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Author :
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theoretical Analysis and Control Results for the FitzHugh-Nagumo Equation written by and published by . This book was released on 2005 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387968025
Total Pages : 498 pages
Book Rating : 4.9/5 (68 download)
Download or read book Nonlinear Functional Analysis and Its Applications written by E. Zeidler and published by Springer Science & Business Media. This book was released on 1989-12-11 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Author : Yves Coudière
Publisher : Springer
ISBN 13 : 3030219496
Total Pages : 447 pages
Book Rating : 4.0/5 (32 download)
Download or read book Functional Imaging and Modeling of the Heart written by Yves Coudière and published by Springer. This book was released on 2019-05-29 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Functional Imaging and Modeling of the Heart, held in Bordeaux, France, in June 2019. The 46 revised full papers were carefully reviewed and selected from 50 submissions. The focus of the papers is on following topics: Electrophysiology: mapping and biophysical modelling; Novel imaging tools and analysis methods for myocardial tissue characterization and remodeling; Biomechanics: modeling and tissue property measurements; Advanced cardiac image analysis tools for diagnostic and interventions.
Author : Jean-Michel Coron
Publisher : American Mathematical Soc.
ISBN 13 : 0821849182
Total Pages : 442 pages
Book Rating : 4.8/5 (218 download)
Download or read book Control and Nonlinearity written by Jean-Michel Coron and published by American Mathematical Soc.. This book was released on 2007 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.
Author :
Publisher : Elsevier
ISBN 13 : 0323853390
Total Pages : 596 pages
Book Rating : 4.3/5 (238 download)
Download or read book Numerical Control: Part A written by and published by Elsevier. This book was released on 2022-02-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Numerical Analysis series - Updated release includes the latest information on Numerical Control
Author : M. Loayza
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Heat Equation with Singular Nonlinearity and Singular Initial Data written by M. Loayza and published by . This book was released on 2005 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonardo Navarro Carvalho
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Classification of Automorphisms of Compact 3-manifolds written by Leonardo Navarro Carvalho and published by . This book was released on 2005 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francisco Ortegón Gallego
Publisher : Springer
ISBN 13 : 3319320130
Total Pages : 445 pages
Book Rating : 4.3/5 (193 download)
Download or read book Trends in Differential Equations and Applications written by Francisco Ortegón Gallego and published by Springer. This book was released on 2016-06-09 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current mathematical research related to different branches of applied mathematics. This includes the analysis of nonlinear partial differential equations, exact solutions techniques for ordinary differential equations, numerical analysis and numerical simulation of some models arising in experimental sciences and engineering, control and optimization, and also trending topics on numerical linear Algebra, dynamical systems, and applied mathematics for Industry. This volume is mainly addressed to any researcher interested in the applications of mathematics, especially in any subject mentioned above. It may be also useful to PhD students in applied mathematics, engineering or experimental sciences.
Author : C. Rocsoreanu
Publisher : Springer Science & Business Media
ISBN 13 : 9401595488
Total Pages : 245 pages
Book Rating : 4.4/5 (15 download)
Download or read book The FitzHugh-Nagumo Model written by C. Rocsoreanu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model.
Author : R. da Rocha
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential written by R. da Rocha and published by . This book was released on 2005 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Topological Spaces written by Mauro Patrão and published by . This book was released on 2005 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. Climent-Ezquerra
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Regular Time-reproductive Solutions for Generalized Boussinesq Model with Neumann Boundary Conditions for Temperature written by B. Climent-Ezquerra and published by . This book was released on 2005 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Fiber Bundles written by Mauro Patrão and published by . This book was released on 2005 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adilson J. V. Brandão
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonsmooth Continuous-time Optimization Problems Via Invexity written by Adilson J. V. Brandão and published by . This book was released on 2005 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boling Guo
Publisher : World Scientific
ISBN 13 : 9814667064
Total Pages : 347 pages
Book Rating : 4.8/5 (146 download)
Download or read book Fractional Partial Differential Equations And Their Numerical Solutions written by Boling Guo and published by World Scientific. This book was released on 2015-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear Schrödinger equations, fractional Landau-Lifshitz equations and fractional Ginzburg-Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.
Author : Michael Cross
Publisher : Cambridge University Press
ISBN 13 : 0521770505
Total Pages : 547 pages
Book Rating : 4.5/5 (217 download)
Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Author : Giuseppe Da Prato
Publisher : Cambridge University Press
ISBN 13 : 9780521777292
Total Pages : 206 pages
Book Rating : 4.7/5 (772 download)
Download or read book Second Order Partial Differential Equations in Hilbert Spaces written by Giuseppe Da Prato and published by Cambridge University Press. This book was released on 2002-07-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is then a discussion of how the results in the book can be applied to control theory. This area is developing very rapidly and there are numerous notes and references that point the reader to more specialised results not covered in the book. Coverage of some essential background material will help make the book self-contained and increase its appeal to those entering the subject.
