Results 201 to 210 of about 12,036 (231)

Explicit Sinc-Like Methods

1995
In this section we derive several methods of approximation using the function values {f(kh)}∞k=- ∞ . We present a family of simple rational functions, which make possible the explicit and arbitrarily accurate rational approximation of the filter, the step (Heaviside) and the impulse (delta) functions.
Marek A. Kowalski, Krzystof A. Sikorski, Frank Stenger   +2 more
openaire   +1 more source

Convergence of the sinc overlapping domain decomposition method

Applied Mathematics and Computation, 1999
An initial implementation of a sinc-collocation domain decomposition method for two-point boundary value problems with boundary singularities is investigated. The algorithm used to find the solution of an equation approximated with the overlapping method relies on the bordering algorithm [cf. \textit{H. B. Keller}, Numerical solution of bifurcation and
Anne C. Morlet, Nancy J. Lybeck, Kenneth L. Bowers   +2 more
openaire   +1 more source

Sinc Methods for Lévy–Schrödinger Equations

2021
We shall examine the fractional generalization of the eigenvalue problem of Schrodinger’s equation for one dimensional problems in connection with Levy stable probability distributions. The corresponding Sturm–Liouville (SL) problem for the fractional Schrodinger equation is formulated and solved on \(\mathbb {R}\) satisfying natural Dirichlet boundary
openaire   +1 more source

The Sinc method in multiple space dimensions: Model problems

Numerische Mathematik, 1989
The sinc-Galerkin method lies on the use of orthogonal basis S(k,h)(x)\(\equiv \sin c(x-kh/h)\), \(x\in {\mathbb{R}}\), \(h>0\), \(k\in {\mathbb{Z}}\), where the sinc function is given by sinc(x)\(\equiv \sin (\pi x)/\pi x\), \(x\in {\mathbb{R}}\). Corresponding numerical methods including the sinc- Galerkin method have been analyzed by F.
McArthur, Kelly M., Bowers, Kenneth L., Lund, John   +2 more
openaire   +2 more sources

A Sinc‐collocation method with boundary treatment for the Stokes equations

International Journal for Numerical Methods in Fluids, 2006
AbstractIn Stokes equations the velocity u and the pressure p are coupled together by the imcompressibility condition div u=0 which makes the equations difficult to solve numerically. In this paper, a method named Sinc‐collocation method with boundary treatment (SCMBT) is applied to the Stokes equations. The numerical results show that our method is of
Li, Chen, Wu, Xionghua
openaire   +2 more sources

Solving Bratu's problem by double exponential sinc method

2020
Summary: In this study, improved Sinc-Galerkin and Sinc-collocation methods are developed based on double exponential transformation to solve a one-dimensional Bratu-type equation. The properties of these methods are used to reduce the solution of the nonlinear problem to the solution of nonlinear algebraic equations.
Nabati, Mohammad, Nikmanesh, Soudabeh
openaire   +1 more source

The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

Applied Numerical Mathematics, 2021
Jing Guo, Da Xu, Wenlin Qiu
exaly  

Sinc Methods for Quadrature and Differential Equations

1992
John Lund, Kenneth L. Bowers
openaire   +1 more source

Shock wave simulations using Sinc Differential Quadrature Method

Engineering Computations, 2011
Idris Dag, Alper Korkmaz
exaly  

Sinc-Collocation method for solving astrophysics equations

New Astronomy, 2010
Kourosh Parand, Ali Pirkhedri
exaly