Differential equations: a problem solving appoach based on matlab, Shankar, P. Mohana

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 54820.00 T
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Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Автор: Hairer Ernst, Wanner Gerhard
Название: Solving Ordinary Differential Equations II / Stiff and Differential-Algebraic Problems
ISBN: 3540604529 ISBN-13(EAN): 9783540604525
Издательство: Springer
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Цена: 149060.00 T
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Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.

Автор: Donatella Danielli, Nicola Garofalo, Arshak Petrosyan, Tung To
Название: Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem
ISBN: 1470425475 ISBN-13(EAN): 9781470425470
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Offers a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren`s monotonicity of the frequency. This includes the proof of the optimal regularity of solutions, classification of free boundary points, the regularity of the regular set and the structure of the singular set.

Автор: Volkov
Название: Revival: Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings (1994)
ISBN: 113855779X ISBN-13(EAN): 9781138557796
Издательство: Taylor&Francis
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Цена: 53070.00 T
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Описание: This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon.

Автор: Kythe, Prem K.
Название: Partial differential equations and boundary value problems with Mathematica /
ISBN: 1584883146 ISBN-13(EAN): 9781584883142
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

Автор: Inna Shingareva; Carlos Liz?rraga-Celaya
Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 3709117216 ISBN-13(EAN): 9783709117217
Издательство: Springer
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Цена: 102480.00 T
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Описание: This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches.

Автор: T. Alazard, N. Burq, C. Zuily
Название: Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations
ISBN: 147043203X ISBN-13(EAN): 9781470432034
Издательство: Mare Nostrum (Eurospan)
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Цена: 80390.00 T
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Описание: Devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. For two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to $L^2$.

Автор: Ramm Alexander G.
Название: Symmetry Problems. the Navier-Stokes Problem.
ISBN: 1681735059 ISBN-13(EAN): 9781681735054
Издательство: Mare Nostrum (Eurospan)
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Цена: 41580.00 T
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Описание: This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these is the problem of ""invisible obstacles."" In Chapter 5, it provides a solution to the Navier‒Stokes problem in ℝ³. The author proves that this problem has a unique global solution if the data are smooth and decaying sufficiently fast. A new a priori estimate of the solution to the Navier‒Stokes problem is also included. Finally, it delivers a solution to inverse problem of the potential theory without the standard assumptions about star-shapeness of the homogeneous bodies.

Автор: Shingareva
Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 3709105161 ISBN-13(EAN): 9783709105160
Издательство: Springer
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Цена: 102480.00 T
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Описание: starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.