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Fundamentals of Scientific Computing

Fundamentals of Scientific Computing
Author: Bertil Gustafsson
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2011-06-11
Genre: Mathematics
ISBN: 3642194958

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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®.


Introduction to the Tools of Scientific Computing

Introduction to the Tools of Scientific Computing
Author: Einar Smith
Publisher: Springer Nature
Total Pages: 344
Release: 2020-12-02
Genre: Mathematics
ISBN: 3030608085

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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.


Musculoskeletal Manual Medicine

Musculoskeletal Manual Medicine
Author: Jiri Dvorak
Publisher: Thieme
Total Pages: 809
Release: 2019-04-04
Genre: Medical
ISBN: 3131493119

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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.


Mathematical Principles for Scientific Computing and Visualization

Mathematical Principles for Scientific Computing and Visualization
Author: Gerald Farin
Publisher: CRC Press
Total Pages: 286
Release: 2008-10-21
Genre: Computers
ISBN: 1439865043

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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


Essentials of Scientific Computing

Essentials of Scientific Computing
Author: Victor Zalizniak
Publisher: Elsevier
Total Pages: 231
Release: 2008-03-01
Genre: Computers
ISBN: 0857099361

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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


An Introduction to High-performance Scientific Computing

An Introduction to High-performance Scientific Computing
Author: Lloyd Dudley Fosdick
Publisher: MIT Press
Total Pages: 838
Release: 1996
Genre: Computers
ISBN: 9780262061810

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Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. This text evolved from a new curriculum in scientific computing that was developed to teach undergraduate science and engineering majors how to use high-performance computing systems (supercomputers) in scientific and engineering applications. Designed for undergraduates, An Introduction to High-Performance Scientific Computing assumes a basic knowledge of numerical computation and proficiency in Fortran or C programming and can be used in any science, computer science, applied mathematics, or engineering department or by practicing scientists and engineers, especially those associated with one of the national laboratories or supercomputer centers. The authors begin with a survey of scientific computing and then provide a review of background (numerical analysis, IEEE arithmetic, Unix, Fortran) and tools (elements of MATLAB, IDL, AVS). Next, full coverage is given to scientific visualization and to the architectures (scientific workstations and vector and parallel supercomputers) and performance evaluation needed to solve large-scale problems. The concluding section on applications includes three problems (molecular dynamics, advection, and computerized tomography) that illustrate the challenge of solving problems on a variety of computer architectures as well as the suitability of a particular architecture to solving a particular problem. Finally, since this can only be a hands-on course with extensive programming and experimentation with a variety of architectures and programming paradigms, the authors have provided a laboratory manual and supporting software via anonymous ftp. Scientific and Engineering Computation series


Essentials of Scientific Computing

Essentials of Scientific Computing
Author: Victor Zalizniak
Publisher:
Total Pages: 214
Release: 2000
Genre: Electronic data processing
ISBN:

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Scientific Computing

Scientific Computing
Author: Michael T. Heath
Publisher: SIAM
Total Pages: 567
Release: 2018-11-14
Genre: Science
ISBN: 1611975573

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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.


Elements of Scientific Computing

Elements of Scientific Computing
Author: Aslak Tveito
Publisher: Springer Science & Business Media
Total Pages: 471
Release: 2010-09-24
Genre: Mathematics
ISBN: 3642112994

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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.


Guide to Scientific Computing in C++

Guide to Scientific Computing in C++
Author: Joe Pitt-Francis
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2012-02-15
Genre: Computers
ISBN: 1447127366

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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.