On the Partial Difference Equations of Mathematical Physics Being a Translation of Über Die Partiellen Differenzengleichungen Der Mathematischen Physik PDF Download
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Author: Richard Courant
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 100
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Author: Richard Courant
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 100
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Book Description
Author: Richard J. Howarth
Publisher: Springer
ISBN: 3319573152
Category : Science
Languages : en
Pages : 892
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Book Description
This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.
Author: Radu Balan
Publisher: Birkhäuser
ISBN: 331913230X
Category : Mathematics
Languages : en
Pages : 344
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Book Description
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include · spectral analysis and correlation; · radar and communications: design, theory, and applications; · sparsity · special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Author: Glenn S. Smith
Publisher: Cambridge University Press
ISBN: 9780521586986
Category : Science
Languages : en
Pages : 682
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Book Description
This book provides a thorough description of classical electromagnetic radiation, starting from Maxwell's equations, and moving on to show how fundamental concepts are applied in a wide variety of examples from areas such as classical optics, antenna analysis, and electromagnetic scattering. Throughout, the author interweaves theoretical and experimental results to help give insight into the physical and historical foundations of the subject. A key feature of the book is that pulsed and time-harmonic signals are presented on an equal footing. Mathematical and physical explanations are enhanced by a wealth of illustrations (over 300), and the book includes more than 140 problems. It can be used as a textbook for advanced undergraduate and graduate courses in electrical engineering and physics, and will also be of interest to scientists and engineers working in applied electromagnetics. A solutions manual is available on request for lecturers adopting the text.
Author: Srinivasa Lingireddy
Publisher: KYPipe LLC
ISBN: 1737275309
Category : Technology & Engineering
Languages : en
Pages : 331
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Book Description
The book describes the causes and effects of transient (water hammer) events in liquid-filled pipes, and describes how the powerful and stable Wave Plan Method (WPM) can be used to address transients during surge modeling. The authors compare and contrast WPM with the Method of Characteristics (MOC), which is the other widely-used surge analysis tool. While MOC can be useful for many situations, the larger and more complex a model becomes, the more the computational efficiency of WPM is necessary to avoid longer and longer analysis times. The authors also describe how WPM is more generalizable than MOC, which is a term that describes a suite of tools consisting of several variants that were developed to address different modeling situations. This book provides details on surge modeling in general and the use of WPM in particular. This includes pressure attenuation, determination of wave speeds in different pipe types and various liquid media, pump and turbine characteristics curves, and the effects of boundary conditions. The discussion of boundary conditions includes an extensive look at the effects of the air-water interface as it applies to bulk air intrusion into pipelines, and as it relates to the use of air/vacuum valves as surge protection. The authors discuss surge protection design for different real-world scenarios, and how to model of a full list of surge control devices, including a detailed discussion of check valves. Last, the book describes the assumptions and uncertainties encountered during data collection and model building, and examines the potential effect of these uncertainties. Where uncertainties cannot be mitigated, the authors discuss ways to increase the safety factor of surge protection designs.
Author: Jiri Blazek
Publisher: Butterworth-Heinemann
ISBN: 0128011726
Category : Science
Languages : en
Pages : 466
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Book Description
Computational Fluid Dynamics: Principles and Applications, Third Edition presents students, engineers, and scientists with all they need to gain a solid understanding of the numerical methods and principles underlying modern computation techniques in fluid dynamics. By providing complete coverage of the essential knowledge required in order to write codes or understand commercial codes, the book gives the reader an overview of fundamentals and solution strategies in the early chapters before moving on to cover the details of different solution techniques. This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and parallelization. An accompanying companion website contains the sources of 1-D and 2-D Euler and Navier-Stokes flow solvers (structured and unstructured) and grid generators, along with tools for Von Neumann stability analysis of 1-D model equations and examples of various parallelization techniques. - Will provide you with the knowledge required to develop and understand modern flow simulation codes - Features new worked programming examples and expanded coverage of incompressible flows, implicit Runge-Kutta methods and code parallelization, among other topics - Includes accompanying companion website that contains the sources of 1-D and 2-D flow solvers as well as grid generators and examples of parallelization techniques
Author: D. Sloan
Publisher: Elsevier
ISBN: 0080929567
Category : Mathematics
Languages : en
Pages : 480
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Book Description
/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering, and by the rapid development of computer hardware and architecture. At the more theoretical end, the analytical insight into the underlying stability and accuracy properties of computational algorithms for PDEs was deepened by building upon recent progress in mathematical analysis and in the theory of PDEs. To embark on a comprehensive review of the field of numerical analysis of partial differential equations within a single volume of this journal would have been an impossible task. Indeed, the 16 contributions included here, by some of the foremost world authorities in the subject, represent only a small sample of the major developments. We hope that these articles will, nevertheless, provide the reader with a stimulating glimpse into this diverse, exciting and important field. The opening paper by Thomée reviews the history of numerical analysis of PDEs, starting with the 1928 paper by Courant, Friedrichs and Lewy on the solution of problems of mathematical physics by means of finite differences. This excellent survey takes the reader through the development of finite differences for elliptic problems from the 1930s, and the intense study of finite differences for general initial value problems during the 1950s and 1960s. The formulation of the concept of stability is explored in the Lax equivalence theorem and the Kreiss matrix lemmas. Reference is made to the introduction of the finite element method by structural engineers, and a description is given of the subsequent development and mathematical analysis of the finite element method with piecewise polynomial approximating functions. The penultimate section of Thomée's survey deals with `other classes of approximation methods', and this covers methods such as collocation methods, spectral methods, finite volume methods and boundary integral methods. The final section is devoted to numerical linear algebra for elliptic problems. The next three papers, by Bialecki and Fairweather, Hesthaven and Gottlieb and Dahmen, describe, respectively, spline collocation methods, spectral methods and wavelet methods. The work by Bialecki and Fairweather is a comprehensive overview of orthogonal spline collocation from its first appearance to the latest mathematical developments and applications. The emphasis throughout is on problems in two space dimensions. The paper by Hesthaven and Gottlieb presents a review of Fourier and Chebyshev pseudospectral methods for the solution of hyperbolic PDEs. Particular emphasis is placed on the treatment of boundaries, stability of time discretisations, treatment of non-smooth solutions and multidomain techniques. The paper gives a clear view of the advances that have been made over the last decade in solving hyperbolic problems by means of spectral methods, but it shows that many critical issues remain open. The paper by Dahmen reviews the recent rapid growth in the use of wavelet methods for PDEs. The author focuses on the use of adaptivity, where significant successes have recently been achieved. He describes the potential weaknesses of wavelet methods as well as the perceived strengths, thus giving a balanced view that should encourage the study of wavelet methods.
Author: Baha Abulnaga
Publisher: McGraw Hill Professional
ISBN: 1260452808
Category : Technology & Engineering
Languages : en
Pages : 958
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Book Description
A complete guide to slurries and slurry systems―fully updated for the latest advances This thoroughly revised guide contains start-to-finish coverage of slurry systems—from fundamentals and fluid mechanics to pump design and materials selection. Written by a recognized expert in the field, Slurry Systems Handbook, Second Edition clearly explains the components, dynamics, and design of slurry systems for many applications, including mineral processing, nuclear waste processing, extra heavy oil upgrade, mineral concentrate transport, tailings systems and metal melting. You will get real-world examples, solved problems, and current codes as well as guidelines for conducting feasibility studies and hands-on operating procedures. Coverage includes: General concepts of slurry flows Multi-species and stratified heterogeneous flows Non-Newtonian slurry flows Open channel and cascade slurry flows Slurry Hammer and Transients in closed and open channels Centrifugal and positive displacement slurry pumps Long distance slurry pipelines by commodity such as coal, copper, phosphate or gold Oil sand extraction Slurry reactors, hydrocracking and heat transfer Hydrocarbon and hydrate-based slurry pipelines Semi-solid metals casting Tailings systems, paste backfilling Slurry flows for nuclear waste processing De-silting hydroelectric reservoirs
Author: Paul A. Martin
Publisher:
ISBN:
Category :
Languages : en
Pages : 128
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 592
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Book Description
