Add to ORKGWe present a new method based upon the paper of Volokh and Vilney (2000) that produces highly accurate and stable solutions to very ill-conditioned multiquadric (MQ) radial basis function (RBF) asymmetric collocation methods for partial differential equations (PDEs). We demonstrate that the modified Volokh-Vilney algorithm that we name the improved truncated singular value decomposition (IT-SVD) produces highly accurate and stable numerical solutions for large values of a constant MQ shape parameter, c, that exceeds the critical value of c based upon Gaussian elimination
Abstract-Spectrally accurate interpolation and approximation of derivatives used to be practical onl...
AbstractThis study examines the generalized multiquadrics (MQ), φj(x) = [(x−xj)2+cj2]β in the numeri...
The method of approximate particular solutions (MAPS) was first proposed by Chen et al. in Chen, Fan...
We present a new method based upon the paper of Volokh and Vilney (2000) that produces highly accura...
Radial basis functions (RBFs) have become a popular method for interpolation and solution of partial...
The numerical solution of partial differential equations (PDEs) with Neumann boundary conditions (BC...
AbstractThe multiquadric radial basis function (MQ) method is a recent meshless collocation method w...
AbstractMadych and Nelson [1] proved multiquadric (MQ) mesh-independent radial basis functions (RBFs...
In this follow up paper to our previous study in Bayona et al. (2011) [2], we present a new techniqu...
Radial basis functions (RBFs) have become a popular method for the solution of partial differential ...
Partial differential equations (PDEs) describe complex real-world phenomena such as weather dynamics...
In this paper we propose to apply the golden section search algorithm to determining a good shape pa...
In the numerical solution of partial differential equations (PDEs), there is a need for solving larg...
Method of particular solutions (MPS) has been implemented in many science and engineering problems b...
Radial basis function (RBF) methods are meshfree, i.e., they can operate on unstructured node sets. ...
Abstract-Spectrally accurate interpolation and approximation of derivatives used to be practical onl...
AbstractThis study examines the generalized multiquadrics (MQ), φj(x) = [(x−xj)2+cj2]β in the numeri...
The method of approximate particular solutions (MAPS) was first proposed by Chen et al. in Chen, Fan...
We present a new method based upon the paper of Volokh and Vilney (2000) that produces highly accura...
Radial basis functions (RBFs) have become a popular method for interpolation and solution of partial...
The numerical solution of partial differential equations (PDEs) with Neumann boundary conditions (BC...
AbstractThe multiquadric radial basis function (MQ) method is a recent meshless collocation method w...
AbstractMadych and Nelson [1] proved multiquadric (MQ) mesh-independent radial basis functions (RBFs...
In this follow up paper to our previous study in Bayona et al. (2011) [2], we present a new techniqu...
Radial basis functions (RBFs) have become a popular method for the solution of partial differential ...
Partial differential equations (PDEs) describe complex real-world phenomena such as weather dynamics...
In this paper we propose to apply the golden section search algorithm to determining a good shape pa...
In the numerical solution of partial differential equations (PDEs), there is a need for solving larg...
Method of particular solutions (MPS) has been implemented in many science and engineering problems b...
Radial basis function (RBF) methods are meshfree, i.e., they can operate on unstructured node sets. ...
Abstract-Spectrally accurate interpolation and approximation of derivatives used to be practical onl...
AbstractThis study examines the generalized multiquadrics (MQ), φj(x) = [(x−xj)2+cj2]β in the numeri...
The method of approximate particular solutions (MAPS) was first proposed by Chen et al. in Chen, Fan...