Results 251 to 260 of about 27,855,056 (325)
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2018
Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
M. Mehra
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Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
M. Mehra
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Collocation methods for integro-differential algebraic equations with index 1
IMA Journal of Numerical Analysis, 2020The notion of the tractability index based on the $\nu $-smoothing property of a Volterra integral operator is introduced for general systems of linear integro-differential algebraic equations (IDAEs).
Hui Liang, H. Brunner
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Extrinsic Meshless Collocation Methods for PDEs on Manifolds
SIAM Journal on Numerical Analysis, 2020We proposed ways to implement meshless collocation methods extrinsically for solving elliptic PDEs on smooth, closed, connected, and complete Riemannian manifolds with arbitrary codimensions.
Meng Chen, Leevan Ling
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Multivalue mixed collocation methods
Applied Mathematics and Computation, 2021Abstract This paper is devoted to the construction of multivalue mixed collocation methods suitable for ordinary differential systems whose solution is known in advance to be oscillatory. Theoretical results concerning the construction and the accuracy of these methods are gained, together with selected numerical experiments.
Conte Dajana +3 more
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, 2020
The visco-elastic dampers can be economically designed for response reduction of dynamical systems. Recent developments in fractional calculus have affected the modeling of visco-elastic materials.
Ehsan Dadkhah Khiabani +3 more
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The visco-elastic dampers can be economically designed for response reduction of dynamical systems. Recent developments in fractional calculus have affected the modeling of visco-elastic materials.
Ehsan Dadkhah Khiabani +3 more
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Improved RBF Collocation Methods for Fourth Order Boundary Value Problems
Communications in Computational Physics, 2020Radial basis function (RBF) collocation methods (RBFCMs) are applied to fourth order boundary value problems (BVPs). In particular, we consider the classical Kansa method and the method of approximate particular solutions (MAPS). In the proposed approach
C. S. Chen
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The variational collocation method
Computer Methods in Applied Mechanics and Engineering, 2016We propose the variational collocation method for the numerical solution of partial differential equations. The conceptual basis is the establishment of a direct connection between the Galerkin method and the classical collocation methods, with the perspective of achieving the accuracy of the former with a computational cost of one point evaluation per
Hector Gomez, Laura De Lorenzis
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USSR Computational Mathematics and Mathematical Physics, 1968
Abstract WHEN solving boundary value problems of mathematical physics by variational methods difficulties are often encountered in evaluating the integrals; and the difficulties are even greater whem empirical functions enter into the equations.
M.F. Kaspshitskaya, A. Yu Luchka
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Abstract WHEN solving boundary value problems of mathematical physics by variational methods difficulties are often encountered in evaluating the integrals; and the difficulties are even greater whem empirical functions enter into the equations.
M.F. Kaspshitskaya, A. Yu Luchka
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Chaos, 2019
The main objective of this paper is to investigate an accurate numerical method for solving a biological fractional model via Atangana-Baleanu fractional derivative. We focused our attention on linear and nonlinear Fisher's equations. We use the spectral
K. Saad +3 more
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The main objective of this paper is to investigate an accurate numerical method for solving a biological fractional model via Atangana-Baleanu fractional derivative. We focused our attention on linear and nonlinear Fisher's equations. We use the spectral
K. Saad +3 more
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Indirect methods of collocation: Trefftz‐Herrera collocation
Numerical Methods for Partial Differential Equations, 1999A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, but computationally far more efficient.
Martin Diaz, Ismael Herrera
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