204,10 zł

Solutions Manual to Accompany Beginning Partial Differential Equations 3e John Wiley & Sons Inc

Książki / Literatura obcojęzyczna

Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications, such as Poe's pendulum and Kepler's problem in astronomy, this third edition is updated to include the latest version of Maples, which is integrated throughout the text. New topical coverage includes novel applications, such as Poe's pendulum and Kepler's problem in astronomy.

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390,32 zł

Partial Differential Equations in Fluid Dynamics Cambridge University Press

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This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.

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635,14 zł

Progress in Differential-Algebraic Equations Springer-Verlag Berlin and Heidelberg GmbH & Co....

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This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the point of view of both theory and practice.

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673,42 zł

Finite Difference Methods in Financial Engineering - A Partial Differential Equation Approach John Wiley & Sons Inc

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The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few.In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature:* Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options* Early exercise features and approximation using front-fixing, penalty and variational methods* Modelling stochastic volatility models using Splitting methods* Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work* Modelling jumps using Partial Integro Differential Equations (PIDE)* Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.

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1119,32 zł

Applications of Group-Theoretical Methods in Hydrodynamics Springer

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This book presents applications of group analysis of differential equations to various models used in hydrodynamics. It contains many new examples of exact solutions to the boundary value problems for the Euler and Navier-Stokes equations. These solutions describe vortex structures in an inviscid fluid, Marangoni boundary layers, thermal gravity convection and other interesting effects. Moreover, the book provides a new method for finding solutions of nonlinear partial differential equations, which is illustrated by a number of examples, including equations for flows of a compressible ideal fluid in two and three dimensions. The work is reasonably self-contained and supplemented by examples of direct physical importance. Audience: This volume will be of interest to postgraduate students and researchers whose work involves partial differential equations, Lie groups, the mathematics of fluids, mathematical physics or fluid mechanics.

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664,27 zł

Advanced Finite Element Methods with Applications Springer Nature Switzerland AG

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Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

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982,34 zł

Numerical Methods for Engineering Applications 2e John Wiley & Sons Inc

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State-of-the-art numerical methods for solving complex engineering problems Great strides in computer technology have been made in the years since the popular first edition of this book was published. Several excellent software packages now help engineers solve complex problems. Making the most of these programs requires a working knowledge of the numerical methods on which the programs are based. Numerical Methods for Engineering Application provides that knowledge. While it avoids intense mathematical detail, Numerical Methods for Engineering Application supplies more in-depth explanations of methods than found in the typical engineer's numerical "cookbook." It offers complete coverage of most commonly encountered algebraic, interpolation, and integration problems. Ordinary differential equations are examined in great detail, as are three common types of partial differential equations--parabolic, elliptic, and hyperbolic. The author also explores a wide range of methods for solving initial and boundary value problems.This complete guide to numerical methods for solving engineering problems on computers provides: Practical advice on how to select the best method for a given problem Valuable insights into how each method works and why it is the best choice Complete algorithms and source code for all programs covered Code from the book and problem-solving programs designed by the author available from the author's website Numerical Methods for Engineering Application is a valuable working resource for engineers and applied physicists. It also serves as an excellent upper-level text for physics and engineering students in courses on modern numerical methods.

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563,27 zł

Operator Theoretical Methods and Applications to Mathematical Physics Springer Basel

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This volume is devoted to the memory of the applied mathematician Erhard Meister (1930-2001). It is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to Erhard Meister. It covers various fields of mathematical physics and its theoretical background such as partial differential equations, singular integral and pseudodifferential equations as well as topics from operator theory and complex analysis. Altogether fifty colleagues, friends and family members contributed to honour E. Meister as a researcher and promoter of science and succeeded in drawing a real picture of his life and work.§

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563,27 zł

Analytic Methods in Interdisciplinary Applications Springer International Publishing AG

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The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.§

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659,99 zł

Iterative Methods And Their Dynamics With Applications

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equationsKsi...

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Sklep: Gigant.pl

349,52 zł

Advanced Mathematical Methods for Scientists and Engineers I Springer, Berlin

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A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research.§Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables.§The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions.

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285,10 zł

Differential and Integral Inequalities, 1 Springer, Berlin

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In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.

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101,39 zł

Mathematical Methods in Physics and Engineering Dover Publications Inc.

Książki / Literatura obcojęzyczna

PrefaceCHAPTER 1. Linear Algebra1.1 Linear Equations. Summation Convention1.2 Matrices1.3 Determinants1.4 Systems of Linear Algebraic Equations. Rank of a Matrix1.5 Vector Spaces1.6 Scalar Product1.7 Orthonormal Basis. Linear Transformations1.8 Quadratic Forms. Hermitian Forms1.9 Systems of Ordinary Differential Equations. Vibration Problems1.10 Linear ProgrammingCHAPTER 2. Hilbert Spaces2.1 Infinite-dimensional Vector Spaces. Function Spaces2.2 Fourier Series2.3 Separable Hilbert Spaces2.4 The Projection Theorem2.5 Linear Functionals2.6 Weak Convergence2.7 Linear Operators2.8 Completely Continuous OperatorsCHAPTER 3. Calculus of Variations3.1 Maxima and Minima of Functions. Lagrange Multipliers3.2 Maxima and Minima of Functionals. Euler's Equation3.3 Hamilton's Principle. Lagrange's Equations3.4 Theory of Small Vibrations3.5 The Vibrating String3.6 Boundary-value Problems of Mathematical Physics3.7 Eigenvalues and Eigenfunctions3.8 Eigenfunction Expansions3.9 Upper and Lower Bounds for EigenvaluesCHAPTER 4. Boundary-value Problems. Separation of Variables4.1 Orthogonal Coordinate Systems. Separation of Variables4.2 Sturm-Liouville Problems4.3 Series Solutions of Ordinary Differential Equations4.4 Series Solutions of Boundary-value ProblemsCHAPTER 5. Boundary-value Problems. Green's Functions5.1 Nonhomogeneous Boundary-value Problems5.2 One-dimensional Green's Functions5.3 Generalized Functions5.4 Green's Functions in Higher Dimensions5.5 Problems in Unbounded Regions5.6 A Problem in Diffraction TheoryCHAPTER 6. Integral Equations6.1 Integral-equation Formulation of Boundary-value Problems6.2 Hilbert-Schmidt Theory6.3 Fredholm Theory6.4 Integral Equations of the First KindCHAPTER 7. Analytic Function Theory7.1 Introduction7.2 Analytic Functions7.3 Elementary Functions7.4 Complex Integration7.5 Integral Representations7.6 Sequences and Series7.7 Series Representations of Analytic Functions7.8 Contour Integration7.9 Conformal Mapping7.10 Potential TheoryCHAPTER 8. Integral Transform Methods8.1 Fourier Transforms8.2 Applications of Fourier Transforms. Ordinary Differential Equations8.3 Applications of Fourier Transforms. Partial Differential Equations8.4 Applications of Fourier Transforms. Integral Equations8.5 Laplace Transforms. Applications8.6 Other Transform TechniquesIndex

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679,95 zł

Finite Element Methods Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.

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1035,81 zł

Finite Element Methods Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.

Sklep: Libristo.pl

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