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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
ISBN: 9783662067093 / Angielski / Miękka / 602 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough...
Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations ...
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Nonlinear Differential Equation Models
ISBN: 9783709172087 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The papers in this book originate from lectures which were held at the Vienna Workshop on Nonlinear Models and Analysis - May 20-24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
The papers in this book originate from lectures which were held at the Vienna Workshop on Nonlinear Models and Analysis - May 20-24, 2002. They repres...
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Phase Portraits of Control Dynamical Systems
ISBN: 9789401054379 / Angielski / Miękka / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alIe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alIe.' human race. It has put common sens...
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Numerical Solution of Ordinary Differential Equations
ISBN: 9789401079075 / Angielski / Miękka / 250 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computing methods for scientists and engineers. It was stated that most computation is performed by workers whose mathematical training stopped somewhere short of the 'professional' level, and that some books are therefore needed which use quite simple mathematics but which nevertheless communicate the essence of the 'numerical sense' which is exhibited by the real computing experts and which is surely needed, at least to some extent, by all who use modern computers and modern numerical software. In...
Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computing methods for scientists and engineers. It was sta...
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Partial Differential Equations and Functional Analysis: In Memory of Pierre Grisvard
ISBN: 9781461275367 / Angielski / Miękka / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. A Conference was held in November 1994 out of which grew the invited articles contained in this volume. All of the papers are related to functional analysis applied to partial differential equations, which was Grisvard's specialty. Indeed his knowledge of this area was extremely broad. He began his career as one of the very first students of Jacques Louis Lions, and in 1965, he presented his "State Thesis" on interpolation spaces, using in particular, spectral theory for linear operators in Banach...
Pierre Grisvard, one of the most distinguished French mathematicians, died on April 22, 1994. A Conference was held in November 1994 out of which grew...
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Complexes of Differential Operators
ISBN: 9789401041447 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of...
This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occ...
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The Mellin Transformation and Fuchsian Type Partial Differential Equations
ISBN: 9789401050692 / Angielski / Miękka / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Et moi, .. Of si j'avail su comment en revenir. je One selVice mathematics has rendered the n'y semis point alll!.' human race. It has put common sense back Jules Verne when: it belongs, on the topmon shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with iL O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari- ties abound, Similarly. all kinds of parts of mathematics serve as tools for other parts and for other sci- ences, Applying a...
'Et moi, .. Of si j'avail su comment en revenir. je One selVice mathematics has rendered the n'y semis point alll!.' human race. It has put common sen...
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Microlocal Analysis and Spectral Theory
ISBN: 9789401063715 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The NATO Advanced Study Institute "Microlocal Analysis and Spectral The ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco," from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely,...
The NATO Advanced Study Institute "Microlocal Analysis and Spectral The ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of ...
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Mathematical Modelling of Heat and Mass Transfer Processes
ISBN: 9789401041836 / Angielski / Miękka / 323 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in 1987, was almost completely revised, essentially up-dated, and shows our present understanding of the problems considered. The new results, obtained...
In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing ...
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Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
ISBN: 9789401047975 / Angielski / Miękka / 331 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions.
The book has five chapters: Chapter I deals with linear... This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properti...
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Partial Differential Equations in China
ISBN: 9789401045247 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world.
The goal of this collection of papers is to summarize and introduce the historical progress of the development of PDEs in China from the 1950s to the 1980s. The results presented here were mainly published before the 1980s, but, having been printed in the Chinese language, have not reached the wider audience they deserve. Topics covered include, among others, nonlinear... In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians f...
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Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients
ISBN: 9789401052108 / Angielski / Miękka / 280 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.
The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A... Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equ...
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Geometric and Algebraic Structures in Differential Equations
ISBN: 9789401065658 / Angielski / Miękka / 349 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Backlund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability.
Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the... The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Backlund. It obtained a new impulse in the...
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A First Course in Ordinary Differential Equations: Analytical and Numerical Methods
ISBN: 9788132218340 / Angielski / Twarda / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format-the theorem-and-proof format-the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs-with a special focus on the Laplace transform,... This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the... |
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Microstructured Materials: Inverse Problems
ISBN: 9783642270925 / Angielski / Miękka / 162 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse... Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destruct... |
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Second Order Differential Equations: Special Functions and Their Classification
ISBN: 9781493901777 / Angielski / Miękka / 219 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focuses on the systematic treatment and classification of these solutions. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an... Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order l... |
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Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
ISBN: 9788132218944 / Angielski / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowflies model, and some models with Allee effects. Many interesting sufficient conditions are given for the dynamics that include nonlinear...
This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It ...
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Multiscale Modeling of Pedestrian Dynamics
ISBN: 9783319066196 / Angielski / Twarda / 262 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures...
This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, wh...
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Asymptotic Distribution of Eigenvalues of Differential Operators
ISBN: 9789401073561 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the 'Et moi, ..., si j'avait su comment en revenir, je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
One service mathematics has rendered the 'Et moi, ..., si j'avait su comment en revenir, je n'y serais point alle.' human race. It has put common sens...
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201,24 |
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Global Bifurcation Theory and Hilbert's Sixteenth Problem
ISBN: 9781461348191 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna tional Congress of Mathematicians in Paris. The talk covered practically all directions of mathematical thought of that time and contained a list of 23 problems which determined the further development of mathema tics in many respects (1, 119]. Hilbert's Sixteenth Problem (the second part) was stated as follows: Problem. To find the maximum number and to determine the relative position of limit cycles of the equation dy Qn(X, y) -= dx Pn(x, y)' where Pn and...
On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna tional Congres...
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