Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems
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Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems
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Author : Robert Hermann
language : en
Publisher: Math-Sci Press
Release Date : 1994
Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by Math-Sci Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1973
Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematical physics categories.
Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1973
Interdisciplinary Mathematics Lie Theoretic Ode Numerical Analysis Mechanics And Differential Systems written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematical physics categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1995
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Geometric Computing Science
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1991
Geometric Computing Science written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Simulating Hamiltonian Dynamics
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Author : Benedict Leimkuhler
language : en
Publisher: Cambridge University Press
Release Date : 2004
Simulating Hamiltonian Dynamics written by Benedict Leimkuhler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject.
Numerical Data Fitting In Dynamical Systems
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Author : Klaus Schittkowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-05
Numerical Data Fitting In Dynamical Systems written by Klaus Schittkowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.
Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain the behaviour of systems, or to optimize design and production. As soon as a mathematical model contains differential dependencies from an additional parameter, typically the time, we call it a dynamical model. There are two key questions always arising in a practical environment: 1 Is the mathematical model correct? 2 How can I quantify model parameters that cannot be measured directly? In principle, both questions are easily answered as soon as some experimental data are available. The idea is to compare measured data with predicted model function values and to minimize the differences over the whole parameter space. We have to reject a model if we are unable to find a reasonably accurate fit. To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.
Interdisciplinarity
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Author : Julie Thompson Klein
language : en
Publisher: Wayne State University Press
Release Date : 1990
Interdisciplinarity written by Julie Thompson Klein and has been published by Wayne State University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Education categories.
In this volume, Julie Klein provides the first comprehensive study of the modern concept of interdisciplinarity, supplementing her discussion with the most complete bibliography yet compiled on the subject. In this volume, Julie Klein provides the first comprehensive study of the modern concept of interdisciplinarity, supplementing her discussion with the most complete bibliography yet compiled on the subject. Spanning the social sciences, natural sciences, humanities, and professions, her study is a synthesis of existing scholarship on interdisciplinary research, education and health care. Klein argues that any interdisciplinary activity embodies a complex network of historical, social, psychological, political, economic, philosophical, and intellectual factors. Whether the context is a short-ranged instrumentality or a long-range reconceptualization of the way we know and learn, the concept of interdisciplinarity is an important means of solving problems and answering questions that cannot be satisfactorily addressed using singular methods or approaches.
Subject Guide To Books In Print
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Author :
language : en
Publisher:
Release Date : 1996
Subject Guide To Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with American literature categories.
Mathematical Analysis In Interdisciplinary Research
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Author : Ioannis N. Parasidis
language : en
Publisher: Springer Nature
Release Date : 2022-03-10
Mathematical Analysis In Interdisciplinary Research written by Ioannis N. Parasidis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-10 with Mathematics categories.
This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems, variational inequalities and general equilibrium models, anisotropic elasticity and harmonic functions, nonlinear stochastic differential equations, operator equations, max-product operators of Kantorovich type, perturbations of operators, integral operators, dynamical systems involving maximal monotone operators, the three-body problem, deceptive systems, hyperbolic equations, strongly generalized preinvex functions, Dirichlet characters, probability distribution functions, applied statistics, integral inequalities, generalized convexity, global hyperbolicity of spacetimes, Douglas-Rachford methods, fixed point problems, the general Rodrigues problem, Banach algebras, affine group, Gibbs semigroup, relator spaces, sparse data representation, Meier-Keeler sequential contractions, hybrid contractions, and polynomial equations. Some of the works published within this volume provide as well guidelines for further research and proposals for new directions and open problems.