Single Perturbation Problems In Chemical Physics

Author : John J. H. Miller
Publisher : John Wiley & Sons
Page : 390 pages
File Size : 48,7 Mb
Release : 2009-09-09
Category : Science
ISBN : 9780470142097

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Single Perturbation Problems in Chemical Physics by John J. H. Miller Pdf

The Matching Method for Asymptotic Solutions in Chemical PhysicsProblems by A. M. Il'in, L. A. Kalyakin, and S. I.Maslennikov Singularly Perturbed Problems with Boundary and Interior Layers:Theory and Application by V. F. Butuzov and A. B. Vasilieva Numerical Methods for Singularly Perturbed Boundary Value ProblemsModeling Diffusion Processes by V. L. Kolmogorov and G. I.Shishkin An important addition to the Advances in Chemical Physics series,this volume makes available for the first time in English the workof leading Russian researchers in singular perturbation theory andits application. Since boundary layers were first introduced byPrandtl early in this century, rapid advances have been made in theanalytic and numerical investigation of these phenomena, andnowhere have these advances been more notable than in the Russianschool of singular perturbation theory. The three chapters in thisvolume treat various aspects of singular perturbations and theirnumerical solution, and represent some of the best work done inthis area: * The first chapter, "The Matching Method for Asymptotic Solutionsin Chemical Physics Problems," is concerned with the analysis ofsome singular perturbation problems that arise in chemicalkinetics. In this chapter the matching method is applied to findasymptotic solutions to some dynamical systems of ordinarydifferential equations whose solutions have multiscale timedependence. * The second chapter, "Singularly Perturbed Problems with Boundaryand Interior Layers: Theory and Application," offers acomprehensive overview of the theory and application of asymptoticapproximations for many different kinds of problems in chemicalphysics governed by either ordinary or partial differentialequations with boundary and interior layers. * The third chapter, "Numerical Methods for Singularly PerturbedBoundary Value Problems Modeling Diffusion Processes," discussesthe numerical difficulties that arise in solving the problemsdescribed in the first two chapters, and proposes rigorous criteriafor determining whether or not a numerical method is satisfactoryfor such problems. Methods satisfying these criteria are thenconstructed and applied to obtain numerical solutions to a range ofsample problems. Timely, authoritative, and invaluable to researchers in all areasof chemical physics, Singular Perturbation Problems in ChemicalPhysics is an essential resource.

Author : John J. H. Miller
Publisher : Unknown
Page : 128 pages
File Size : 46,6 Mb
Release : 2009
Category : Electronic
ISBN : OCLC:733728582

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Advances in Chemical Physics, Single Perturbation Problems in Chemical Physics by John J. H. Miller Pdf

Author : James G. Simmonds,James E. Mann, Jr.
Publisher : Courier Corporation
Page : 164 pages
File Size : 47,8 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 0486675513

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A First Look at Perturbation Theory by James G. Simmonds,James E. Mann, Jr. Pdf

Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.

Author : Francisco M. Fernandez
Publisher : CRC Press
Page : 289 pages
File Size : 51,6 Mb
Release : 2000-09-19
Category : Science
ISBN : 9781420039641

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Introduction to Perturbation Theory in Quantum Mechanics by Francisco M. Fernandez Pdf

Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation

Author : R.S. Johnson
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 45,8 Mb
Release : 2005-12-28
Category : Technology & Engineering
ISBN : 9780387232171

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Singular Perturbation Theory by R.S. Johnson Pdf

The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible.

Author : Stephen Wilson,Ivan Hubac
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 40,6 Mb
Release : 2009-12-01
Category : Science
ISBN : 9789048133734

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Brillouin-Wigner Methods for Many-Body Systems by Stephen Wilson,Ivan Hubac Pdf

Brillouin-Wigner Methods for Many-Body Systems gives an introduction to many-body methods in electronic structure theory for the graduate student and post-doctoral researcher. It provides researchers in many-body physics and theoretical chemistry with an account of Brillouin-Wigner methodology as it has been developed in recent years to handle the multireference correlation problem. Moreover, the frontiers of this research field are defined. This volume is of interest to atomic and molecular physicists, physical chemists and chemical physicists, quantum chemists and condensed matter theorists, computational chemists and applied mathematicians.

Author : Anonim
Publisher : ScholarlyEditions
Page : 2998 pages
File Size : 47,5 Mb
Release : 2012-01-09
Category : Technology & Engineering
ISBN : 9781464963544

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Issues in Chemical Engineering and other Chemistry Specialties: 2011 Edition by Anonim Pdf

Issues in Chemical Engineering and other Chemistry Specialties: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Chemical Engineering and other Chemistry Specialties. The editors have built Issues in Chemical Engineering and other Chemistry Specialties: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Chemical Engineering and other Chemistry Specialties in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Chemical Engineering and other Chemistry Specialties: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : J. Maruani,Roland Lefebvre,Erkki J. Brändas
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 44,9 Mb
Release : 2013-11-27
Category : Science
ISBN : 9789401706353

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Advanced Topics in Theoretical Chemical Physics by J. Maruani,Roland Lefebvre,Erkki J. Brändas Pdf

Advanced Topics in Theoretical Chemical Physics is a collection of 20 selected papers from the scientific presentations of the Fourth Congress of the International Society for Theoretical Chemical Physics (ISTCP) held at Marly-le-Roi, France, in July 2002. Advanced Topics in Theoretical Chemical Physics encompasses a broad spectrum in which scientists place special emphasis on theoretical methods in chemistry and physics. The chapters in the book are divided into five sections: I: Advances Chemical Thermodynamics II: Electronic Structure of Molecular Systems III: Molecular Interaction and Dynamics IV: Condensed Matter V: Playing with Numbers This book is an invaluable resource for all academics and researchers interested in theoretical, quantum or statistical, chemical physics or physical chemistry. It presents a selection of some of the most advanced methods, results and insights in this exciting area.

Author : Anonim
Publisher : Unknown
Page : 1038 pages
File Size : 40,7 Mb
Release : 1980-07
Category : Chemistry
ISBN : CHI:20093363

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The Journal of Chemical Physics by Anonim Pdf

Author : Christopher Cramer,D.G. Truhlar
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 42,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662104217

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Theoretical Chemistry Accounts by Christopher Cramer,D.G. Truhlar Pdf

For the New Century Issue of the journal "Theroretical Chemistry Accounts" the advisory editors identified papers from the first century of theoretical chemistry and discussed their importance for the twentieth century with an eye towards the twenty-first century. Sixty-six such perspectives are published in the New Century Issue. To make this unique collection available to younger scientists for entertaining reading and re-reading of the original publications, the publisher decided to reprint a special edition of the issue.

Author : Phillip Robinson Certain
Publisher : Unknown
Page : 338 pages
File Size : 40,6 Mb
Release : 1969
Category : Molecular dynamics
ISBN : WISC:89011028040

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Perturbation Theories of Weak Intermolecular Forces by Phillip Robinson Certain Pdf

Author : Matti Hotokka,Erkki J. Brändas,Jean Maruani,Gerardo Delgado-Barrio
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 53,7 Mb
Release : 2013-09-13
Category : Science
ISBN : 9783319015293

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Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology by Matti Hotokka,Erkki J. Brändas,Jean Maruani,Gerardo Delgado-Barrio Pdf

Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology includes peer-reviewed contributions based on carefully selected presentations given at the 17th International Workshop on Quantum Systems in Chemistry, Physics, and Biology. New trends and state-of-the-art developments in the quantum theory of atomic and molecular systems, and condensed matter (including biological systems and nanostructures) are described by academics of international distinction.

Author : John H. Moore,Nicholas D. Spencer
Publisher : CRC Press
Page : 986 pages
File Size : 46,6 Mb
Release : 2023-07-03
Category : Science
ISBN : 9781003803287

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Encyclopedia of Chemical Physics and Physical Chemistry by John H. Moore,Nicholas D. Spencer Pdf

The Encyclopedia of Physical Chemistry and Chemical Physics introduces possibly unfamiliar areas, explains important experimental and computational techniques, and describes modern endeavors. The encyclopedia quickly provides the basics, defines the scope of each subdiscipline, and indicates where to go for a more complete and detailed explanation. Particular attention has been paid to symbols and abbreviations to make this a user-friendly encyclopedia. Care has been taken to ensure that the reading level is suitable for the trained chemist or physicist. The encyclopedia is divided in three major sections: FUNDAMENTALS: the mechanics of atoms and molecules and their interactions, the macroscopic and statistical description of systems at equilibrium, and the basic ways of treating reacting systems. The contributions in this section assume a somewhat less sophisticated audience than the two subsequent sections. At least a portion of each article inevitably covers material that might also be found in a modern, undergraduate physical chemistry text. METHODS: the instrumentation and fundamental theory employed in the major spectroscopic techniques, the experimental means for characterizing materials, the instrumentation and basic theory employed in the study of chemical kinetics, and the computational techniques used to predict the static and dynamic properties of materials. APPLICATIONS: specific topics of current interest and intensive research. For the practicing physicist or chemist, this encyclopedia is the place to start when confronted with a new problem or when the techniques of an unfamiliar area might be exploited. For a graduate student in chemistry or physics, the encyclopedia gives a synopsis of the basics and an overview of the range of activities in which physical principles are applied to chemical problems. It will lead any of these groups to the salient points of a new field as rapidly as possible and gives pointers as to where to read about the topic in more detail.

Author : N. Russo,Dennis R. Salahub
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401142458

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Metal-Ligand Interactions in Chemistry, Physics and Biology by N. Russo,Dennis R. Salahub Pdf

Proceedings of the NATO Advanced Study Institute, held in Cetraro (CS) Italy, from 1-12 September 1998

Author : Anonim
Publisher : Academic Press
Page : 350 pages
File Size : 47,8 Mb
Release : 2020-09-18
Category : Science
ISBN : 9780128197585

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Chemical Physics and Quantum Chemistry by Anonim Pdf

Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field one that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. In this volume the readers are presented with an exciting combination of themes. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology Features detailed reviews written by leading international researchers Topics include: New advances in Quantum Chemical Physics; Original theory and a contemporary overview of the field of Theoretical Chemical Physics; State-of-the-Art calculations in Theoretical Chemistry