Guide to Information Sources in Mathematics and Statistics

Author: Martha A. Tucker
Publisher: Libraries Unlimited
ISBN: 1563087014
Release Date: 2004
Genre: Mathematics

Publisher description: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These resources are grouped by material type. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. A majority of listed electronic resources are free.

Computational Fluid Dynamics Review 1998

Author: M Hafez
Publisher: World Scientific
ISBN: 9789814495776
Release Date: 1998-11-20
Genre: Science

The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD. It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field. The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field. Contents:VOLUME I:General Topics:Historical Remark on Fluiddynamics and Computers at ISAS (K Oshima)Progress in CFD for Turbomachine Cascade Flow Problems Emphasizing Investigations in Japan (H Daiguji)Contemporary Australian CFD Scene (K Srinivas & C A J Fletcher)Numerical Methods — Grid Generation and Adaptation:Solution of the Euler Equations on Solution-Adaptive Cartesian Grids (K G Powell)Anisotropic Cartesian Grid Method for Viscous Flow Computation (Z-N Wu)Numerical Simulation of Incompressible Flows and Analysis of Solutions (C-H Bruneau)Solution-Adaptive Methods for Elliptic Grid Generation (K Matsuno)Advancing-Front/Local-Reconnection (AFLR) Unstructured Grid Generation (D L Marcum)Anisotropic Mesh Adaption by Metric Control for Systems of PDE Involving Multiscale Phenomena (F Hecht & B Mohammadi)Finite Approximation Methods — Far Field Boundary Conditions:An Application of the Difference Potentials Method to Solving External Problems in CFD (V S Ryaben'kii & S V Tsynkov)Finite Volumes: Artificial Viscosity Schemes:The Method of Space-Time Conservation Element and Solution Element — A New Paradigm for Numerical Solution of Conservation Laws (S-C Chang et al.)Discontinuous Finite Elements and Finite Volume Versions of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Compressible Flows on Unstructured Grids (P Arminjon et al.)Artificial Dissipation as a Feedback Control with Application to the Cell Vertex Method (K W Morton & S M Stringer)Finite Volumes: Upwind Schemes:A General Class of Difference Approximation for Scalar Conservation Laws Realizing Both High Resolution and the Convergence to Entropy Solution (An Analysis from the Viewpoint of Numerical Viscosity) (H Aiso)Non-Existence of Third Order Muscl Schemes Unified Construction of Eno Schemes and a New Discontinuity Sharpenning Technique — Stiff Source Term Approach (H-M Wu et al)Probing Numerical Fluxes: Mass Flux, Positivity, and Entropy-Satisfying Property (M-S Liou)Finite Elements:A Fractional Step Method for the Solution of the Compressible Navier-Stokes Equations (R Codina et al.)Compressible Turbulent Flow Computations on Unstructured Triangular Grids (M T Manzari et al.)New Hybrid-Streamline-Upwind Finite-Element Method in a Dual Space (Natural Convection at High Rayleigh Numbers) (T Tanahashi & T Makihara)Spectral Methods:Key to Problems in Spectral Methods (J-P Wang)Effectiveness of a Spectral Finite Difference Scheme (Y Mochimaru)Spectral Methods for the Vorticity-Streamfunction Equations (R Peyret)Vortex Methods:Three Restrictions on the Vortex Methods (Y Ogami)Method of Discrete Vortices in Aerodynamic Problems Reducible to Singular Integral Equations (S M Belotserkovsky et al.)Preconditioning and Convergence Acceleration Techniques:Review of Preconditioning for the Compressible Fluid Dynamic Equations (E Turkel)Enhanced Acceleration and Reconditioning Techniques (Y Saad)Multilevel Elliptic Solvers on Unstructured Grids (T F Chan et al.)Multigrid Methods for Steady and Time-Dependent Flow (C-Q Liu)Design and Optimization:Airfoil Shape Optimization Using the Implicit Function Theorem (Y Horibata)Aerodynamic Optimization on Unstructured Meshes with Viscous Effects (J Elliott & J Peraire)Aerodynamic Design Optimization Using Advanced CFD Codes, Automatic Differentiation and Parallel Computing (A Oloso et al.)VOLUME II:Simulation of Flow Physics — Incompressible Flows:Incompressible Navier-stokes Solvers Using Primitive Variables (D Kwak et al.)Simulation of Unsteady Incompressible Viscous Fluid Flow by Fractional Step Finite Element Method: A Review (Y Ding & M Kawahara)Problems and Solutions Related to Rapid and Impuslsive Changes for Incompressible Flows (P M Gresho & R L Sani)Parallel Finite Element Computing Methods for Unsteady Flows with Interfaces (T Tezduyar et al.)Compressible Flows:Two-Phase Flow Instabilities in Channels and Turbine Cascades (G H Schnerr & M Heiler)Advanced Computational Techniques for Detailed Analysis of Flows Over Fixed and Rotary Wing Geometries (L N Sankar et al.)Development and Applications of an Unstructured Grid-based CFD Solver (S V Ramakrishnan et al.)Large-scale Simulation Results for Compressible Aerospace Applications (A Rizzi et al.)Navier-stokes Predictions of Missile Body Separated Flow Fields (W B Sturek et al.)Computations of Blast Wave Propagation Using an Overset Moving Zonal Method (K Fujii & F Shimizu)Hypersonics and Gas Kinetics:High-Order Numerical Methods for Unsteady Hypersonic Flow Simulations (X-L Zhong & G H Furumoto)Model of Continuum Medium with Nonclassical Kinematics (V P Myasnikov & M A Guzev)Higher-order Distribution Fuctions, Bgk-Burnett Equations and Boltzmann's H-Theorem (R Balakrishnan & R K Agarwal)Coupling Kinetic Models with Navier-Stokes Equations (P Le Tallec & J P Perlat)Transition and Turbulence:Applied Transition Analysis (T Herbert)Boundary-Layer Transition Prediction Toolkit (M R Malik)Turbulence Modeling — Progress and Future Outlook (J G Marvin & G P Huang)Taming Turbulence (J Kim)Progress in Subgrid-Scale Combustion Modeling (A W Cook & J J Riley)Interdisciplinary Applications:Application of Numerical Methods to Modeling the Stellar Wind and Interstellar Medium Interaction (N Pogorelov & T Matsuda)Approximate Solution of an Ocean Dynamics Problem (E M Vikhtenko & A G Zarubin)The Shallow Water Equations: State of the Art and New Trends (M M Cecchi & L Salasnich)Numerical Simulations of Multiphase Flows (Y Matsumoto & S Takagi)Unfied Solver CIP for Solid, Liquid and Gas (T Yabe)The Numerical Simulation of Strongly Unsteady Flow with Hundreds of Moving Bodies (R Löhner et al.)Accurate Finite Difference Algorithms for Computational Aeroacoustics (J W Goodrich & J Hardin)Progress in Computational Electromagnetics (J S Shang)Parallel Computations and Flow Visualization:Homogeneous and Heterogeneous Domain Decomposition for Compressible Fluid Flows at High Reynolds Numbers (A Quarteroni & L Stolcis)Prospects for CFD on Petaflops Systems (D E Keyes et al.)Distributed Visualization in Computational Fluid Dynamics (J R Cebral & R Löhner)The Virtual Windtunnel (S Bryson et al.) Readership: Students and researchers in computational fluid dynamics. Keywords:CFD Overview;CFD Historical Survey;Navier-Stokes Equations;Gas-Kinetic Equations;Viscous Flow;Incompressible Flow;Numerical Simulation;Numerical Optimization;Numerical Schemes;Grid Generation;Pre-, Post-Processing;Parallel Computing

Numerical Methods in Economics

Author: Kenneth L. Judd
Publisher: MIT Press
ISBN: 0262100711
Release Date: 1998
Genre: Business & Economics

"Judd's book is a masterpiece which will help transform the way economic theory is done. It harnesses the computer revolution in the service of economic theory by collecting together a whole array of numerical methods to simulate and quantify models that used to be purely algebraic and qualitative." -- Avinash K. Dixit, Sherrerd University Professor of Economics, Princeton University To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on "Rn," including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A web site contains supplementary material including programs and answers to exercises.

Earthquake Processes Physical Modelling Numerical Simulation and Data Analysis

Author: Mitsuhiro Matsu'ura
Publisher: Birkhäuser
ISBN: 9783034881975
Release Date: 2012-12-06
Genre: Science

In the last decade of the 20th century, there has been great progress in the physics of earthquake generation; that is, the introduction of laboratory-based fault constitutive laws as a basic equation governing earthquake rupture, quantitative description of tectonic loading driven by plate motion, and a microscopic approach to study fault zone processes. The fault constitutive law plays the role of an interface between microscopic processes in fault zones and macroscopic processes of a fault system, and the plate motion connects diverse crustal activities with mantle dynamics. An ambitious challenge for us is to develop realistic computer simulation models for the complete earthquake process on the basis of microphysics in fault zones and macro-dynamics in the crust-mantle system. Recent advances in high performance computer technology and numerical simulation methodology are bringing this vision within reach. The book consists of two parts and presents a cross-section of cutting-edge research in the field of computational earthquake physics. Part I includes works on microphysics of rupture and fault constitutive laws, and dynamic rupture, wave propagation and strong ground motion. Part II covers earthquake cycles, crustal deformation, plate dynamics, and seismicity change and its physical interpretation. Topics in Part II range from the 3-D simulations of earthquake generation cycles and interseismic crustal deformation associated with plate subduction to the development of new methods for analyzing geophysical and geodetical data and new simulation algorithms for large amplitude folding and mantle convection with viscoelastic/brittle lithosphere, as well as a theoretical study of accelerated seismic release on heterogeneous faults, simulation of long-range automaton models of earthquakes, and various approaches to earthquake predicition based on underlying physical and/or statistical models for seismicity change.

Featured Reviews in Mathematical Reviews 1997 1999

Author: Donald G. Babbitt
Publisher: American Mathematical Soc.
ISBN: 0821896709
Release Date: 2000-05-05
Genre: Mathematics

This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.

Numerical Methods for Shallow Water Flow

Author: C.B. Vreugdenhil
Publisher: Springer Science & Business Media
ISBN: 0792331648
Release Date: 1994-10-31
Genre: Science

A wide variety of problems are associated with the flow of shallow water, such as atmospheric flows, tides, storm surges, river and coastal flows, lake flows, tsunamis. Numerical simulation is an effective tool in solving them and a great variety of numerical methods are available. The first part of the book summarizes the basic physics of shallow-water flow needed to use numerical methods under various conditions. The second part gives an overview of possible numerical methods, together with their stability and accuracy properties as well as with an assessment of their performance under various conditions. This enables the reader to select a method for particular applications. Correct treatment of boundary conditions (often neglected) is emphasized. The major part of the book is about two-dimensional shallow-water equations but a discussion of the 3-D form is included. The book is intended for researchers and users of shallow-water models in oceanographic and meteorological institutes, hydraulic engineering and consulting. It also provides a major source of information for applied and numerical mathematicians.

Higher Order Numerical Methods for Transient Wave Equations

Author: Gary Cohen
Publisher: Springer Science & Business Media
ISBN: 354041598X
Release Date: 2001-11-06
Genre: Science

"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003

Air Pollution Modeling and Its Application I

Author: C. De Wispelaere
Publisher: Springer Science & Business Media
ISBN: 9781461333449
Release Date: 2012-12-06
Genre: Science

This is the first in a new series of publications arlslng out of the work of the Committee on Challenges of Modern Society of the North Atlantic Treaty Organization. The CCMS was established in 1969 with a mandate to examine practical ways of improving the exchange of experience among mem ber nations of the Alliance in the task of creating a better envir onment for their societies. It was charged with considering "spe cific problems of the human environment with the deliberate objec tive of stimulating action by member governments". It may come as a surprise to some that NATO - generally thought of as being an organization devoted solely to matters of defence - should concern itself with the environment at all. But this is to overlook Article 2 of the North Atlantic Treaty of 1949, which expressly provides that member count ries should contribute towards the furt her development of peaceful and friendly internat ional relations by promoting conditions of stability and well being. This concern is reflected in many non-military areas, in addition to the environmental one. I wish the present volume, which has been edited by the Bel gian Prime Minister's Office for Science Policy Programming, every success.

Environmental Modelling

Author: John Wainwright
Publisher: John Wiley & Sons
ISBN: 9781118351482
Release Date: 2013-01-22
Genre: Technology & Engineering

Simulation models are an established method used to investigate processes and solve practical problems in a wide variety of disciplines. Central to the concept of this second edition is the idea that environmental systems are complex, open systems. The authors present the diversity of approaches to dealing with environmental complexity and then encourage readers to make comparisons between these approaches and between different disciplines. Environmental Modelling: Finding Simplicity in Complexity 2nd edition is divided into four main sections: An overview of methods and approaches to modelling. State of the art for modelling environmental processes Tools used and models for management Current and future developments. The second edition evolves from the first by providing additional emphasis and material for those students wishing to specialize in environmental modelling. This edition: Focuses on simplifying complex environmental systems. Reviews current software, tools and techniques for modelling. Gives practical examples from a wide variety of disciplines, e.g. climatology, ecology, hydrology, geomorphology and engineering. Has an associated website containing colour images, links to WWW resources and chapter support pages, including data sets relating to case studies, exercises and model animations. This book is suitable for final year undergraduates and postgraduates in environmental modelling, environmental science, civil engineering and biology who will already be familiar with the subject and are moving on to specialize in the field. It is also designed to appeal to professionals interested in the environmental sciences, including environmental consultants, government employees, civil engineers, geographers, ecologists, meteorologists, and geochemists.