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Record Nr. |
UNINA9910300113203321 |
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Autore |
Bonnard Bernard |
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Titolo |
Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / / by Bernard Bonnard, Monique Chyba, Jérémy Rouot |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (XV, 108 p. 47 illus., 40 illus. in color.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Calculus of variations |
Neurosciences |
Applied mathematics |
Engineering mathematics |
Mathematical models |
Bioinformatics |
Computational biology |
Calculus of Variations and Optimal Control; Optimization |
Applications of Mathematics |
Mathematical Modeling and Industrial Mathematics |
Computer Appl. in Life Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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