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ISBN: 9781402088391 9781402088384 1402088388 Year: 2009 Publisher: New York: Springer,
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This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework. Furthermore, new structure-exploiting discrete concepts and large scale, practically relevant applications are presented. The main focus is on the algorithmical and numerical treatment of pde constrained optimization problems on the infinite dimensional level. A particular emphasis is on simple constraints, such as pointwise bounds on controls and states. For these practically important situations, tailored Newton- and SQP-type solution algorithms are proposed and a general convergence framework is developed. This is complemented with the numerical analysis of structure-preserving Galerkin schemes for optimization problems with elliptic and parabolic equations. Finally, along with the optimization of semiconductor devices and the optimization of glass cooling processes, two challenging applications of pde constrained optimization are presented. They demonstrate the scope of this emerging research field for future engineering applications.
kansrekening --- Numerical methods of optimisation --- numerieke analyse --- optimalisatie --- 519.8 --- 681.3*G16 --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.8 Operational research --- Operational research
Book
ISBN: 3030999823 3030999831 Year: 2022 Publisher: Cham, Switzerland : Springer,
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Mathematical models. --- Mathematical optimization --- Models, Mathematical --- Simulation methods --- Models matemàtics --- Optimització matemàtica --- Mètodes de simulació --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Programació (Matemàtica) --- Anàlisi de sistemes --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics
Book
ISBN: 9789048180035 Year: 2009 Publisher: Dordrecht Springer
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Multi
ISBN: 9783030999834 9783030999827 9783030999841 9783030999858 Year: 2022 Publisher: Cham Springer International Publishing
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This book presents recent research work that is focused on mathematical solution strategies in the important areas of "Prognostic MR Thermometry for Thermal Ablation of Liver Tumours" and "Energy-efficient High Temperature Processes via Shape Optimization". It is addressed to people who are interested in modern mathematical solutions for real-life applications. In particular, mathematical modelling, simulation and optimization are currently successfully used in various fields of application, such as the energy or health sector. Here, mathematics is often the driving force for new innovations and is most relevant for the success of many interdisciplinary projects. The presented chapters demonstrate the power of this emerging research field and show how society can benefit from applied mathematics.
Mathematical analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- Hygiene. Public health. Protection --- Human medicine --- Computer. Automation --- analyse (wiskunde) --- toegepaste wiskunde --- automatisering --- geneeskunde --- gezondheidszorg --- informatica --- wiskunde
Book
ISBN: 9783030999834 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer
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Models matemàtics --- Optimització matemàtica --- Mètodes de simulació --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Programació (Matemàtica) --- Anàlisi de sistemes --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Mathematical models. --- Mathematical optimization --- Models, Mathematical --- Simulation methods
Digital
ISBN: 9781402088391 9781402088384 Year: 2009 Publisher: Dordrecht Springer Netherlands
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Numerical methods of optimisation --- kansrekening --- numerieke analyse --- optimalisatie
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