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Mit diesem Buch sollen Unterlagen bereitgestellt werden, die der Praktiker benotigt, um Op- timierungen fUr seine EntwUrfe unter Hinzuziehung von Experimenten durchzufUhren. Dazu sind experimentell Informationen von dem zu optimierenden Entwurf nach bestimmten PUmen zu gewinnen, die von Rechenmaschinen ausgewertet werden. Diese experimente-und rechnergestutzte Entwurfsoptimierung ist fUr viele technische Fachrichtungen anwendbar. Ihre StUtzung auf Experimente macht sie praxisnah. Die der Optimie...

This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.

This book presents several intelligent approaches for tackling and solving challenging practical problems facing those in the petroleum geosciences and petroleum industry. Written by experienced academics, this book offers state-of-the-art working examples and provides the reader with exposure to the latest developments in the field of intelligent methods applied to oil and gas research, exploration and production. It also analyzes the strengths and weaknesses of each method presented using benc...

This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains, and applications of PDE's to biology. The text differs from other texts in its brevity...

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis, in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that range from straightforward applications of formulas to more complex collections of prob...

"Data Assimilation" comprehensively covers both data assimilation and inverse methods, including both traditional state estimation and parameter estimation. This text and reference focuses on various popular data-assimilation methods, such as weak and strong constraint variational methods, ensemble filters and smoothers. How the different methods can be derived from a common theoretical basis is demonstrated, as well as how they differ and/or are related to each other, and which properties chara...

Practical LaTeX covers the material that is needed for everyday LaTeX documents. This accessible manual is friendly, easy to read, and is designed to be as portable as LaTeX itself.A short chapter, Mission Impossible, introduces LaTeX documents and presentations. Read these 30 pages; you then should be able to compose your own work in LaTeX. The remainder of the book delves deeper into the topics outlined in Mission Impossible while avoiding technical subjects. Chapters on presentations and ill...

The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals; these results apply to the so-called turnpike property of the optimal control problems. By encompassing the so-c...

Dieses vierfarbige Lehrbuch bietet in einem Band ein lebendiges Bild der gesamten Mathematik fur Anwender. Angehende Ingenieure und Naturwissenschaftler finden hier die wichtigen Konzepte und Begriffe ausfuhrlich und mit vielen Beispielen erklart. Im Mittelpunkt stehen das Verstandnis der Zusammenhange und die Beherrschung der Rechentechniken. Herausragende Merkmale sind: durchgangig vierfarbiges Layout mit mehr als 1500 Abbildungen"

The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick's law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this...

Le livre a pour but de prA(c)senter les fondements thA(c)oriques et mA(c)thodologiques de l'analyse numA(c)rique. Une attention toute particuliA]re est portA(c)e sur les concepts de stabilitA(c), prA(c)cision et complexitA(c) des algorithmes. Les mA(c)thodes modernes relatives aux thA]mes suivants sont prA(c)sentA(c)es et analysA(c)es en dA(c)tails: rA(c)solution des systA]mes linA(c)aires et non linA(c)aires, approximation polynAmiale, optimisation, intA(c)gration numA(c)rique, polynAme orthogo...

Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfangen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen fur die historische wie auch die disziplingeschichtliche Forschung zur Verfugung, die jeweils im historischen Kontext betrachtet werden mussen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-teste...

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfangen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen fur die historische wie auch die disziplingeschichtliche Forschung zur Verfugung, die jeweils im historischen Kontext betrachtet werden mussen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

This book is a detailed reference on Lie algebras and Lie superalgebras presented in the form of a dictionary. It is intended to be useful to mathematical and theoretical physicists, from the level of the graduate student upwards. The Dictionary will serve as the reference of choice for practitioners and students alike.

This textbook will present, in a rigorous way, the basic theory of the discrete-time and the continuous-time Markov chains, along with many examples and solved problems. For both the topics a simple model, the Random Walk and the Poisson Process respectively, will be used to anticipate and illustrate the most interesting concepts rigorously defined in the following sections. A great attention will be paid to the applications of the theory of the Markov chains and many classical as well as new re...

This book, first published in 2000, addresses problems in financial mathematics of pricing and hedging derivative securities in an environment of uncertain and changing market volatility. These problems are important to investors from large trading institutions to pension funds. It presents mathematical and statistical tools that exploit the bursty nature of market volatility. The mathematics is introduced through examples and illustrated with simulations and the modeling approach that is descri...