**Author**: Forman S. Acton

**Publisher:**MAA

**ISBN:**9780883854501

**Category:**Mathematics

**Page:**549

**View:**1533

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# Search Results for: numerical-methods-that-work-spectrum

**Author**: Forman S. Acton

**Publisher:** MAA

**ISBN:** 9780883854501

**Category:** Mathematics

**Page:** 549

**View:** 1533

A commonsense approach to numerical algorithms for the solution of equations.
*Lausanne, September 25–27, 1991*

**Author**: Jan B. Vos,Prof. Dr. Arthur Rizzi,Inge L. Ryhming

**Publisher:** Springer-Verlag

**ISBN:** 3663139743

**Category:** Technology & Engineering

**Page:** 601

**View:** 8284

*Theory and Applications*

**Author**: David Gottlieb,Steven A. Orszag

**Publisher:** SIAM

**ISBN:** 9781611970425

**Category:** Differential equations

**Page:** 161

**View:** 483

A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.

**Author**: Alain Vincent

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821808139

**Category:** Science

**Page:** 199

**View:** 5242

After centuries of research, turbulence in fluids is still an unsolved problem. The graduate-level lectures in this volume cover the state of the art of numerical methods for fluid mechanics. The research in this collection covers wavelet-based methods, the semi-Lagrangian method, the Lagrangian multi-pole method, continuous adaptation of curvilinear grids, finite volume methods, shock-capturing methods, and ENO schemes. The most recent research on large eddy simulations and Reynolds stress modeling is presented in a way that is accessible to engineers, postdoctoral researchers, and graduate students. Applications cover industrial flows, aerodynamics, two-phase flows, astrophysical flows, and meteorology. This volume would be suitable as a textbook for graduate students with a background in fluid mechanics.

**Author**: Pieter Wesseling

**Publisher:** Springer-Verlag

**ISBN:** 3663139751

**Category:** Technology & Engineering

**Page:** 619

**View:** 1476

**Author**: Philipp Gubler

**Publisher:** Springer Science & Business Media

**ISBN:** 443154318X

**Category:** Science

**Page:** 190

**View:** 5815

The author develops a novel analysis method for QCD sum rules (QCDSR) by applying the maximum entropy method (MEM) to arrive at an analysis with less artificial assumptions than previously held. This is a first-time accomplishment in the field. In this thesis, a reformed MEM for QCDSR is formalized and is applied to the sum rules of several channels: the light-quark meson in the vector channel, the light-quark baryon channel with spin and isospin 1/2, and several quarkonium channels at both zero and finite temperatures. This novel technique of combining QCDSR with MEM is applied to the study of quarkonium in hot matter, which is an important probe of the quark-gluon plasma currently being created in heavy-ion collision experiments at RHIC and LHC.

**Author**: Karl F. Warnick

**Publisher:** Artech House

**ISBN:** 1596933348

**Category:** Electrical engineering

**Page:** 233

**View:** 6771

This unique volume is the first book on integral equation-based methods that combines quantitative formulas for predicting numerical simulation accuracy together with rigorous error estimates and results for dozens of actual electromagnetics and wave propagation problems. You get the latest insights on accuracy-improving methods like regularization and error-increasing effects such as edge singularities and resonance, along with full details on how to determine mesh density, choice of basis functions, and other parameters needed to optimize any numerical simulation.
*Solution of Equations in Rn (Part 4), Techniques of Scientific Computer (Part 4), Numerical Methods for Fluids*

**Author**: Philippe G. Ciarlet,Jacques-Louis Lions

**Publisher:** Gulf Professional Publishing

**ISBN:** 9780444509062

**Category:** Mathematics

**Page:** 650

**View:** 4951

This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing; optimization theory; and systems science. It will also cover the numerical solution of actual problems of contemporary interest in applied mathematics, under the following headings: numerical methods for fluids; numerical methods for solids; and specific applications - including meteorology, seismology, petroleum mechanics and celestial mechanics.
*Fluid and Structural Mechanics and Beyond*

**Author**: Călin-Ioan Gheorghiu

**Publisher:** Springer Science & Business

**ISBN:** 3319062301

**Category:** Mathematics

**Page:** 120

**View:** 8087

This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions. The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numerical ill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems. In addition, the book makes heavy use of the concept of pseudospectrum, which is highly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shear flows. This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The book can also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis.

**Author**: D. Mukherjee

**Publisher:** Springer Science & Business Media

**ISBN:** 1475792565

**Category:** Science

**Page:** 291

**View:** 2203

There has been a steady advance of the atomic and molecular many-body methodology over the last few years, with a concomitant development of versatile computer codes. Understanding and interpretation of electronic structural features and the associated spectroscopic properties via many-body techniques are becoming competitive with those obtained with the traditional formalisms. Since the many-body techniques are not yet a part of the repertoire of the "black-box tools" of electronic structure and spectroscopy, it seems worthwhile to take stock now of the recent progress in certain selected areas. The present volume is more in the nature of proceedings of a "Paper Symposium," rather than of one which actually took place. We did organize in Calcutta, between December 10 and 12, 1990, a small meeting on Applied Many-Body Methods to Spectroscopy and Electronic Structure, jointly organized by the Indian Association for the Cultivation of Science and the S.N. Bose National Centre for Basic Sciences. Several leading practitioners were invited, among which some could not come for various reasons.
*A.R. Mitchell 75th Birthday Volume*

**Author**: Andrew R. Mitchell,David Francis Griffiths,G. A. Watson

**Publisher:** World Scientific

**ISBN:** 9789810227197

**Category:** Nature

**Page:** 370

**View:** 4182

This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee. It consists of a collection of articles written by numerical analysts having links with Ron Mitchell, as colleagues, collaborators, former students, or as visitors to Dundee. Ron Mitchell is known for his books and articles contributing to the numerical analysis of partial differential equations; he has also made major contributions to the development of numerical analysis in the UK and abroad, and his many human qualitites are such that he is held in high regard and looked on with great affection by the numerical analysis community. The list of contributors is evidence of the esteem in which he is held, and of the way in which his influence has spread through his former students and fellow workers. In addition to contributions relevant to his own specialist subjects, there are also papers on a wide range of subjects in numerical analysis.
*Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Ispra (Varese), Italy, July 3-11, 1967*

**Author**: Jacques Louis Lions

**Publisher:** Springer Science & Business Media

**ISBN:** 9783642110573

**Category:** Mathematics

**Page:** 468

**View:** 9888

S. Albertoni: Alcuni metodi di calcolo nella teoria della diffusione dei neutroni.- I. Babuska: Optimization and numerical stability in computations.- J.H. Bramble: Error estimates in elliptic boundary value problems.- G. Capriz: The numerical approach to hydrodynamic problems.- A. Dou: Energy inequalities in an elastic cylinder.- T. Doupont: On the existence of an iterative method for the solution of elliptic difference equation with an improved work estimate.- J. Douglas, J.R. Cannon: The approximation of harmonic and parabolic functions of half-spaces from interior data.- B.E. Hubbard: Error estimates in the fixed Membrane problem.- K. Jorgens: Calculation of the spectrum of a Schrödinger operator.- A. Lasota: Contingent equations and boundary value problems.- J.L. Lions: Réduction à des problèmes du type Cauchy-Kowalewska.- J.L. Lions: Problèmes aux limites non homogènes à données irrégulières; une méthode d’approximation.- J.L. Lions: Remarques sur l’approximation régularisée de problèmes aux limites.- W.V. Petryshyn: On the approximation-solvability of nonlinear functional equations in normed linear spaces.- P.A. Raviart: Approximation des équations d’évolution par des méthodes variationnelles.- M. Sibony, H. Brezis: Méthodes d’approximation et d’itération pour les operateurs monotones.- V. Thomee: Some topics in stability theory for partial difference operators.
*A Comprehensive Introduction for Scientists and Engineers*

**Author**: George F. Pinder

**Publisher:** John Wiley & Sons

**ISBN:** 1119316383

**Category:** Technology & Engineering

**Page:** 320

**View:** 5165

A comprehensive guide to numerical methods for simulating physical-chemical systems This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of physical-chemical systems. Unlike most books on the subject, it focuses on methodology rather than specific applications. Written for students and professionals across an array of scientific and engineering disciplines and with varying levels of experience with applied mathematics, it provides comprehensive descriptions of numerical methods without requiring an advanced mathematical background. Based on its author’s more than forty years of experience teaching numerical methods to engineering students, Numerical Methods for Solving Partial Differential Equations presents the fundamentals of all of the commonly used numerical methods for solving differential equations at a level appropriate for advanced undergraduates and first-year graduate students in science and engineering. Throughout, elementary examples show how numerical methods are used to solve generic versions of equations that arise in many scientific and engineering disciplines. In writing it, the author took pains to ensure that no assumptions were made about the background discipline of the reader. Covers the spectrum of numerical methods that are used to simulate the behavior of physical-chemical systems that occur in science and engineering Written by a professor of engineering with more than forty years of experience teaching numerical methods to engineers Requires only elementary knowledge of differential equations and matrix algebra to master the material Designed to teach students to understand, appreciate and apply the basic mathematics and equations on which Mathcad and similar commercial software packages are based Comprehensive yet accessible to readers with limited mathematical knowledge, Numerical Methods for Solving Partial Differential Equations is an excellent text for advanced undergraduates and first-year graduate students in the sciences and engineering. It is also a valuable working reference for professionals in engineering, physics, chemistry, computer science, and applied mathematics.

**Author**: Dale W. Fitting,Laszlo Adler

**Publisher:** Plenum Publishing Corporation

**ISBN:** N.A

**Category:** Technology & Engineering

**Page:** 354

**View:** 2752

*A Publication of the Society of Industrial and Applied Mathematics*

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** Numerical analysis

**Page:** N.A

**View:** 793

**Author**: Victor S. Ryaben'kii,Semyon V. Tsynkov

**Publisher:** CRC Press

**ISBN:** 9781584886075

**Category:** Mathematics

**Page:** 552

**View:** 6395

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

**Author**: Weidong Guo,Gérard Labrosse,Ranga Narayanan

**Publisher:** Springer Science & Business Media

**ISBN:** 3642340881

**Category:** Science

**Page:** 229

**View:** 7725

Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.

**Author**: Robert Siegel

**Publisher:** CRC Press

**ISBN:** 9781560328391

**Category:** Technology & Engineering

**Page:** 864

**View:** 7543

This extensively revised 4th edition provides an up-to-date, comprehensive single source of information on the important subjects in engineering radiative heat transfer. It presents the subject in a progressive manner that is excellent for classroom use or self-study, and also provides an annotated reference to literature and research in the field. The foundations and methods for treating radiative heat transfer are developed in detail, and the methods are demonstrated and clarified by solving example problems. The examples are especially helpful for self-study. The treatment of spectral band properties of gases has been made current and the methods are described in detail and illustrated with examples. The combination of radiation with conduction and/or convection has been given more emphasis nad has been merged with results for radiation alone that serve as a limiting case; this increases practicality for energy transfer in translucent solids and fluids. A comprehensive catalog of configuration factors on the CD that is included with each book provides over 290 factors in algebraic or graphical form. Homework problems with answers are given in each chapter, and a detailed and carefully worked solution manual is available for instructors.
*A Predator-Prey Theory of Aquatic Production*

**Author**: S. R. Kerr,L. M. Dickie

**Publisher:** Columbia University Press

**ISBN:** 9780231507349

**Category:** Science

**Page:** 352

**View:** 8278

Kerr and Dickie propose the development of a new ecological theory, one that can lead to a more effective remedy for the drastic effects of heavy fishing on natural communities of organisms in both marine and freshwater environments. By plotting the densities of the biomass of all organisms in a given community by body-size classes, the authors provide empirical evidence of what they term "the biomass body-size spectrum" in the world's oceans. After examining this evidence, they propose an underlying theory of predator-prey energy transfer: larger species eat smaller species, providing energy exchange across all species within an ecosystem. Providing the first comprehensive synthesis of the energy flow within the biomass spectrum, this book demonstrates not only a new understanding of the self-organizing properties of ecological production systems but also the potential of the biomass spectrum methodology for offering practical remedies when these natural systems are exploited by humans.

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