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The convergence of shooting methods
BIT, 1973Shooting 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, 1955Abstract 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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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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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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Shooting homotopy analysis method
Engineering Computations, 2017Purpose 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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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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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, 1988A 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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Precise shooting methods for the Schrodinger equation
Journal of Physics A: Mathematical and General, 1988This 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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Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation
Journal of Computational Physics, 1971We 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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A simplified shooting method for the diatomic Eigenvalue problem
Journal of Computational Physics, 1990The authors advocate numerical solution of the Schrödinger equation by shooting in one direction. Particular attention is given to efficient implementation and to the approximation of the boundary conditions. Since shooting in both directions is generally preferred for stability reasons, an analysis of stability would have been useful.
Kobeissi, Hafez +2 more
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Convergence of an interval shooting method
USSR Computational Mathematics and Mathematical Physics, 1978Abstract A NEW method for solving boundary value problems for systems of non-linear first-order ordinary differential equations with unseparated conditions is described. It combines the forward and backward shooting procedures in subintervals of the interval of integration. A proof of the method and a convergence theorem for it are given.
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