{"title":"Alfio Borzì","description":null,"products":[{"product_id":"modelling-with-ordinary-differential-equations-book-alfio-borz-9781032336671","title":"Modelling with Ordinary Differential Equations","description":"Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models.","brand":"WoB","offers":[{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50541489651985,"sku":"GOR013990926","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50554890092817,"sku":"GOR013992833","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51295545360657,"sku":"NIN9781032336671","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":51941197250833,"sku":"GOR014469930","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52350016651537,"sku":"NLS9781032336671","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1032336676.jpg?v=1793731124"},{"product_id":"modelling-with-ordinary-differential-equations-book-alfio-borz-9780815392613","title":"Modelling with Ordinary Differential Equations","description":"Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51195914682641,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51195917074705,"sku":"NIN9780815392613","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52522347495697,"sku":"NLS9780815392613","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0815392613.jpg?v=1793739938"},{"product_id":"sequential-quadratic-hamiltonian-method-book-alfio-borz-9780367715526","title":"The Sequential Quadratic Hamiltonian Method","description":"\u003cp\u003eThe sequential quadratic hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models. It is based on the characterisation of optimal controls in the framework of the Pontryagin maximum principle (PMP).\u003cbr\u003e\u003cbr\u003eThe SQH method is a powerful computational methodology that is capable of development in many directions. \u003cb\u003e\u003ci\u003eThe Sequential Quadratic Hamiltonian Method: Solving Optimal Control Problems\u003c\/i\u003e\u003c\/b\u003e discusses its analysis and use in solving nonsmooth ODE control problems, relaxed ODE control problems, stochastic control problems, mixed-integer control problems, PDE control problems, inverse PDE problems, differential Nash game problems, and problems related to residual neural networks.\u003c\/p\u003e\u003cp\u003eThis book may serve as a textbook for undergraduate and graduate students, and as an introduction for researchers in sciences and engineering who intend to further develop the SQH method or wish to use it as a numerical tool for solving challenging optimal control problems and for investigating the Pontryagin maximum principle on new optimisation problems.\u003c\/p\u003e\u003cp\u003eFeatures\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cul\u003e\u003c\/ul\u003e \u003c\/li\u003e\n\u003cli\u003eProvides insight into mathematical and computational issues concerning optimal control problems, while discussing many differential models of interest in different disciplines.\u003c\/li\u003e\n\u003cli\u003eSuitable for undergraduate and graduate students and as an introduction for researchers in sciences and engineering.\u003c\/li\u003e\n\u003cli\u003eAccompanied by codes which allow the reader to apply the SQH method to solve many different optimal control and optimisation problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cul\u003e\u003c\/ul\u003e \u003c\/li\u003e\n\u003c\/ul\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52521478455569,"sku":"NLS9780367715526","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780367715526.jpg?v=1786107554"},{"product_id":"modelling-with-ordinary-differential-equations-book-alfio-borz-9781032894249","title":"Modelling with Ordinary Differential Equations","description":"\u003cp\u003e“Alfio Borzì's \u003ci\u003eModelling with Ordinary Differential Equations\u003c\/i\u003e is a remarkably comprehensive text that succeeds in something rare: it covers the classical foundations of ODE theory with precision and rigour, while consistently opening windows to advanced and genuinely original applications that are hard to find in comparable textbooks”\u003c\/p\u003e\u003cp\u003e\u003cb\u003e—Professor Volker Schulz, Universität Trier\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\"Expertly written, organized and presented, \u003ci\u003eModelling with Ordinary Differential Equations: A Comprehensive Approach\u003c\/i\u003e is an ideal textbook for college and university Numerical Analysis \u0026amp; Scientific Computing curriculums. [. . . ] unreservedly recommended as a critically important addition to academic library collections\"\u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003e—Midwest Book Review\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003eModelling with Ordinary Differential Equations: A Comprehensive Approach\u003c\/i\u003e\u003c\/b\u003e aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games.\u003c\/p\u003e\u003cp\u003eThe book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eNew to the Second Edition:\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eThis second edition has been thoroughly revised, reorganised, and expanded with new material across most chapters. The theoretical foundations are strengthened by additional results on existence and uniqueness, Lipschitz conditions, blow-up phenomena, and Green functions, as well as new sections on compartment models and Hamiltonian systems. A major addition is a new chapter on mechanics, ranging from classical to relativistic and quantum frameworks. The numerical analysis part now includes the Verlet method, while stability theory has been extended to cover chaos and synchronization.\u003c\/p\u003e\u003cp\u003eOptimal control is treated in greater depth, with new material on the HJB equation, controllability, and free-horizon problems. Further additions include evolutionary differential games and enhanced inverse problem examples.The chapter on neural networks has been also expanded, introducing residual networks, and reservoir computing for dynamical systems.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":67599480258833,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":67599480455441,"sku":"NGR9781032894249","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781032894249.jpg?v=1790728696"},{"product_id":"modelling-with-ordinary-differential-equations-book-alfio-borz-9781032897646","title":"Modelling with Ordinary Differential Equations","description":"\u003cp\u003e“Alfio Borzì's \u003ci\u003eModelling with Ordinary Differential Equations\u003c\/i\u003e is a remarkably comprehensive text that succeeds in something rare: it covers the classical foundations of ODE theory with precision and rigour, while consistently opening windows to advanced and genuinely original applications that are hard to find in comparable textbooks”\u003c\/p\u003e\u003cp\u003e\u003cb\u003e—Professor Volker Schulz, Universität Trier\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\"Expertly written, organized and presented, \u003ci\u003eModelling with Ordinary Differential Equations: A Comprehensive Approach\u003c\/i\u003e is an ideal textbook for college and university Numerical Analysis \u0026amp; Scientific Computing curriculums. [. . . ] unreservedly recommended as a critically important addition to academic library collections\"\u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003e—Midwest Book Review\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003eModelling with Ordinary Differential Equations: A Comprehensive Approach\u003c\/i\u003e\u003c\/b\u003e aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. 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