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180802 ||| eng |
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|a 9783319947914
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| 100 |
1 |
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|a Bonnard, Bernard
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| 245 |
0 |
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|a Geometric and Numerical Optimal Control
|h Elektronische Ressource
|b Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging
|c by Bernard Bonnard, Monique Chyba, Jérémy Rouot
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| 250 |
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|a 1st ed. 2018
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2018, 2018
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| 300 |
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|a XV, 108 p. 47 illus., 40 illus. in color
|b online resource
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| 505 |
0 |
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|a 1 Historical part - Calculus of variations -- 2 Weak Maximum Principle and Application to Swimming at low Reynolds Number -- 3 Maximum Principle and Application to NMR and MRI -- 4 Conclusion
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| 653 |
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|a Neuroscience
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| 653 |
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|a Bioinformatics
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| 653 |
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|a Neurosciences
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| 653 |
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|a Computational and Systems Biology
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Mathematical Modeling and Industrial Mathematics
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Mathematics
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Calculus of variations
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| 653 |
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|a Mathematical models
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| 700 |
1 |
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|a Chyba, Monique
|e [author]
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| 700 |
1 |
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|a Rouot, Jérémy
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a SpringerBriefs in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-3-319-94791-4
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-94791-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.64
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| 082 |
0 |
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|a 519.6
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| 520 |
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|a This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use – the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control
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