Download or read book Research In Progress Applied And Numerical Mathematics Semiannual Report NASA written by United States. National Aeronautics and Space Administration and published by . This book was released on 1999* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in Progress in Applied Mathematics Numerical Analysis Fluid Mechanics and Computer Science written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-11-10 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1993 through March 31, 1994. The major categories of the current ICASE research program are: (1) applied and numerical mathematics, including numerical analysis and algorithm development; (2) theoretical and computational research in fluid mechanics in selected areas of interest to LaRC, including acoustics and combustion; (3) experimental research in transition and turbulence and aerodynamics involving LaRC facilities and scientists; and (4) computer science. Unspecified Center...
Download or read book Research in Progress Applied and Numerical Mathematics written by and published by . This book was released on 1996 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research In Progress Applied And Numerical Mathematics Semiannual Report NASA CR 1998 208450 Dec 3 1998 written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in Progress Applied and Numerical Mathematics written by and published by . This book was released on 1998 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in Progress in Applied Mathematics Numerical Analysis and Computer Science written by and published by . This book was released on 1990 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Progress and Modern Challenges in Applied Mathematics Modeling and Computational Science written by Roderick Melnik and published by Springer. This book was released on 2017-09-05 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.
Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.
Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Download or read book Introduction to the Foundations of Applied Mathematics written by Mark H. Holmes and published by Springer Nature. This book was released on 2019-10-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009
Download or read book Trends in Industrial and Applied Mathematics written by Abul Hasan Siddiqi and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains current results of research on numerical solutions of Schrodinger-type problems, sampling theorems, numerical methods for large-scale non-convex quadratic programming, derivative-free algorithms, free material optimization, Moreau's sweeping process and a perspective on industrial mathematics work in recent years. The book also includes wavelet-based digital watermarking techniques and computer simulation of meteorological parameters. One chapter of the book is also devoted to the importance of strange attractors for industrial mathematics. Audience: Academic researchers, as well as researchers working in industry.
Download or read book Numerical Time Dependent Partial Differential Equations for Scientists and Engineers written by Moysey Brio and published by Academic Press. This book was released on 2010-09-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. Self contained presentation of key issues in successful numerical simulation Accessible to scientists and engineers with diverse background Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations
Download or read book Numerical Analysis written by Kaiser S. Kunz and published by CreateSpace. This book was released on 2011-02-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of a set of lecture notes for a graduate course in numerical analysis which I gave at the Computation Laboratory of Harvard University during the years 1947 to 1949. Professor Howard Aiken of that laboratory foresaw the great need that would be felt throughout the country for men trained in the design and use of electronic digital computers and initiated at that early date a set of courses to meet this need. I was privileged during that time to devote full time to the preparation of the course on numerical methods. It was felt that such a course should cover those topics most directly needed for an understanding of the methods used in the numerical solution of differential equations, both ordinary and partial, and in the solution of integral equations. Thus in this book, as in the lectures, considerable time is devoted to finite-difference tables and notation, to numerical differentiation and integration, but peripheral subjects such as the smoothing of experimental data, least-squares approximation, and harmonic analysis are omitted. These omissions made it possible to include in one book all the background material needed for obtaining numerical solutions to advanced problems in applied mathematics. While the main reason for writing this book has been to acquaint the student with the best procedures available for obtaining numerical solutions to problems arising in applied mathematics, methods of doubtful practicality have often been included to broaden the student's understanding of the essential unity of all finite difference methods. Since the goal sought is largely a pragmatic one, only a modest attempt has been made to preserve mathematical rigor and free use has been made of symbolic methods and heuristic arguments.
Download or read book Progress in Partial Differential Equations written by Michel Chipot and published by . This book was released on 1991 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents some recent advances in three important domains of partial differential equations and applied mathematics: calculus of variations, exact controllability and numerical analysis. These topics are now part of various areas of science and have experienced tremendous development during the last decades. Interconnections within these different areas are also presented in particular for the numerical analysis of problems in calculus of variations and applications to mechanics. Readership: a special attempt has been made to make the results and techniques presented here accessible to young researchers and non-specialists. This book should interest not only experts in partial differential equations but also graduate students, applied mathematicians and computer users.
Download or read book Research in Progress at the Institute for Computer Applications in Science and Engineering written by and published by . This book was released on 1987 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Problem Solving Using Maple written by William P Fox and published by CRC Press. This book was released on 2020-11-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Problem Solving Using MapleTM: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process. The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods. Additional coverage includes multivariable unconstrained and constrained techniques. Linear algebra techniques to model and solve problems such as the Leontief model, and advanced regression techniques including nonlinear, logistics, and Poisson are covered. Game theory, the Nash equilibrium, and Nash arbitration are also included. Features: The text’s case studies and student projects involve students with real-world problem solving Focuses on numerical solution techniques in dynamical systems, optimization, and numerical analysis The numerical procedures discussed in the text are algorithmic and iterative Maple is utilized throughout the text as a tool for computation and analysis All algorithms are provided with step-by-step formats About the Authors: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his PhD at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).
Download or read book Methods of Applied Mathematics for Engineers and Scientists written by Tomas B. Co and published by Cambridge University Press. This book was released on 2013-06-28 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis, DAEs, high-order finite-difference formulas, Delaunay meshes, and others. MATLAB® implementations of the methods and concepts are fully integrated.
