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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… Expand
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Jacobian matrix and determinantList of numerical analysis topicsNewton's methodNumerical method
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Papers overview

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2018
2018
Global optimal control with the direct multiple shooting method
Summary We propose to solve global optimal control problems with a new algorithm that is based on Bock's direct multiple… Expand
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2014
2014
Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series
A computational method based on Chebyshev series to rigorously compute solutions of initial and boundary value problems of… Expand
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2013
2013
Direct multiple shooting method for solving approximate shortest path problems
We use the idea of the direct multiple shooting method (presented by Bock in Proceedings of the 9th IFAC World Congress Budapest… Expand
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Review
2011
Review
2011
The Direct Multiple Shooting Method for Optimal Control
In this chapter we consider a class of continuous optimal control problems. We survey different numerical solution approaches… Expand
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Highly Cited
2011
Highly Cited
2011
Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control
This thesis aims at the investigation and development of fast numerical methods for nonlinear mixed--integer optimal control and… Expand
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2009
2009
Complementary Condensing for the Direct Multiple Shooting Method
In this contribution we address the efficient solution of optimal control problems of dynamic processes with many controls. Such… Expand
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2009
2009
Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems
Abstract — We devise an indirect multiple shooting (MS) method for PDE constrained optimization with a posteriorierror estimates… Expand
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Highly Cited
2009
Highly Cited
2009
Direct methods with maximal lower bound for mixed-integer optimal control problems
Many practical optimal control problems include discrete decisions. These may be either time-independent parameters or time… Expand
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Review
2005
Review
2005
Fast Direct Multiple Shooting Algorithms for Optimal Robot Control
In this overview paper, we first survey numerical approaches to solve nonlinear optimal control problems, and second, we present… Expand
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2001
2001
Trajectory Optimization Using A Combination of Direct Multiple Shooting and Collocation
In the framework of the software package GESOP (Graphical Environment for Simulation and Optimization), a new optimization method… Expand
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