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A modified scheme to the multiple shooting method for BVPs
Alexandria Engineering JournalA significant modification of the multiple shooting method for solving nth order boundary value problems (BVPs) is presented. Initially, the mathematical foundation of this modification is elucidated.
Samad Kheybari +4 more
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Multiple shooting-Local Linearization method for the identification of dynamical systems [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 The combination of the multiple shooting strategy with the generalized Gauss-Newton algorithm turns out in a recognized method for estimating parameters in ordinary differential equations (ODEs) from noisy discrete observations.
Carbonell, F. +2 more
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A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation
SIAM Journal on Scientific Computing, 2022 In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continuation procedure, to solve the boundary value problem associated to the transport problem.
Jianbo Cui, Luca Dieci, Haomin Zhou 0001
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Direct multiple shooting method for solving approximate shortest path problems
Journal of Computational and Applied Mathematics, 2013 We use the idea of the direct multiple shooting method (presented by Bock in Proceedings of the 9th IFAC World Congress Budapest, Pergamon Press, 1984, for solving optimal control problems) to introduce an algorithm for solving some approximate shortest path problems in motion planning.
Thanh An Phan +2 more
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Complementary Condensing for the Direct Multiple Shooting Method [PDF]
Optimization Methods and Software, 2012 In this contribution we address the efficient solution of optimal control problems of dynamic processes with many controls. Such problems typically arise from the convexification of integer control decisions. We treat this problem class using the direct multiple shooting method to discretize the optimal control problem. The resulting nonlinear problems
Kirches, Christian +3 more
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Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2005 The main objective of this paper is the development of a new technique for solving stiff Linear Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), The new Technique consists of combining the linear superposition principle with the ...
Basheer Khalaf, Suhaib Al-Tamr
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GPU-Accelerated Target Strength Prediction Based on Multiresolution Shooting and Bouncing Ray Method
Applied Sciences, 2022 The application of the traditional planar acoustics method is limited due to the low accuracy when computing the echo characteristics of underwater targets. Based on the concept of the shooting and bouncing ray which considers multiple reflections on the
Gang Zhao +4 more
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Multiple-Shooting Adjoint Method for Whole-Brain Dynamic Causal Modeling [PDF]
, 2021 27th International Conference on Information Processing in Medical ...
Juntang Zhuang +5 more
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Applied Sciences, 2020 In this article, an optimization task with nonlinear differential-algebraic equations (DAEs) is considered. As a main result, a new solution procedure is designed. The computational procedure represents the sequential optimization approach.
Paweł Drąg
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Multiple shooting method for two-point boundary value problems [PDF]
Communications of the ACM, 1962 The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the differential equations as an initial value problem with guesses for the unknown initial values.
David D. Morrison +2 more
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