108,89 € *

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Erscheinungsdatum: 31.10.1996, Medium: Buch, Einband: Gebunden, Titel: Contrast-Enhanced Clinical Magnetic Resonance Imaging, Autor: Scott, Sarah, Redaktion: Rizzo, Betty // Runge, Val M., Verlag: The University Press of Kentucky, Sprache: Englisch, Schlagworte: TECHNOLOGY & ENGINEERING // Imaging Systems, Rubrik: Elektronik // Elektrotechnik, Nachrichtentechnik, Seiten: 194, Informationen: HC gerader Rücken kaschiert, Gewicht: 764 gr, Verkäufer: averdo

Anbieter: averdo

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26,49 € *

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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ab 26.49 € als Taschenbuch: Auflage 1989. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

Anbieter: hugendubel

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78,45 € *

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Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods.

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78,45 € *

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Anbieter: buecher

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53,45 € *

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This book addresses the task of computation from the standpoint of asymptotic analysis and multiple scales that may be inherent in the system dynamics being studied. This is in contrast to the usual methods of numerical analysis and computation. The technical literature is replete with numerical methods such as Runge-Kutta approach and its variations, finite element methods, and so on. However, not much attention has been given to asymptotic methods for computation, although such approaches have been widely applied with great success in the analysis of dynamic systems. The presence of different scales in a dynamic phenomenon enable us to make judicious use of them in developing computational approaches which are highly efficient. Many such applications have been developed in such areas as astrodynamics, fluid mechanics and so on. This book presents a novel approach to make use of the different time constants inherent in the system to develop rapid computational methods. First, the fundamental notions of asymptotic analysis are presented with classical examples. Next, the novel systematic and rigorous approaches of system decomposition and reduced order models are presented. Next, the technique of multiple scales is discussed. Finally application to rapid computation of several aerospace systems is discussed, demonstrating the high efficiency of such methods.

Anbieter: Dodax

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235,39 € *

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This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics.The book gives a comprehensive account of a variety of topics including - Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two point Boundary Value Problems, Advances on collocation based numerical methods for Ordinary Differential Equations and Volterra Integral Equations, Basic Methods for Computing Special Functions, Melt Spinning: Optimal Control and Stability Issues, Brief survey on the CP methods for the Schrödinger equation, Symplectic Partitioned Runge-Kutta methods for the numerical integration of periodic and oscillatory problems.Recent Advances in Computational and Applied Mathematics is aimed at advanced undergraduates and researchers who are working in these fast moving fields.

Anbieter: Dodax

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64,19 € *

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This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods.The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.

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39,90 € *

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This book is an attempt to present application of numerical methods in differential equations to undergraduate students, Masters as well as researchers. The chapter describes some basic methods and techniques for programming simulation of differential equations. First I have reviewed some basic concepts of numerical approximations and then Euler's methods. I have provided details on algorithm development using Euler's method. Also I have discussed error approximation and lastly I have used algorithms that an built into the MATLAB programming environment. All the programs could easily be implemented in any programming language such as C, Java. MATLAB is a convenient choice as it was designed for scientific computing and a variety of numerical operations.I have discussed First order systems, Discrete derivative, Euler's method, Evaluating error using Taylor series, programming and implementation by suitable examples. I have also discussed second order systems, Mass-spring, Implementation of Euler's method for second order systems with examples mid-point method. I have also introduced Runge-kutta method. This method is simply a higher order approximation to the mid-point methods.

Anbieter: Dodax

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54,90 € *

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This book is designed as an advanced guide for numerical methods in the science. It covers many topics of practical numerical methods applied in the science: solutions of equations with one variable: bisection, secant, false rule, Newton-Raphson, fixed point, etc., solution of systems of equations: Gauss, Gauss-Jordan, Cramer, Inverse Matrix, Jacobi, Gauss-Seidel, Gauss-Seidel with relaxation, etc., polynomial interpolation: Lagrange interpolation, Newton interpolation, interpolation with equidistant spaces, etc., the method of the least square method for a polynomial fit (regression analysis), etc., numerical derivatives, finite differential discretization of the derivative, numerical integrations: trapeze method, Simpson 1/3, Simpson 3/8, differential equations: Euler, Runge-Kutta, differential equations with boundary values, etc. It is included the deduction of many formulas in order to clear the concepts of the numerical methods applied in Science. It is hoped that this book fills all needs of the students to get the fundaments of the numerical methods and to achieve the interest and motivation of the students for this topic.

Anbieter: Dodax

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