The paper proposes a collocation method to solve bivariate elliptic partial differential equations. The method uses Lagrange approximation based on Sinc point collocations. The proposed approximation is collocating on non-equidistant interpolation points generated by conformal maps, called Sinc points. We prove the upper bound of the error for the bivariate Lagrange approximation at these Sinc points. Then we define a collocation algorithm using this approximation to solve elliptic PDEs. We verify the Poly-Sinc technique for different elliptic equations and compare the approximate solutions with exact solutions
This paper studies a class of nonconforming spline collocation methods for solving elliptic PDEs in ...
PhD ThesisThis thesis is mainly concerned with an error analysis of numerical methods for two poi...
AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...
The paper proposes a collocation method to solve bivariate elliptic partial differential equations. ...
AbstractSinc collocation method is proven to provide an exponential convergence rate in solving line...
AbstractSinc collocation method is proven to provide an exponential convergence rate in solving line...
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differ...
AbstractIt is difficult for the Sinc-collocation method to solve directly boundary value problems in...
AbstractIt is difficult for the Sinc-collocation method to solve directly boundary value problems in...
AbstractThis paper gives a survey of recent developments of the Sinc numerical methods. A variety of...
AbstractThis paper presents a truly meshfree method referred to as radial point interpolation colloc...
AbstractThe multiquadric radial basis function (MQ) method is a recent meshless collocation method w...
Polynomial interpolation methods are applied both to the approximation of functions and to the numer...
This paper studies a class of nonconforming spline collocation methods for solving elliptic PDEs in ...
AbstractThis paper deals with the solution of initial-boundary value problems for nonlinear evolutio...
This paper studies a class of nonconforming spline collocation methods for solving elliptic PDEs in ...
PhD ThesisThis thesis is mainly concerned with an error analysis of numerical methods for two poi...
AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...
The paper proposes a collocation method to solve bivariate elliptic partial differential equations. ...
AbstractSinc collocation method is proven to provide an exponential convergence rate in solving line...
AbstractSinc collocation method is proven to provide an exponential convergence rate in solving line...
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differ...
AbstractIt is difficult for the Sinc-collocation method to solve directly boundary value problems in...
AbstractIt is difficult for the Sinc-collocation method to solve directly boundary value problems in...
AbstractThis paper gives a survey of recent developments of the Sinc numerical methods. A variety of...
AbstractThis paper presents a truly meshfree method referred to as radial point interpolation colloc...
AbstractThe multiquadric radial basis function (MQ) method is a recent meshless collocation method w...
Polynomial interpolation methods are applied both to the approximation of functions and to the numer...
This paper studies a class of nonconforming spline collocation methods for solving elliptic PDEs in ...
AbstractThis paper deals with the solution of initial-boundary value problems for nonlinear evolutio...
This paper studies a class of nonconforming spline collocation methods for solving elliptic PDEs in ...
PhD ThesisThis thesis is mainly concerned with an error analysis of numerical methods for two poi...
AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...