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6560 руб.

Herman: Convergence Approximation & Differential Equations (cloth)
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4631 руб.

Stochastic differential equations driven by Levy processes are used as mathematical models for random dynamic phenomena in applications arising from fields such as finance and insurance, to capture continuous and discontinuous uncertainty. For many applications, a stochastic differential equation does not have a closed-form solution and the weak Euler approximation is applied. In such numerical treatment of stochastic differential equations, it is of theoretical and practical importance to estimate the rate of convergence of the discrete time approximation. In this book, it is systematically investigated the dependence of the rate of convergence on the regularity of the coefficients and driving processes. The model under consideration is of a more general form than existing ones, and hence is applicable to a broader range of processes, from the widely-studied diffusions and stochastic differential equations driven by spherically-symmetric stable processes to stochastic differential equations driven by more general Levy processes. These processes can be found in a variety of fields, including physics, engineering, economics, and finance.
Новинка

5576 руб.

This book deals with the development and the analysis of numerical methods for the resolution of first order nonlinear differential equations of Hamilton-Jacobi type on irregular data. These equations arises for example in the study of front propagation via the level set methods, the Shape-from-Shading problem and, in general, in Control theory. Our contribution to the numerical approximation of Hamilton-Jacobi equations consists in the proposal of some semiLagrangian schemes for different kind of discontinuous Hamiltonian and in an analysis of their convergence and a comparison of the results on some test problems. In particular we will approach with an eikonal equation with discontinuous coefficients in a well posed case of existence of Lipschitz continuous solutions. Furthermore, we propose a semiLagrangian scheme also for a Hamilton-Jacobi equation of a eikonal type on a ramified space, for example a graph. This is a not classical domain and only in last years there are developed a systematic theory about this. We present, also, some applications of our results on several problems arise from applied sciences.
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2800 руб.

Boyce & DiPrima?s, Elementary Differential Equations and Elementary Differential with Boundary Value Problems
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11053 руб.

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.
Новинка

7551 руб.

The aim of this book is to present new series approximation methods for solving linear and nonlinear differential equations which arising in applied Sciences. These procedures applied on fluid dynamics problems, population model equations, oscillator problems, fractional order equation, batch reactor equation and the Riccati's differential equations. It is interesting to note that these methods give the analytic and numerical results.
Новинка

4550 руб.

Problems in stochastic homogenization theory typically deal with approximating dierential operators with rapidly oscillatory random coefficients by operators with homogenized deterministic coefficients. Even though the convergence of these operators in multiple scales is well-studied in the existing literature in the form of a Law of Large Numbers, very little is known about their rate of convergence or their large deviations. This work establishes analytic results for the Gaussian correction in homogenization, and large deviation results for homogenization problems in random media. Several special cases are analyzed in detail.
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4933 руб.

Approximation & Weak Convergence Methods for Random Processes with Applications
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7466 руб.

The solutions of impulsive differential equations (IDEs) are often discontinuous and are not integrable in the ordinary sense of the word as most hypotheses in differential equations normally assumed.This peculiarity makes (IDEs) not easily accessible to most existing concepts and theorems in the differential equations. Therefore the existing concepts, theories in Differential Equations need to be strengthened or new ones developed before applying to (IDEs).This book will be useful to Students and practitioners in the field and in the industry working on problems with impulsive attributes such as modeling/computer simulation of stock price and petroleum pricing, disaster management,harvesting problem, biomedical problems,engineering and so on. We utilized several interesting techniques in nonlinear analysis such as topological degree, compact operators, monotone-iterative technique, measure of non-compact maps, inequalities on cone and applied them to some practical problems including, Numerical approximation of solutions of impulsive differential equations and measure differential equations.
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2581 руб.

Approximation & Weak Convergence Methods for Random Processes with Applications
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7466 руб.

In this work we are interested in standard and less standard structured linear systems coming from applications in various fields of computational mathematics and often modeled by integral and/or differential equations.Starting from classical Toeplitz and Circulant structures,we consider some extensions as g-Toeplitz and g-Circulants matrices appearing in several contexts in numerical analysis and applications.Then we consider special matrices arising from collocation methods for differential equations:also in this case, under suitable assumptions we observe a Toeplitz structure.More in detail we first propose a detailed study of singular values and eigenvalues of g-circulant matrices and then we provide an analysis of distribution of g-Toeplitz sequences.When possible,we consider Krylov space methods with special attention to the minimization of the computational work.In that case, crucial issues are the convergence speed of this iterative solver,the use of special techniques(preconditioning,multilevel techniques)for accelerating the convergence,and a careful study of the spectral properties of such matrices.We study the asymptotic behavior of spectral radii of collocation matrices
Новинка

7466 руб.

In chapter one, some new formulas for Caputo fractional derivatives of some elementary functions is given. The system of M-linear Voltera integro-fractional differential equations is reduced into a system of Voltera integral equations and the global and semi-global fundamental existence and uniquenas theorems and presented in Chapter two. In chapter three, some analytic and approximate methods are applied to treat such a system. In chapter four, Runge-Kutta methods with different orders are given to treat such a system. The convergence and stability are also investigated. In chapter five, special Chebyshev method is considered. In chapter six, conclusions and recommendations with comparisons between the methods are included.
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3098 руб.

Ordinary Differential Equations (OIP)
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Elementary Differential Equations and Boundary Value Problems
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13815 руб.

Differential Equations – A Modeling Perspective + Student Resource Manual Set
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Elementary Differential Equations and Boundary Value Problems
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Differential Equations Laboratory Workbook
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The approximation theory is a scope of mathematical analysis, which at its essence, is interested with the approximation of functions by simpler and more easily calculated functions. This theory has widely influenced such other areas of mathematics as orthogonal polynomials, partial differential equations, harmonic analysis, and wavelet analysis. Some modern applications include computer graphics, signal processing, economic forecasting, and pattern recognition.
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Elementary Differential Equations and Boundary Value Problems
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Differential Equations Student Solutions Manual
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Yoshida: Fushsian ?differential? Equations (pr Onl Y)
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WIE Differential Equations
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Elementary Differential Equations
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Differential Equations with Boundary Value Problems: An Introduction to Modern Methods & Applications, Second Edition International Student Version
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Calculus & Ordinary Differential Equations,
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Ordinary Differential Equations,
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Differential Equations
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Differential Equations
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Differential Equations
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Elementary Differential Equations
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Partial Differential Equations
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3039 руб.

Differential Equations
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Differential Equations
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Differential Equations
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Elementary Differential Equations
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6560 руб.

Differential Equations
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Elementary Differential Equations
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Elementary Differential Equations
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Differential Equations
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Differential Equations
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Elementary Differential Equations and Boundary Value Problems Sixth Edition and Student Solutions Manual to Accompany Elementary Differential Equations Sixth Edition and Elementary Differential Equations and Boundary Value Problems, Sixth Edition
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Introduction to Partial Differential Equations and Hilbert Space Methods
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3688 руб.

Student Solutions Manual t/a Differential Equations with Boundary Value Problems
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1650 руб.

Jain: Numerical Solution Of Differential Equations 2ed
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3393 руб.

General relativity is a physical theory which nowadays plays a key role in astrophysics and in physics and in this way it is important for a number of ambitious experiments and space missions. Einstein equations are central piece of general relativity. Einstein equations are expressed in terms of coupled system of highly nonlinear partial differential equations describing the matter content of space-time. The present work is to give an exposition of parts of the theory of partial differential equations that are needed in this subject and to represent exact solutions to Einstein equations. This book deals with various system of non linear partial differential equations corresponding to the Einstein equations for non diagonal Einstein-Rosen Metrics, Cylindrically Symmetric Null Fields, Vacuum Field Equations etc. from the view point of underlying symmetries and then to obtain their some new explicit exact solutions by using symmetry techniques like Lie symmetry analysis, symmetry reduction etc. These exact solutions play a significant for understanding of various phenomenons and are utilized for checking validity of numerical and approximation techniques and programs.
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3211 руб.

Student Solutions Manual to Accompany Elementary Differential Equations and Elemetary Differential Equations and Boundary Value Problems Sixth Edition by Haines
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6211 руб.

Student Resource Manual to accompany Differential Equations: A Modeling Perspective, 2nd Edition
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1126.54 руб.

The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
Новинка

4631 руб.

This work presents the Chebyshev spectral collocation method for solving higher-order boundary value problems based on ordinary differential equations. This method depends on using the higher-order pseudospectral differentiation matrices by using an explicit formula for higher-order derivatives of Chebyshev polynomials. Numerical examples of third-order, fourthorder,fifth-order, sixth-order, eighth-order, tenth-order and twelfth order boundary value problems are presented. Numerical experiments and comparisons with other methods are performed to demonstrate the high precision and efficiency of the proposed method. Differentiation matrices are employed to illustrate the proposed method.
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6133 руб.

An Introduction to Difference Equations, Differential Equations and Modeling give us an overview of studies in difference equations, differential equations with piecewise constant arguments and about some biological models. Here, they will see important relations between difference equations and differential equations with piecewise constant arguments, and biological events that are explained with mathematics. It is my hope that this work can be useful for students or researcher that are interested in Biomathematics.
Новинка

5171 руб.

This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introducesa model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that's clear and understandable to students at all levels.Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
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7204 руб.

This book gives a comprehensive introduction to some modern problems of stochastic differential equations and its applications. The content can be divided into four primary parts.1) Generalization of standard growth condition of the diffusion coefficient of Ito equations.2) Two parametric Ito formula and Stochastic Goursat problem, 3) Cauchy problem for linear and nonlinear stochastic equations of the parabolic type. 4) Applications. Latter part deals with: Stochastic boundary value problem of the hyperbolic type, Stochastic vibration of mechanical systems under high frequency external random forces, Stochastic Schrodinger Equations, and Elements of Derivatives pricing.
Новинка

7466 руб.

This book bring new solutions for various types of differential equations. Approximate analytic solution was obtained for system of differential equations specially that has chaotic behavior, delay differential equations, Schrodinger and coupled Schrodinger equation, fractional differential equations, differential algebraic equations and some other fluid mechanic models. Accurate and simple solution was presented via several modifications for homotopy analysis method.
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1025 руб.

Jain Numerical Solution Of Differential ?equations?
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5576 руб.

Ordinary differential equations are very essential for science and engineering students. In this book we present all types of first and second order ordinary differential equations and their solutions. Various examples that rendered the solutions understandable are given. Some applications of the ordinary differential equations in science and engineering are given. The book is written is a simple English language that will make it easy to be handled by all students.
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5683 руб.

Student Solutions Manual to accompany Boyce Elementary Differential Equations and Boundary Value Problems
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2180 руб.

This theory of particles is a new constructive approach, alternative to the string theory, where the particles are not points but 3-dimensional conservative distributions of matter with a finite volumes in each fixed time instance during their propagation. Thus, it avoids the infinitary problems of the inverse square low for gravitational and electric forces, and can be used as a basis for the Einstein's unification theory. It should be especially usefull to all students and professionals in quantum mechanics.
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6606 руб.

The importance of partial differential equations cannot be gainsaid. They are used in science and engineering. Many natural phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow etc occurring in science and engineering are described by partial differential equations. Partial differential equations often model mathematical systems where many variables exist. They are also used in statistics especially in the field of stochastic processes.
Новинка

4631 руб.

Nonlinear difference equations of order greater than one are of paramount importance in applications. Such equations appear naturally as a discrete analogues and as numerical solutions of differential equations and delay differential equations. They have models in various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our goal in this thesis is understanding the dynamics of nonlinear difference equations to construct the basic theory of this ?led. We believe that the results of this thesis are prototypes towards the development of the basic theory of the global behavior of solutions of nonlinear difference equations of order greater than one. Now we are going to give some examples for applications of difference equations.
Новинка

1070.19 руб.

Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Get the confidence and the skills you need to master differential equations! Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more! More than 100 Problems! Detailed, fully worked-out solutions to problems The inside scoop on first, second, and higher order differential equations A wealth of advanced techniques, including power series THE DUMMIES WORKBOOK WAY Quick, refresher explanations Step-by-step procedures Hands-on practice exercises Ample workspace to work out problems Online Cheat Sheet A dash of humor and fun In this work we are interested in standard and less standard structured linear systems coming from applications in various fields of computational mathematics and often modeled by integral and/or differential equations.Starting from classical Toeplitz and Circulant structures,we consider some extensions as g-Toeplitz and g-Circulants matrices appearing in several contexts in numerical analysis and applications.Then we consider special matrices arising from collocation methods for differential equations:also in this case, under suitable assumptions we observe a Toeplitz structure.More in detail we first propose a detailed study of singular values and eigenvalues of g-circulant matrices and then we provide an analysis of distribution of g-Toeplitz sequences.When possible,we consider Krylov space methods with special attention to the minimization of the computational work.In that case, crucial issues are the convergence speed of this iterative solver,the use of special techniques(preconditioning,multilevel techniques)for accelerating the convergence,and a careful study of the spectral properties of such matrices.We study the asymptotic behavior of spectral radii of collocation matrices