Results 251 to 260 of about 59,441 (292)

Collocation for Two-Point Boundary Value Problems Revisited

SIAM Journal on Numerical Analysis, 1986
Collocation methods for two-point boundary value problems for higher differential equations are considered. By using appropriate monomial bases, these methods are related to corresponding one-step schemes for first order systems of differential equations.
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Collocation by L-Splines at Transformed Gaussian Points

SIAM Journal on Numerical Analysis, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Collocation Methods for General Caputo Two-Point Boundary Value Problems

Journal of Scientific Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Liang, Martin Stynes
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Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems

SIAM Journal on Numerical Analysis, 1976
A family of discontinuous and simply continuous collocation–Galerkin methods corresponding to the $H^{ - 1} $ methods of Rachford and Wheeler is defined. $L_p $-estimates optimal in local step size and norm on solution are obtained, and local quadratures giving accuracy of higher order are developed.
Dunn, Roderick J. jun., Wheeler, Mary Fanett   +1 more
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Meshfree point collocation method for elasticity and crack problems

International Journal for Numerical Methods in Engineering, 2004
AbstractA generalized diffuse derivative approximation is combined with a point collocation scheme for solid mechanics problems. The derivatives are obtained from a local approximation so their evaluation is computationally very efficient. This meshfree point collocation method has other advantages: it does not require special treatment for essential ...
Lee, Sang-Ho, Yoon, Young-Cheol
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On Collocation Implementation for Singularly Perturbed Two-Point Problems

SIAM Journal on Scientific and Statistical Computing, 1989
The numerical solution of singularly perturbed two-point boundary value problems in ordinary differential equations is considered. Implementation methods for general-purpose solvers of first-order linear systems are examined, with the basic difference scheme being collocation at Gaussian points.
Uri Ascher, Simon Jacobs
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Collocation at Gauss Points as a Discretization in Optimal Control

SIAM Journal on Control and Optimization, 1979
Collocation at Gauss points is shown to be a high order accurate discretization of certain unconstrained optimal control problems. Best possible convergence rates are established along with superconvergence results.
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Upwinding Meshfree Point Collocation Method for Steady MHD Flow

18th International Conference on Nuclear Engineering: Volume 4, Parts A and B, 2010
In this paper, a meshfree point collocation method, with a upwinding scheme, is presented to obtain the numerical solution of the coupled equations in velocity and magnetic field for the fully developed magnetohydrodynamic (MHD) flow through a straight pipe of rectangular section with insulated walls.
Xinghui Cai, Guanghui Su, Suizheng Qiu
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Single collocation point methods for the advection–diffusion equation

Advances in Water Resources, 2004
Abstract This article is offered to honor Professor George F. Pinder. Its technical contents were motivated by an Eulerian–Lagrangian method that was recently proposed by him and his collaborators. Two one-node-collocation algorithms, which may be used to advance that method are presented.
I. Herrera, M. Dı́az-Viera, R. Yates
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Errors in Iteration Points in Oscillatory State for Chebyshev Collocation Points

1999
When the Chebyshev collocation point is calculated by Newton’s iteration process, the round-off errors of iteration points are difficult to analyze. The equation which determines the unknown round-off error is obtained for the iteration point under the condition that the iteration point is stationary.
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