentially Equivalent Lattice Paths, Lara Pudwell, Marjorie Brewer, Adam Hughes
Lara K. Pudwell
No abstract provided.
Boundary-Type Quadrature And Boundary Element Method, Tian-Xiao He
Boundary-Type Quadrature And Boundary Element Method, Tian-Xiao He
Tian-Xiao He
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element scheme, which is used to solve the boundary-value problems of partial differential equations.Numerical examples for solving the exterior boundary-value problem of Helmholtz equation by using the spline approximation and the spline wavelet approximation are given.
Analytical Upstream Collocation Solution Of A Forced Steady-State Convection-Diffusion Equation, Stephen Brill
Analytical Upstream Collocation Solution Of A Forced Steady-State Convection-Diffusion Equation, Stephen Brill
Stephen H. Brill
We give herein formulas for the solution of the Hermite collocation discretization of a nonhomogeneous steady-state convection-diffusion equation in one spatial dimension and with constant coefficients, defined on a uniform mesh, with Dirichlet boundary conditions. The accuracy of the method is enhanced by employing "upsteam weighting" of the convective term in an optimal way. We discuss also the issue of where to optimally sample the forcing function. Computational examples illustrate the efficacy of the optimal upstream weighting technique combined with optimal sampling of the forcing function.