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The Sinc-Galerkin Method for Problems in Oceanography: Author: Koonprasert, Sanoe; Date: 2003-12-15; Program: Mathematics; Abstract: The model for a wind-driven current with depth-dependent eddy viscosity is developed as a complex velocity formulation and a coupled system formulation. The numerical solutions, calculated by a Sinc-Galerkin method, are compared. A fully Sinc-Galerkin method in both space and time for a partial differential equation with time-dependent boundary conditions is developed. This entirely new technique is applied to the model for a wind-driven current with time-dependent viscosity. Several numerical examples are used to test the performance of the method. This fully Sinc-Galerkin method is then appl...; Download File | View full details

An Alternating-Direction Sinc-Galerkin method for elliptic problems on finite and infinite domains: Author: Alonso, Nicomedes III; Date: 2009-05-15; Program: Mathematics; Abstract: Alternating-Direction Implicit (ADI) schemes are a class of very efficient algorithms for the numerical solution of differential equations. Sinc-Galerkin schemes employ a sinc basis to produce exponentially accurate approximate solutions to differential equations even in the presence of singularities. In this dissertation we begin with a broad overview of sinc methods for problems posed on both finite and infinite, one- and two-dimensional domains. We then present a variety of finite difference methods that lead to the introduction of a new Alternating-Direction Sinc-Galerkin scheme based on t...; Download File | View full details