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Shooting homotopy analysis method

Engineering Computations, 2017
Purpose The purpose of this paper is to present a new method based on the homotopy analysis method (HAM) with the aim of fast searching and calculating multiple solutions of nonlinear boundary value problems (NBVPs). Design/methodology/approach A major problem with the previously modified HAM, namely, predictor homotopy analysis method, which is ...
L. Ahmad Soltani   +2 more
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Semi-analytic shooting methods for Burgers’ equation

Journal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gie, Gung-Min   +2 more
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QR factorisation in the shooting method

2008 4th European Conference on Circuits and Systems for Communications, 2008
Radio frequency (RF) applications in consumer electronics require solid methods for the computation of the steady state behaviour in autonomous and non autonomous circuits. The shooting method (SH) is possibly the most important steady state time domain numerical method currently employed in circuit simulation.
BRAMBILLA, ANGELO MAURIZIO   +3 more
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The switching-method in multiple shooting

Computing, 1998
Multiple shooting is a well-known technique for the numerical solution of boundary value problems for ordinary differential equations. In order to solve the boundary value problems one has to solve initial value problems defined in the subintervalls of a given grid of shooting points.
BELLAVIA, STEFANIA   +2 more
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Shooting methods for the Schrodinger equation

Journal of Physics A: Mathematical and General, 1987
This is an interesting paper which describes a particular shooting method for a general class of boundary value problems of the form \(-D^ 2\psi +V\psi =E\psi,\psi (0)=1\), \(\psi (L)=0\). The method may be considered from two points of view. Either E is fixed and \(G=\psi '(0)\) is varied to ensure \(\psi (L)=0\) or G is fixed and E is varied.
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Easy Transition Path Sampling Methods: Flexible-Length Aimless Shooting and Permutation Shooting

Journal of Chemical Theory and Computation, 2015
We present new algorithms for conducting transition path sampling (TPS). Permutation shooting rigorously preserves the total energy and momentum of the initial trajectory and is simple to implement even for rigid water molecules. Versions of aimless shooting and permutation shooting that use flexible-length trajectories have simple acceptance criteria ...
Ryan Gotchy, Mullen   +2 more
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Shooting Type Methods

2013
We introduce one of the simplest topological methods, usually known as the shooting method, which basically consists in reducing a problem to a finite-dimensional equation for a certain parameter λ. Then, appropriate tools can be used, such as the Brouwer theorem or equivalent results.
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Bidirectional Shooting: A Strategy to Improve the Reliability of Shooting Methods for ODE

SIAM Journal on Scientific and Statistical Computing, 1984
The authors study shooting methods for boundary value problems in ordinary differential equations from the point of view of how the accuracy and robustness of the ''simple'' shooting procedure can be enhanced. The essential idea is to combine the fundamental matrices originating from both endpoints of the interval in such a way that the smaller ...
de Groen, Pieter P. N., Hermann, Martin
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Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation

Journal of Computational Physics, 1971
We present three accurate and efficient numerical schemes for solving the Falkner-Skan equation with positive or negative wall shear. Newton's method is employed, with the aid of the variational equations, in all the schemes and yields quadratic convergence. First, ordinary shooting is used to solve for the case of positive wall shear. Then a nonlinear
Cebeci, Tuncer, Keller, Herbert B.
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