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Direct multiple shooting method
In the area of mathematics known as numerical ordinary differential equations, the direct multiple shooting method is a numerical method for the…
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Related topics
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Jacobian matrix and determinant
List of numerical analysis topics
Newton's method
Numerical method
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Papers overview
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2018
2018
Global optimal control with the direct multiple shooting method
Holger Diedam
,
Sebastian Sager
2018
Summary We propose to solve global optimal control problems with a new algorithm that is based on Bock's direct multiple…
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2014
2014
Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series
Jean-Philippe Lessard
,
Christian Reinhardt
SIAM J. Numerical Analysis
2014
A computational method based on Chebyshev series to rigorously compute solutions of initial and boundary value problems of…
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2013
2013
Direct multiple shooting method for solving approximate shortest path problems
Thanh An Phan
,
Nguyen Ngoc Hai
,
Tran Van Hoai
J. Computational 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…
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Review
2011
Review
2011
The Direct Multiple Shooting Method for Optimal Control
Christian Kirches
2011
In this chapter we consider a class of continuous optimal control problems. We survey different numerical solution approaches…
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Highly Cited
2011
Highly Cited
2011
Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control
Christian Kirches
2011
This thesis aims at the investigation and development of fast numerical methods for nonlinear mixed--integer optimal control and…
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2009
2009
Complementary Condensing for the Direct Multiple Shooting Method
Christian Kirches
,
Hans Georg Bock
,
Johannes P. Schlöder
,
Sebastian Sager
HPSC
2009
In this contribution we address the efficient solution of optimal control problems of dynamic processes with many controls. Such…
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2009
2009
Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems
Helke Karen Hesse
,
Guido Kanschat
J. Num. Math.
2009
Abstract — We devise an indirect multiple shooting (MS) method for PDE constrained optimization with a posteriorierror estimates…
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Highly Cited
2009
Highly Cited
2009
Direct methods with maximal lower bound for mixed-integer optimal control problems
Sebastian Sager
,
Hans Georg Bock
,
Gerhard Reinelt
Math. Program.
2009
Many practical optimal control problems include discrete decisions. These may be either time-independent parameters or time…
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Review
2005
Review
2005
Fast Direct Multiple Shooting Algorithms for Optimal Robot Control
Moritz Diehl
,
Hans Georg Bock
,
Holger Diedam
,
Pierre-Brice Wieber
2005
In this overview paper, we first survey numerical approaches to solve nonlinear optimal control problems, and second, we present…
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2001
2001
Trajectory Optimization Using A Combination of Direct Multiple Shooting and Collocation
Peter F. Gath
,
Klaus H. Well
2001
In the framework of the software package GESOP (Graphical Environment for Simulation and Optimization), a new optimization method…
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