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Adaptive Multilevel Solution of Nonlinear Parabolic Pde Systems: Theory, Algorithm, and Applications
ISBN: 9783540679004 / Angielski / Twarda / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nowadays there is an increasing emphasis on all aspects of adaptively gener ating a grid that evolves with the solution of a PDE. Another challenge is to develop efficient higher-order one-step integration methods which can handle very stiff equations and which allow us to accommodate a spatial grid in each time step without any specific difficulties. In this monograph a combination of both error-controlled grid refinement and one-step methods of Rosenbrock-type is presented. It is my intention to impart the beauty and complexity found in the theoretical investigation of the adaptive...
Nowadays there is an increasing emphasis on all aspects of adaptively gener ating a grid that evolves with the solution of a PDE. Another challenge is...
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401,58 zł |
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Partial Differential Equations: An Introduction with Matematica and Maple
ISBN: 9789810238919 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a self-contained introduction to partial differential equations. It is designed for undergraduate and first-year graduate students who are mathematics, physics, engineering or, in general, science majors. The goal is to give an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered. The material is illustrated with model examples. Mathematics software products...
This is a self-contained introduction to partial differential equations. It is designed for undergraduate and first-year graduate students who are mat...
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cena:
149,67 zł |
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Fourier Series and Pdes
ISBN: 9780470617960 / Angielski / Twarda / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book...
The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences ...
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cena:
487,38 zł |
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Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions
ISBN: 9780817641733 / Angielski / Twarda / 314 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by analyzing special so-called self-similar solutions. We are in particular interested in equations describing various phenomena such as the Navier- Stokesequations.Therescalingmethod describedherecanalsobeinterpreted as a renormalization group method, which represents a strong tool in the asymptotic analysis of solutions of nonlinear partial di?erential...
The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear par...
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361,42 zł |
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An Introduction to Maximum Principles and Symmetry in Elliptic Problems
ISBN: 9780521172783 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then,...
This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum princ...
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339,24 zł |
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Three Courses on Partial Differential Equations
ISBN: 9783110179583 / Angielski / Miękka / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topics in partial differential equations stemming from the applications for students and researchers with a basic background in this subject. Michel Chipot investigates equilibrium positions of several disks rolling on a wire. In particular, he discusses existence and uniqueness of, and the exact position for an equilibrium. Josselin Garnier...
Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding ...
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cena:
296,54 zł |
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Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains
ISBN: 9783034605366 / Angielski / Twarda / 642 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid... The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostat... |
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609,79 zł |
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Partial Differential Equations
ISBN: 9781441923806 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook is intended for students who wish to obtain an introduction to the theory of partial di?erential equations (PDEs, for short), in particular, those of elliptic type. Thus, it does not o?er a comprehensive overview of the whole ?eld of PDEs, but tries to lead the reader to the most important methods and central results in the case of elliptic PDEs. The guiding qu- tion is how one can ?nd a solution of such a PDE. Such a solution will, of course, depend on given constraints and, in turn, if the constraints are of the appropriate type, be uniquely determined by them. We shall pursue...
This textbook is intended for students who wish to obtain an introduction to the theory of partial di?erential equations (PDEs, for short), in particu...
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240,93 zł |
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Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course
ISBN: 9781441936431 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book concerns the practical solution of Partial Differential Equations. We assume the reader knows what a PDE is - that he or she has derived some, and solved them with the limited but powerful arsenal of analytic techniques. We also assume that (s)he has gained some intuitive knowledge of their solution properties, either in the context of specific applications, or in the more abstract context of applied mathematics. We assume the reader now wants to solve PDE's for real, in the context of practical problems with all of their warts - awkward geometry, driven by real data, variable...
This book concerns the practical solution of Partial Differential Equations. We assume the reader knows what a PDE is - that he or she has derived som...
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cena:
200,77 zł |
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Methods for Constructing Exact Solutions of Partial Differential Equations: Mathematical and Analytical Techniques with Applications to Engineering
ISBN: 9781441937698 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.
Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact...
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883,53 zł |
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Matrix-Based Multigrid: Theory and Applications
ISBN: 9781441943217 / Angielski / Miękka / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems. This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and... Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the di... |
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200,77 zł |
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Algorithms for Elliptic Problems: Efficient Sequential and Parallel Solvers
ISBN: 9789048141906 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Et moi, ..., si j'avait su comment. One service mathematics has ren- en revenir, je n'y serais point alle'. dered the human race. It has put common sense back where it be- Jules Verne longs, on the topmost shelf next to the dusty canister labelIed 'discard- The series is divergent; therefore we ed nonsense'. may be able to do something with Eric T. Bell it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying...
'Et moi, ..., si j'avait su comment. One service mathematics has ren- en revenir, je n'y serais point alle'. dered the human race. It has put common s...
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cena:
401,58 zł |
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Degenerate Elliptic Equations
ISBN: 9789048142828 / Angielski / Miękka / 431 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2m(X, ) = L aa(x) a lal=2m of the operator A is invertible on G X ( n 0); A is called elliptic on G, too. This definition works for systems of equations, for classical pseudo differential operators ("pdo), and for operators on a manifold n. Let us recall some facts concerning elliptic operators. 1 If n is closed, then for any s E, is Fredholm and the following a priori estimate holds (2) 1 2 Introduction If m > 0 and A: C=(O; C') -] L (0; C') is...
0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2...
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cena:
401,58 zł |
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Differential Equations with Discontinuous Righthand Sides: Control Systems
ISBN: 9789048184491 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't s...
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cena:
602,40 zł |
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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes
ISBN: 9781849969468 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ? u = Au, 2 't 2 where u = u(x, t) is a vector-valued function, x is a point in a domain inR or 3 R, and A is a linear elliptic di?erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci?c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial...
Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of e...
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cena:
200,77 zł |
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Numerical Bifurcation Analysis for Reaction-Diffusion Equations
ISBN: 9783642086694 / Angielski / Miękka / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Reaction-diffusion equations are typical mathematical models in biology, chemistry and physics. These equations often depend on various parame- ters, e. g. temperature, catalyst and diffusion rate, etc. Moreover, they form normally a nonlinear dissipative system, coupled by reaction among differ- ent substances. The number and stability of solutions of a reaction-diffusion system may change abruptly with variation of the control parameters. Cor- respondingly we see formation of patterns in the system, for example, an onset of convection and waves in the chemical reactions. This kind of phe-...
Reaction-diffusion equations are typical mathematical models in biology, chemistry and physics. These equations often depend on various parame- ters, ...
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cena:
401,58 zł |
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Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations
ISBN: 9783642080999 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the first part of this EMS volume Yu.V. Egorov gives an account of microlocal analysis as a tool for investigating partial differential equations. This method has become increasingly important in the theory of Hamiltonian systems. Egorov discusses the evolution of singularities of a partial differential equation and covers topics like integral curves of Hamiltonian systems, pseudodifferential equations and canonical transformations, subelliptic operators and Poisson brackets. The second survey written by V.Ya. Ivrii treats linear hyperbolic equations and systems. The author states...
In the first part of this EMS volume Yu.V. Egorov gives an account of microlocal analysis as a tool for investigating partial differential equations. ...
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cena:
401,58 zł |
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Nonlinear Elliptic and Parabolic Equations of the Second Order
ISBN: 9781402003349 / Angielski / Miękka / 462 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Approach your problems from the It isn't that they can't see the right end and begin with the solution. It is that they can't see answers. Then one day, perhaps the problem. you will find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from the It isn't that they can't see the right end and begin with the solution. It is that they can't see answers. Then one da...
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cena:
682,72 zł |
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The Mellin Transformation and Fuchsian Type Partial Differential Equations
ISBN: 9780792316831 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a systematic introduction to the theory of the multidimensional Mellin transformation in a distributional setting. In contrast to the classical texts on the Mellin and Laplace transformations, this work concentrates on the local properties of the Mellin transformations, ie on those properties of the Mellin transforms of distributions u which are preserved under multiplication of u by cut-off functions (of various types). The main part of the book is devoted to the local study of regularity of solutions to linear Fuchsian partial differential operators on a corner, which...
This volume provides a systematic introduction to the theory of the multidimensional Mellin transformation in a distributional setting. In contrast to...
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cena:
406,20 zł |
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
ISBN: 9780792320548 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems.
Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equ...
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cena:
406,20 zł |
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