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Essentials Of Scientific Computing
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Book Synopsis Fundamentals of Scientific Computing by : Bertil Gustafsson
Download or read book Fundamentals of Scientific Computing written by Bertil Gustafsson and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.
Book Synopsis Musculoskeletal Manual Medicine by : Jiri Dvorak
Download or read book Musculoskeletal Manual Medicine written by Jiri Dvorak and published by Thieme. This book was released on 2019-04-04 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: An evidence-based reference for integrating manual medicine into everyday clinical practice Written by the authors of the popular Manual Medicine: Diagnostics and Manual Medicine: Therapy, this book is a comprehensive guide to integrating manual medicine into the diagnosis and clinical management of musculoskeletal disorders and pain syndromes. Brimming with instructive images and illustrations, the book provides a solid foundation in general principles of manual medicine, spinal biomechanics, neurophysiology, as well as treatments for each disorder and condition. Separate sections on the spine, limbs, and muscles present clinical applications for structural diagnosis and functional treatment. Highlights: Practical examples of evidence-based approaches to manual medicine 1,313 illustrations and photographs of superb quality that rapidly demonstrate key concepts Coverage of the essentials of the neuro-musculoskeletal examination with step-by-step descriptions of the techniques for observation, palpation, motion tests, functional examination, and provocative tests, including quick screening tests Chapter on the various components of nonradicular pain syndromes, including muscle pain syndromes, with clear diagnostic criteria for distinguishing the non-radicular and soft-tissue pain syndromes from other pain syndromes Succinct descriptions of common clinical neuro-orthopedic disorders and syndromes of the spine, upper limb, and lower limb in tabular format - ideal for rapid reference and review Discussion of the rationale for selecting particular low-risk treatment interventions, as well as a thorough discussion of indications and contraindications for patients with potentially increased risk Discussion of important considerations for documentation, informed consent, patient monitoring, and follow-up measures Practical section with descriptions of exercises for patients to do on their own Potential considerations for future research This book will serve as the definitive reference for all practitioners involved in the diagnosis and medical management of locomotor disorders and painful conditions. It will enable clinicians to enhance their diagnostic and treatment armamentarium by incorporating manual medicine techniques based on the current, evidence-based knowledge of the interrelationships between structure and function.
Book Synopsis Introduction to the Tools of Scientific Computing by : Einar Smith
Download or read book Introduction to the Tools of Scientific Computing written by Einar Smith and published by Springer Nature. This book was released on 2020-12-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike widely used standard approaches, it does not focus on any particular language but aims to explain the key underlying concepts. In general, new concepts are first introduced in the particularly user-friendly Python language and then transferred and expanded in various scientific programming environments from C / C ++, Julia and MATLAB to Maple. This includes different approaches to distributed computing. The fact that different languages are studied and compared also makes the book useful for mathematicians and practitioners trying to decide which programming language to use for which purposes.
Book Synopsis Mathematical Principles for Scientific Computing and Visualization by : Gerald Farin
Download or read book Mathematical Principles for Scientific Computing and Visualization written by Gerald Farin and published by CRC Press. This book was released on 2008-10-21 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coo
Book Synopsis Essentials of Scientific Computing by : Victor Zalizniak
Download or read book Essentials of Scientific Computing written by Victor Zalizniak and published by Elsevier. This book was released on 2008-03-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern development of science and technology is based to a large degree on computer modelling. To understand the principles and techniques of computer modelling, students should first get a strong background in classical numerical methods, which are the subject of this book. This text is intended for use in a numerical methods course for engineering and science students, but will also be useful as a handbook on numerical techniques for research students. Essentials of Scientific Computing is as self-contained as possible and considers a variety of methods for each type of problem discussed. It covers the basic ideas of numerical techniques, including iterative process, extrapolation and matrix factorization, and practical implementation of the methods shown is explained through numerous examples. An introduction to MATLAB is included, together with a brief overview of modern software widely used in scientific computations. Outlines classical numerical methods, which is essential for understanding the principles and techniques of computer modelling Intended for use in a numerical methods course for engineering and science students, but will also be useful as a handbook on numerical techniques for research students Covers the basic ideas of numerical techniques, including iterative process, extrapolation and matrix factorization
Book Synopsis Essentials of Scientific Computing by : Victor Zalizniak
Download or read book Essentials of Scientific Computing written by Victor Zalizniak and published by . This book was released on 2000 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific Computing by : Michael T. Heath
Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.
Book Synopsis Elements of Scientific Computing by : Aslak Tveito
Download or read book Elements of Scientific Computing written by Aslak Tveito and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming.
Book Synopsis Fundamentals of Numerical Computation by : Tobin A. Driscoll
Download or read book Fundamentals of Numerical Computation written by Tobin A. Driscoll and published by SIAM. This book was released on 2017-12-21 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?
Book Synopsis Guide to Scientific Computing in C++ by : Joe Pitt-Francis
Download or read book Guide to Scientific Computing in C++ written by Joe Pitt-Francis and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read textbook/reference presents an essential guide to object-oriented C++ programming for scientific computing. With a practical focus on learning by example, the theory is supported by numerous exercises. Features: provides a specific focus on the application of C++ to scientific computing, including parallel computing using MPI; stresses the importance of a clear programming style to minimize the introduction of errors into code; presents a practical introduction to procedural programming in C++, covering variables, flow of control, input and output, pointers, functions, and reference variables; exhibits the efficacy of classes, highlighting the main features of object-orientation; examines more advanced C++ features, such as templates and exceptions; supplies useful tips and examples throughout the text, together with chapter-ending exercises, and code available to download from Springer.
Book Synopsis Introduction to Scientific Computing by : Charles F. Van Loan
Download or read book Introduction to Scientific Computing written by Charles F. Van Loan and published by Pearson. This book was released on 2000 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate the "connection" between continuous mathematics and computing. "MATLAB 5" is used "throughout" to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a "hard" problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a "proof by MATLAB" experiment to bolster intuition; 3)at least one recursive algorithm; and 4)at least one connection to a real-world application. The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing. Power Tools of the Trade. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear Systems. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The Initial Value Problem. For engineers and mathematicians.
Book Synopsis Scientific Computing with MATLAB and Octave by : Alfio Quarteroni
Download or read book Scientific Computing with MATLAB and Octave written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.
Book Synopsis Introduction to Scientific Computing and Data Analysis by : Mark H. Holmes
Download or read book Introduction to Scientific Computing and Data Analysis written by Mark H. Holmes and published by Springer Nature. This book was released on 2023-07-11 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.
Book Synopsis Lessons in Scientific Computing by : Norbert Schorghofer
Download or read book Lessons in Scientific Computing written by Norbert Schorghofer and published by CRC Press. This book was released on 2018-09-25 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking an interdisciplinary approach, this new book provides a modern introduction to scientific computing, exploring numerical methods, computer technology, and their interconnections, which are treated with the goal of facilitating scientific research across all disciplines. Each chapter provides an insightful lesson and viewpoints from several subject areas are often compounded within a single chapter. Written with an eye on usefulness, longevity, and breadth, Lessons in Scientific Computing will serve as a "one stop shop" for students taking a unified course in scientific computing, or seeking a single cohesive text spanning multiple courses. Features: Provides a unique combination of numerical analysis, computer programming, and computer hardware in a single text Includes essential topics such as numerical methods, approximation theory, parallel computing, algorithms, and examples of computational discoveries in science Not wedded to a specific programming language
Book Synopsis Scientific Programming and Computer Architecture by : Divakar Viswanath
Download or read book Scientific Programming and Computer Architecture written by Divakar Viswanath and published by MIT Press. This book was released on 2017-07-28 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of programming models relevant to scientists explained, with an emphasis on how programming constructs map to parts of the computer. What makes computer programs fast or slow? To answer this question, we have to get behind the abstractions of programming languages and look at how a computer really works. This book examines and explains a variety of scientific programming models (programming models relevant to scientists) with an emphasis on how programming constructs map to different parts of the computer's architecture. Two themes emerge: program speed and program modularity. Throughout this book, the premise is to "get under the hood," and the discussion is tied to specific programs. The book digs into linkers, compilers, operating systems, and computer architecture to understand how the different parts of the computer interact with programs. It begins with a review of C/C++ and explanations of how libraries, linkers, and Makefiles work. Programming models covered include Pthreads, OpenMP, MPI, TCP/IP, and CUDA.The emphasis on how computers work leads the reader into computer architecture and occasionally into the operating system kernel. The operating system studied is Linux, the preferred platform for scientific computing. Linux is also open source, which allows users to peer into its inner workings. A brief appendix provides a useful table of machines used to time programs. The book's website (https://github.com/divakarvi/bk-spca) has all the programs described in the book as well as a link to the html text.
Book Synopsis Numerical Analysis in Modern Scientific Computing by : Peter Deuflhard
Download or read book Numerical Analysis in Modern Scientific Computing written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.
Book Synopsis Scientific Computing - An Introduction using Maple and MATLAB by : Walter Gander
Download or read book Scientific Computing - An Introduction using Maple and MATLAB written by Walter Gander and published by Springer Science & Business. This book was released on 2014-04-23 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.
