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Refinar búsquedaConstrained Optimization and Optimal Control for Partial Differential Equations / SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan (2012)
Título : Constrained Optimization and Optimal Control for Partial Differential Equations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan Editorial: Basel : Springer Basel Fecha de publicación: 2012 Colección: International Series of Numerical Mathematics num. 160 Número de páginas: XII, 624 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0133-1 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Computer mathematics Mathematical optimization Differential Equations Optimization Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization Nota de contenido: Introduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications En línea: http://dx.doi.org/10.1007/978-3-0348-0133-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32856 Constrained Optimization and Optimal Control for Partial Differential Equations [documento electrónico] / SpringerLink (Online service) ; Leugering, Günter ; Engell, Sebastian ; Griewank, Andreas ; Hinze, Michael ; Rannacher, Rolf ; Schulz, Volker ; Ulbrich, Michael ; Ulbrich, Stefan . - Basel : Springer Basel, 2012 . - XII, 624 p : online resource. - (International Series of Numerical Mathematics; 160) .
ISBN : 978-3-0348-0133-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Computer mathematics Mathematical optimization Differential Equations Optimization Computational and Numerical Analysis Clasificación: 51 Matemáticas Resumen: This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization Nota de contenido: Introduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications En línea: http://dx.doi.org/10.1007/978-3-0348-0133-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32856 Ejemplares
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Título : Control and Optimization with PDE Constraints Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Bredies, Kristian ; Clason, Christian ; Kunisch, Karl ; Winckel, Gregory von Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: International Series of Numerical Mathematics num. 164 Número de páginas: X, 215 p. 43 illus., 29 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0631-2 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Computer mathematics Numerical analysis Calculus of variations Variations and Optimal Control; Optimization Differential Equations Computational Analysis Clasificación: 51 Matemáticas Resumen: Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful Nota de contenido: Preface -- An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations (A. Alla and M. Falcone) -- Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton) -- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives (S. Beckers and M. Yamamoto) -- Nonsmooth Optimization Method and Sparsity (K. Ito) -- Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M -- K. Riahi and J. Solomon) -- Hamilton–Jacobi–Bellman Equations on Multi-Domains (Z. Rao and H. Zidani) -- Gradient Computation for Model Calibration with Pointwise Observations (E. W. Sachs and M. Schu) -- Numerical Analysis of POD A-Posteriori Error Estimation for Optimal Control (A. Studinger and S. Volkwein) -- Cubature on C1 Space (G. Turinici) -- A Globalized Newton Method for the Optimal Control of Fermionic Systems (G. von Winckel) -- A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains (W. Wollner) En línea: http://dx.doi.org/10.1007/978-3-0348-0631-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32443 Control and Optimization with PDE Constraints [documento electrónico] / SpringerLink (Online service) ; Bredies, Kristian ; Clason, Christian ; Kunisch, Karl ; Winckel, Gregory von . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - X, 215 p. 43 illus., 29 illus. in color : online resource. - (International Series of Numerical Mathematics; 164) .
ISBN : 978-3-0348-0631-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Computer mathematics Numerical analysis Calculus of variations Variations and Optimal Control; Optimization Differential Equations Computational Analysis Clasificación: 51 Matemáticas Resumen: Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful Nota de contenido: Preface -- An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations (A. Alla and M. Falcone) -- Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton) -- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives (S. Beckers and M. Yamamoto) -- Nonsmooth Optimization Method and Sparsity (K. Ito) -- Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M -- K. Riahi and J. Solomon) -- Hamilton–Jacobi–Bellman Equations on Multi-Domains (Z. Rao and H. Zidani) -- Gradient Computation for Model Calibration with Pointwise Observations (E. W. Sachs and M. Schu) -- Numerical Analysis of POD A-Posteriori Error Estimation for Optimal Control (A. Studinger and S. Volkwein) -- Cubature on C1 Space (G. Turinici) -- A Globalized Newton Method for the Optimal Control of Fermionic Systems (G. von Winckel) -- A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains (W. Wollner) En línea: http://dx.doi.org/10.1007/978-3-0348-0631-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32443 Ejemplares
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Título : Evolution Equations Arising in the Modelling of Life Sciences Tipo de documento: documento electrónico Autores: Efendiev, Messoud ; SpringerLink (Online service) Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: International Series of Numerical Mathematics num. 163 Número de páginas: XII, 217 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0615-2 Idioma : Inglés (eng) Palabras clave: Mathematics Systems biology Ecology Partial differential equations Biomathematics Mathematical and Computational Biology Physiological, Cellular Medical Topics Differential Equations Theoretical Ecology/Statistics Clasificación: 51 Matemáticas Resumen: This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically Nota de contenido: Preface -- 1 Auxiliary Materials -- 2 Global attractors for autonomous evolution equations -- 3 Verifying life science models containing diffusion, transport and interaction of species -- 4 Positivity criterion for systems of stochastic PDEs -- Existence and longtime behaviour of a biofilm model -- 6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0615-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32441 Evolution Equations Arising in the Modelling of Life Sciences [documento electrónico] / Efendiev, Messoud ; SpringerLink (Online service) . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XII, 217 p : online resource. - (International Series of Numerical Mathematics; 163) .
ISBN : 978-3-0348-0615-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Systems biology Ecology Partial differential equations Biomathematics Mathematical and Computational Biology Physiological, Cellular Medical Topics Differential Equations Theoretical Ecology/Statistics Clasificación: 51 Matemáticas Resumen: This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically Nota de contenido: Preface -- 1 Auxiliary Materials -- 2 Global attractors for autonomous evolution equations -- 3 Verifying life science models containing diffusion, transport and interaction of species -- 4 Positivity criterion for systems of stochastic PDEs -- Existence and longtime behaviour of a biofilm model -- 6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0615-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32441 Ejemplares
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Título : Exact and Truncated Difference Schemes for Boundary Value ODEs Tipo de documento: documento electrónico Autores: Gavrilyuk, Ivan ; SpringerLink (Online service) ; Hermann, Martin ; Makarov, Volodymyr ; Kutniv, Myroslav V Editorial: Basel : Springer Basel Fecha de publicación: 2011 Colección: International Series of Numerical Mathematics num. 159 Número de páginas: XII, 248 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0107-2 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs Nota de contenido: Preface -- 1 Introduction and a short historical overview -- 2 2-point difference schemes for systems of ODEs -- 3 3-point difference schemes for scalar monotone ODEs -- 4 3-point difference schemes for systems of monotone ODEs -- 5 Difference schemes for BVPs on the half-axis -- 6 Exercises and solutions -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0107-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33263 Exact and Truncated Difference Schemes for Boundary Value ODEs [documento electrónico] / Gavrilyuk, Ivan ; SpringerLink (Online service) ; Hermann, Martin ; Makarov, Volodymyr ; Kutniv, Myroslav V . - Basel : Springer Basel, 2011 . - XII, 248 p : online resource. - (International Series of Numerical Mathematics; 159) .
ISBN : 978-3-0348-0107-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs Nota de contenido: Preface -- 1 Introduction and a short historical overview -- 2 2-point difference schemes for systems of ODEs -- 3 3-point difference schemes for scalar monotone ODEs -- 4 3-point difference schemes for systems of monotone ODEs -- 5 Difference schemes for BVPs on the half-axis -- 6 Exercises and solutions -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0107-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33263 Ejemplares
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Título : Inequalities and Applications 2010 : Dedicated to the Memory of Wolfgang Walter Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Catherine Bandle ; Gilányi, Attila ; Losonczi, László ; Plum, Michael Editorial: Basel : Springer Basel Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: International Series of Numerical Mathematics num. 161 Número de páginas: LXX, 274 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0249-9 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Analysis Ordinary Equations Clasificación: 51 Matemáticas Resumen: Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area. Nota de contenido: Preface -- In Memoriam Wolfgang Walter (1927–2010) -- Conference on Inequalities and Applications '10 -- Boundary Value Problems -- Numerical Methods -- Geometric and Norm Inequalities -- Generalized Convexity -- Convexity and Related Inequalities -- Other Equations and Inequalities En línea: http://dx.doi.org/10.1007/978-3-0348-0249-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32868 Inequalities and Applications 2010 : Dedicated to the Memory of Wolfgang Walter [documento electrónico] / SpringerLink (Online service) ; Catherine Bandle ; Gilányi, Attila ; Losonczi, László ; Plum, Michael . - Basel : Springer Basel : Imprint: Birkhäuser, 2012 . - LXX, 274 p : online resource. - (International Series of Numerical Mathematics; 161) .
ISBN : 978-3-0348-0249-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Analysis Ordinary Equations Clasificación: 51 Matemáticas Resumen: Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area. Nota de contenido: Preface -- In Memoriam Wolfgang Walter (1927–2010) -- Conference on Inequalities and Applications '10 -- Boundary Value Problems -- Numerical Methods -- Geometric and Norm Inequalities -- Generalized Convexity -- Convexity and Related Inequalities -- Other Equations and Inequalities En línea: http://dx.doi.org/10.1007/978-3-0348-0249-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32868 Ejemplares
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