Results 271 to 280 of about 5,960 (305)

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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Nonoverlapping domain decomposition with cross points for orthogonal spline collocation

Journal of Numerical Mathematics, 2008
A nonoverlapping domain decomposition approach with uniform and matching grids is used to define and compute the orthogonal spline collocation solution of the Dirichlet boundary-value problem for Poisson's equation on a square partitioned into four squares.
Bernard Bialecki, Maksymilian Dryja
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A pseudospectral method for optimal control based on collocation at the Gauss points

2018 IEEE Conference on Decision and Control (CDC), 2018
A Gauss collocation method is developed for solving optimal control problems with convex control constraints. The method has a local exponential convergence rate when the solution of the continuous problem is smooth and the Hamiltonian possesses a convexity property.
William W. Hager, Jun Liu 0025, Subhashree Mohapatra, Anil V. Rao, Xiang-Sheng Wang   +4 more
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Maximum principle and convergence analysis for the meshfree point collocation method

SIAM Journal on Numerical Analysis, 2006
The discrete Laplacian operator is considered in the sense of the meshfree point collocation method which will be called the strong meshfree Laplacian operator. To define the strong meshfree Laplacian operator, we use the fast version of the generalized moving least square approximation, which can calculate the approximated derivatives of shape ...
Do Wan Kim, Wing Kam Liu
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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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Boundary element modeling with variable nodal and collocation point locations

Advances in Engineering Software, 2012
In both the real variable and Complex Variable Boundary Element Methods (CVBEM), nodal points are typically located on the problem boundary and then various techniques are used to fit boundary condition values at the nodal point locations such as collocation (equating approximation function to boundary condition values at a discrete set of locations on
T. V. Hromadka II, Devon Zillmer
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Collocation Methods for General Caputo Two-Point Boundary Value Problems

Journal of Scientific Computing, 2017
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Hui Liang 0001, Martin Stynes
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A new aspect for choosing collocation points for solving biharmonic equations

Applied Mathematics and Computation, 2006
The author examines the question of the choice of collocation points for boundary-element methods for the biharmonic equation. He shows that it is possible to choose points in the singular element, so as to minimize the condition number of the corresponding matrix.
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Collocation by the Spline in Tension at Generalized Gaussian Points

1996
Summary: We consider the numerical solution for a singularly perturbed two-point boundary value problem: \(\varepsilon y''+cy=f\). To approximate the solution we have used a spline in tension with the continuous first derivative, determined by the collocation at the collocation points which are the generalization of the classical Gaussian points. The B-
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