Results 71 to 80 of about 117 (101)
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The Sinc-Galerkin method for parameter-dependent self-adjoint problems
Applied Mathematics and Computation, 1992This paper presents appropriate techniques to treat the parameter \(p(x)\) and general nonhomogeneous boundary conditions in problems of the type \(- (p(x)u'(x))'+q(x)u(x)=f(x ...
McArthur, Kelly M. +3 more
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Symmetrization of the Sinc-Galerkin Method with Block Techniques for Elliptic Equations
IMA Journal of Numerical Analysis, 1989The sinc-Galerkin scheme for the problem \(-\nabla^ 2u+ru=f\) with \(u=0\) on the boundary is considered. For a given basis and weight function the solution reduces to a matrix system \(G\bar u=\bar f\). In the standard scheme G may be non-symmetric but for the scheme considered in this paper the weight function is chosen so that G is symmetric.
Lund, John +2 more
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The fully Sinc‐Galerkin method for time‐dependent boundary conditions
Numerical Methods for Partial Differential Equations, 2004AbstractThe fully Sinc‐Galerkin method is developed for a family of complex‐valued partial differential equations with time‐dependent boundary conditions. The Sinc‐Galerkin discrete system is formulated and represented by a Kronecker product form of those equations. The numerical solution is efficiently calculated and the method exhibits an exponential
Koonprasert, Sanoe, Bowers, Kenneth L.
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A Sinc-Galerkin Method for Convection Dominated Transport
1993The study of boundary layer equations in fluid flow leads one to consider parabolic partial differential equations with large Reynolds numbers.
Timothy S. Carlson +2 more
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Sinc-Galerkin solution to the clamped plate eigenvalue problem
SeMA Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Gamel, Mohamed +2 more
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Numerical implementation of the Sinc‐Galerkin method for second‐order hyperbolic equations
Numerical Methods for Partial Differential Equations, 1987AbstractA fully Galerkin method in both space and time is developed for the second‐order, linear hyperbolic problem. Sinc basis functions are used and error bounds are given which show the exponential convergence rate of the method. The matrices necessary for the formulation of the discrete system are easily assembled.
McArthur, Kelly M. +2 more
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The Sinc-Galerkin Schwarz Alternating Method for Poisson’s Equation
1995Sinc-Galerkin and sinc-collocation methods provide a powerful and diverse set of tools for the numerical solution of differential equations. Sinc methods are particularly appealing because they can be used to solve problems with boundary singularities, while maintaining their characteristic exponential convergence rate.
Nancy J. Lybeck, Kenneth L. Bowers
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Galerkin schemes and the sinc-Galerkin method for singular Sturm-Liouville problems
Journal of Computational Physics, 1990The computation of the eigenvalues of the Sturm-Liouville problem \(Lu(x)\equiv -u''(x)+q(x)u(x)=\lambda \rho (x)u(x),\quad ...
Jarratt, Mary +2 more
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Application of Sinc-Galerkin method to singularly perturbed parabolic convection-diffusion problems
Numerical Algorithms, 2013This paper proposes a numerical method to solve singularly perturbed parabolic initial boundary value problems (IBVPs) of the form: \[ \begin{gathered}\dfrac{\partial u}{\partial t} - \varepsilon \dfrac{\partial^2 u}{\partial x^2} + a(x,t) \dfrac{\partial u}{\partial x} + b(x,t) u = f(x,t), \quad (x,t) \in (0,1) \times (0,T),\\ u(x,0) = u_0(x),\quad x \
J. Rashidinia +2 more
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Sinc-Galerkin solution to eighth-order boundary value problems
SeMA Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed El-Gamel, Amgad Abdrabou
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