optimal control of differential equations

Optimal Control of Differential Equations

ISBN: , SKU: , AUTHOR: Pavel, Nicolae H. / Pavel, Pavel H., PUBLISHER: CRC Press, "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques "

Differential Equations: A Modeling Perspective, Preliminary

ISBN: , SKU: , AUTHOR: Borrelli, Robert / Coleman, Courtney S., PUBLISHER: John Wiley & Sons, Reform Differential Equations book specifically targeted toward engineers and future engineers. It emphasizes modeling, nonlinearity, visualization, and the use of technology.

Handbook of Nonlinear Partial Differential Equations, Second

ISBN: , SKU: , AUTHOR: Polyanin, Andrei D. / Zaitsev, Valentin F. / Pol'ianin, A. D., PUBLISHER: CRC Press, Updated and expanded, this popular handbook provides a catalog of nonlinear PDEs and their solutions. With nearly 400 pages of new and updated material, this edition contains over 500 nonlinear PDEs with solutions and many new nonlinear systems of PDEs with solutions. In the first half of the book, numerous new and nonlinear systems of PDEs are described with a focus on equations containing one or more arbitrary parameters. The authors cover equations that arise in heat transfer, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear optics, theoretical physics, differential geometry, control theory, biology, and other fields. The second half of the book presents the exact methods used for solving these types of equations. The authors explore classical methods and some recent developments, along with examples that illustrate applications of the methods.

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis,

ISBN: , SKU: , AUTHOR: Hesthaven, Jan S. / Warburton, Tim, PUBLISHER: Springer, This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE's, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Maxwell's equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.

Controllability of Partial Differential Equations Governed

ISBN: , SKU: , AUTHOR: Alexander Y Khapalov, PUBLISHER: Springer, NA

Direct Methods in the Theory of Elliptic Equations

ISBN: , SKU: , AUTHOR: Necas, Jindrich / Tronel, Gerard / Kufner, Alois, PUBLISHER: Springer, Necas's famous book Direct methods in the theory of elliptic equations has become standard reference material on the mathematical theory of linear elliptic equations and systems, and also on the related function spaces framework. It provides a concise and self-contained introduction to the modern theory of partial differential equations, the theory of weak solutions and related topics. It is recommended to scientists working in the field of partial differential equations, postgraduate and graduate students, and applied mathematicians. The first chapter is devoted to directs methods, introduction to the Sobolev spaces, weak solution, Lax-Milgram theorem, Galerkin metods and spectral theory. The second chapter deals with the basic properties of Sobolev spaces (imbeddings, traces, compact imbeddings, fractional spaces).The third chapter contains existence and uniqueness theorems for problems, including the Fredholm alternative and systems of equations with variable coefficients. The next chapter describes regularity properties of weak solutions. Chapter 5 deals with applications of Rellich's inequality and Chapter 6 introduces the Sobolev spaces with weights. Finally the last chapter studies regularity of solutions and their dependence on coefficients and also on irregular domains.

Geometry and Nonlinear Partial Differential Equations

ISBN: , SKU: , AUTHOR: S T Yau Shuxing Chen, PUBLISHER: American Mathematical Society, NA

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis,

ISBN: , SKU: , AUTHOR: Hesthaven, Jan S. / Warburton, Tim, PUBLISHER: Springer, The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. All key theoretical results are either derived or discussed, including an overview of relevant results from approximation theory, convergence theory for numerical PDEa (TM)s, orthogonal polynomials etc. Through embedded Matlab codes, the algorithms are discussed and implemented for a number of classic systems of PDEa (TM)s, e.g., Maxwella (TM)s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. These developments are done in detail in one and two dimensions on general unstructured grids with high-order elements and all essential routines for 3D extensions are also included and discussed briefly. The three appendices contain an overview of orthogonal polynomials and associated library routines used throughout, a brief introduction to grid generation, and an overview of the associated software (where to get it, list of variables etc). A variety of exercises are included at the end of most chapters.

Advances in Differential Equations and Mathematical Physics

ISBN: , SKU: , AUTHOR: Gunter Stolz Rudi Weikard Yanni Zeng Yulia Karpeshina, PUBLISHER: American Mathematical Society, NA

Equations and Inequalities

ISBN: , SKU: , AUTHOR: Herman, Jiri / Herman, J. / Kucera, R., PUBLISHER: Springer, This book presents methods of solving problems in three areas of classical elementary mathematics: Equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are immediately followed by carefully worked out examples of increasing degrees of difficulty, and by exercises which range from routine to rather challenging problems. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills which are useful not only in the specific topics covered here. There are approximately 330 examples and 760 exercises.

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Monte Carlo Methods, Basics

ISBN: , SKU: , AUTHOR: Kalos, Malvin H. / Whitlock, Paula A., PUBLISHER: Wiley-VCH Verlag GmbH, This introduction to Monte Carlo Methods seeks to identify and study the unifying elements that underlie their effective application. It focuses on two basic themes. The first is the importance of random walks as they occur both in natural stochastic systems and in their relationship to integral and differential equations. The second theme is that of variance reduction in general and importance sampling in particular as a technique for efficient use of the methods. Random walks are introduced with an elementary example in which the modelling of radiation transport arises directly from a schematic probabilistic description of the interaction of radiation with matter. Building on that example, the relationship between random walks and integral equations is outlined. The applicability of these ideas to other problems is shown by a clear and elementary introduction to the solution of the Schrodinger equation by random walks. The detailed discussion of variance reduction includes Monte Carlo evaluation of finite-dimensional integrals. Special attention is given to importance sampling, partly because of its intrinsic interest in quadrature, partly because of its general usefulness in the solution of integral equations. One significant feature is that Monte Carlo Methods treats the "Metropolis algorithm" in the context of sampling methods, clearly distinguishing it from importance sampling. Physicists, chemists, statisticians, mathematicians, and computer scientists will find Monte Carlo Methods a complete and stimulating introduction.

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Quantum-Classical Correspondence: Dynamical Quantization and

ISBN: , SKU: , AUTHOR: Bolitschek, Josef, PUBLISHER: Springer, At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entree to an intriguing and thorny issue at the core of modern physics.

Quantum Mechanics and Gravity

ISBN: , SKU: , AUTHOR: Sachs, Mendel, PUBLISHER: Springer, This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.

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Multidimensional Integral Equations and Inequalities

ISBN: , SKU: , AUTHOR: Pachpatte, B. G., PUBLISHER: Atlantis Press, Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

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A European Central Bank?: Perspectives on Monetary

ISBN: , SKU: , AUTHOR: De Cecco, Marcello, PUBLISHER: Cambridge University Press, Based on a conference held by the Italian Macroeconomic Policy Group and the Centre for Economic Policy Research, this study examines the issues raised by European monetary unification. An introduction describes recent developments and identifies the motivations for creating a European central bank. Theoretical papers analyze the interactions of capital controls, financial intermediation, and seigniorage in open economies, the optimal design of centralized banks of issue by sovereign countries, and some new aspects of the "optimal currency area" question. The volume concludes with a panel discussion on the feasibility of European monetary unification, featuring leading academics and central bankers.

Elements of the Differential and Integral Calculus With

ISBN: , SKU: , AUTHOR: William James, PUBLISHER: BiblioLife LLC, NA

ASCIUGAMANI Vortice Optimal

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ASCIUGAMANI Vortice Optimal

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Differential Diagnosis in Internal Medicine

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Approximation and Optimization of Discrete and Differential

ISBN: , SKU: , AUTHOR: Elimhan N Mahmudov, PUBLISHER: Elsevier, NA

The Pullback Equation for Differential Forms

ISBN: , SKU: , AUTHOR: Csat, Gyula / Dacorogna, Bernard / Kneuss, Olivier, PUBLISHER: Birkhauser Boston, An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map so that it satisfies the pullback equation: *(g) = f. In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 k n 1. The present monograph provides the first comprehensive study of the equation. The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge Morrey decomposition and to give several versions of the Poincar lemma. The core of the book discusses the case k = n, and then the case 1 k n 1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses H lder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on H lder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation. The Pullback Equation for Differential Forms is a self-contained and concise monograph intended for both geometers and analysts. The book may serve as a valuable reference for researchers or a supplemental text for graduate courses or seminars.

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