On the iterative solution of Hermite collocation equations
YL Lai, A Hadjidimos, EN Houstis, JR Rice - SIAM Journal on Matrix Analysis …, 1995 - SIAM
… spectral analysis of the corresponding Jacobi iteration matrix. These results are applicable
… general Hermite collocation equations. Moreover, the spectral analysis of the Jacobi iteration …
… general Hermite collocation equations. Moreover, the spectral analysis of the Jacobi iteration …
Preconditioned Richardson and minimal residual iterative methods for piecewise Hermite bicubic orthogonal spline collocation equations
B Bialecki - SIAM Journal on Scientific Computing, 1994 - SIAM
… discretization of Poisson’s equation. It is the purpose of this paper to discuss applications of
… iterative methods for the solution of (1.3). Although the orthogonal spline collocation operator …
… iterative methods for the solution of (1.3). Although the orthogonal spline collocation operator …
[PDF][PDF] Parallel iterative solution of the hermite collocation equations on GPUs
E Mathioudakis, N Vilanakis, E Papadopoulou… - Proceedings of the …, 2013 - iaeng.org
… Collocation finite element method using Hermite bi-cubic elements. As the size of the problem
directly suggests the usage of parallel iterative … (BiCGSTAB) iterative method. To induce …
directly suggests the usage of parallel iterative … (BiCGSTAB) iterative method. To induce …
A Hermite collocation method for the approximate solutions of high‐order linear Fredholm integro‐differential equations
… Hermite matrix method is presented to solve high-order linear Fredholm integro-differential
equations … , Wavelet-Galerkin method, the monotone iterative technique, the Tau method, and …
equations … , Wavelet-Galerkin method, the monotone iterative technique, the Tau method, and …
Parallel iterative solution of the Hermite Collocation equations on GPUs II
N Vilanakis, E Mathioudakis - Journal of Physics: Conference …, 2014 - iopscience.iop.org
… Hermite Collocation is a high order finite element method for … free numerical solver for the
solution of linear BVPs results in … equations, suggesting the usage of an efficient iterative solver …
solution of linear BVPs results in … equations, suggesting the usage of an efficient iterative solver …
General interior Hermite collocation methods for second-order elliptic partial differential equations
YL Lai, A Hadjidimos, EN Houstis, JR Rice - Applied numerical …, 1994 - Elsevier
… For the iterative solution of the GINCOL equations, we consider two approaches: … iterative
method instead of point iteration. Three different block partitionings from [7] of the collocation …
method instead of point iteration. Three different block partitionings from [7] of the collocation …
Block iterative algorithms for solving Hermite bicubic collocation equations
W Sun - SIAM journal on numerical analysis, 1996 - SIAM
… , the collocation method with Hermite cubic approximation … collocation method is nonsymmetric,
most investigators still use the Gaussian elimination method for solving the collocation …
most investigators still use the Gaussian elimination method for solving the collocation …
Numerical solution of Burgers' equation by cubic Hermite collocation method
IA Ganaie, VK Kukreja - Applied Mathematics and Computation, 2014 - Elsevier
… In this report we have presented cubic Hermite collocation method for the solution of Burgers’
equation … The matrix system is solved iteratively with Matlab software. In order to start the …
equation … The matrix system is solved iteratively with Matlab software. In order to start the …
[BOOK][B] The analysis of iterative elliptic PDE solvers based on the cubic hermite collocation discretization
YL Lai - 1994 - search.proquest.com
… In order to address the iterative solution of collocation equations we extend the INTCOL.
algorithm for general rectilinear domains (by “rectilinear” we mean the boundaries are parallel …
algorithm for general rectilinear domains (by “rectilinear” we mean the boundaries are parallel …
[HTML][HTML] Orthogonal spline collocation methods for partial differential equations
B Bialecki, G Fairweather - Journal of Computational and Applied …, 2001 - Elsevier
… iterative methods for the solution of the OSC equations examined. The use of OSC methods
in the solution … ),g 1 ] T , then, for Hermite-type or B-spline bases with standard orderings, the …
in the solution … ),g 1 ] T , then, for Hermite-type or B-spline bases with standard orderings, the …