Results 221 to 230 of about 12,685 (261)
Some of the next articles are maybe not open access.
Fast Iterative Methods for Sinc Systems
SIAM Journal on Matrix Analysis and Applications, 2002For solving linear systems arising from the Sinc method applied to boundary value problems Krylov subspace methods with banded preconditioners are proposed. It is shown that the solution of an \((n,n)\)-discrete Sinc system arising from a model problem can be obtained in \({\mathcal O}(n \log^2 n)\) operations by using the preconditioned conjugate ...
Michael K. Ng 0001, Daniel Potts
openaire +2 more sources
Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods
Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seyed Mohammad Ali Aleomraninejad +1 more
openaire +1 more source
Applied Mathematics and Computation, 1986
A Galerkin method using Whittaker cardinal or ''sinc'' functions as basis functions is described for the solution of boundary value problems. When the solution is analytic in the interior of the domain, the error of approximation using \(2N+1\) points is \(O(e^{-\gamma N^{1/2}})\) even if derivatives of the solution are singular at the boundaries.
Schaffer, Steve, Stenger, Frank
openaire +2 more sources
A Galerkin method using Whittaker cardinal or ''sinc'' functions as basis functions is described for the solution of boundary value problems. When the solution is analytic in the interior of the domain, the error of approximation using \(2N+1\) points is \(O(e^{-\gamma N^{1/2}})\) even if derivatives of the solution are singular at the boundaries.
Schaffer, Steve, Stenger, Frank
openaire +2 more sources
Proceedings of the 2009 conference on Symbolic numeric computation, 2009
The present talk gives a survey of the DE-Sinc numerical methods (= the Sinc numerical methods, which have been developed by Stenger and his school, incorporated with double-exponential transformations). The DE-Sinc numerical methods have a feature that they enjoys the convergence rate O(exp(-κ'n/log n)) with some κ'>0 even if the function, or the ...
openaire +1 more source
The present talk gives a survey of the DE-Sinc numerical methods (= the Sinc numerical methods, which have been developed by Stenger and his school, incorporated with double-exponential transformations). The DE-Sinc numerical methods have a feature that they enjoys the convergence rate O(exp(-κ'n/log n)) with some κ'>0 even if the function, or the ...
openaire +1 more source
The RK-Sinc Method for Schrödinger equation
2021 International Applied Computational Electromagnetics Society (ACES-China) Symposium, 2021In this work, the time-dependent Schrodinger equations were implemented by the RK-Sinc method. It offers a high quality in spatial approximations with the Sinc function and a high-efficiency procedure to close to the time advance with the strong stability and low storage Runge-Kutta method.
Min Zhu, Yi Wang
openaire +1 more source
2002
In this chapter we consider an FK2 of the form (1.2.2): ϕ(x) — λ ∫ a b k(x,s)ϕ(s)ds = f (s), where a ≤ x,s ≤ b, and the kernel k(x,s) has a weak singularity at an endpoint. In numerical approximations, whether in quadrature, finite differences,finite elements, and the like, the computational methods generally use polynomials as basis functions to ...
Prem K. Kythe, Pratap Puri
openaire +1 more source
In this chapter we consider an FK2 of the form (1.2.2): ϕ(x) — λ ∫ a b k(x,s)ϕ(s)ds = f (s), where a ≤ x,s ≤ b, and the kernel k(x,s) has a weak singularity at an endpoint. In numerical approximations, whether in quadrature, finite differences,finite elements, and the like, the computational methods generally use polynomials as basis functions to ...
Prem K. Kythe, Pratap Puri
openaire +1 more source
Sinc methods for domain decomposition
Applied Mathematics and Computation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lybeck, Nancy J., Bowers, Kenneth L.
openaire +2 more sources
Sinc-Galerkin method for numerical solution of the Bratu’s problems
Numerical Algorithms, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jalil Rashidinia +2 more
exaly +3 more sources
Sinc-Galerkin method for solving biharmonic problems
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed El-Gamel +2 more
openaire +1 more source
2020
Optimal bounds for the uniform errors of approximation and quadrature in the Sinc basis are extended from simple cartesian products to a class of polyhedra sufficient for most applications by complexification of the space of a simplicial complex. The complexification admits approximation of functions defined on realizations of simplicial complexes that
openaire +1 more source
Optimal bounds for the uniform errors of approximation and quadrature in the Sinc basis are extended from simple cartesian products to a class of polyhedra sufficient for most applications by complexification of the space of a simplicial complex. The complexification admits approximation of functions defined on realizations of simplicial complexes that
openaire +1 more source