Sinc methods for quadrature and differential equations
Sinc methods for quadrature and differential equations
Sinc methods for domain decomposition
Applied Mathematics and Computation
The Schwarz alternating sinc domain decomposition method
Applied Numerical Mathematics
Convergence of the sinc overlapping domain decomposition method
Applied Mathematics and Computation
Summary of Sinc numerical methods
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Recent developments of the Sinc numerical methods
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Journal of Computational and Applied Mathematics
A survey on various computational techniques for nonlinear elliptic boundary value problems
Advances in Engineering Software
Numerical solution of two-point boundary value problems using
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
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Sinc collocation method is proven to provide an exponential convergence rate in solving linear differential equations, even in the presence of singularities. But in order to treat the derivatives on boundaries, people often relied on the finite difference method, which would be expected to limit the accuracy. The present paper develops a Sinc collocation method with boundary treatment for two-point boundary value problems. Numerical results show that the method can directly and efficiently handle the boundary derivatives.