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A shooting method for the Swift-Hohenberg equation

Applied Mathematics-A Journal of Chinese Universities, 2002
The authors consider the differential equation \[ u^{(4)}+ 2u''+ (1- k)u+ u^3= 0.\tag{\(*\)} \] They prove that for \(0< k< 1\), equation \((*)\) has a periodic solution with the same energy as the solution \(u= 0\), and that for \(1 ...
Tao, Youshan, Zhang, Jizhou
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The convergence of shooting methods

BIT, 1973
Shooting methods for nonlinear boundary value problems are examined. It is shown that the methods converge whenever the problem is well posed in the sense that the solution to be computed is isolated.
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A new method of pattern shooting

Geophysics, 1955
Abstract In areas where reflection shooting is difficult, it is often necessary to attenuate the energy in a broad continuous band of disturbing wavelengths to less than a few hundredths of what would be recorded if all units were bunched together.
J. O. Parr, W. H. Mayne
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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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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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A fixed point multiple shooting method

Computing, 1988
A method is proposed for solving ordinary two-point boundary value problems of a certain type. It works if the problem can be transformed into a contracting fixed point equation by means of a Green's function which need not be known for the process. It is similar to multiple shooting but much simpler.
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Novel input method shoot-out

Proceedings of the 8th conference on Human-computer interaction with mobile devices and services, 2006
MobileHCI regularly features papers about novel mobile phone input technologies. This panel presents four speakers representing their technologies. Each technology is approaching commercialization and this panel gives the inventors an opportunity to discuss the merits of their intellectual property and how it can be deployed on mobile devices. Speakers
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Precise shooting methods for the Schrodinger equation

Journal of Physics A: Mathematical and General, 1988
This paper uses analytic continuation procedures to produce very accurate wavefunctions and eigenvalues for the one-dimensional Schrödinger equation \(-(d^ 2\psi)/dx^ 2+V\psi =E\psi.\) The test case \(V=x^ 2\) is considered and also the much studied example \(V=x^ 4\). The paper depends on earlier work done by \textit{A. Holubec} and \textit{A.
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Combining the Shooting Method with an Operational Matrix Method to Solve Two Point Boundary Value Problems

International Journal of Applied and Computational Mathematics, 2021
Kshama Sagar Sahu, M. K. Jena
semanticscholar   +1 more source

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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