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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf
This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.
Numerical Analysis in Modern Scientific Computing by Peter Deuflhard,Andreas Hohmann Pdf
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.
Numerical Analysis and Scientific Computation by Jeffery J. Leader Pdf
This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the text.
Numerical Methods and Scientific Computing by Norbert Köckler Pdf
BL Ideal numerical methods and programming text for students, lecturers, and professionals alike This book covers the whole range of numerical mathematics. Throughout, the author presents a unified approach to theory, algortithms, applications, and the use of software.
Introduction to the Tools of Scientific Computing by Einar Smith Pdf
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.
Numerical Methods for Scientific Computing by J. H. Heinbockel Pdf
Numerical Methods for Scientific Computing is an introducion to numerical methods and analysis techniques that can be used to solve a variety of complicated engineering and scientific problems. The material is suitable for upper level college undergraduates or beginning graduate students. There is more than enough material for a two semester course in numerical methods and analysis for mathematicians, engineers, physicists, chemistry and science majors. Chapter one reviews necessary background prerequisite material. The chapter two illustrates techniques for finding roots of equations. Chapter three studies solution methods applicable for handling linear and nonlinear systems of equations. Chapter four introduces interpolation and approximation techniques. The chapter five investigates curve fitting using least squares and linear reqression. The chapter six presents the topics of difference equations and Z-transforms. The chapter seven concentrates on numerical differentiation and integration methods. Chapter eight examines numerical solution techniques for solving ordinary differential equations and chapter nine considers numerical solution techniques for solving linear partial differential equations. The chapter ten develops Monte Carlo techniques for simulating and analyzing complex systems. The final chapter eleven presents parallel computing considerations together with selected miscellaneous topics.
Numerical Methods for Scientific Computing by Kyle Novak Pdf
A comprehensive guide to the theory, intuition, and application of numerical methods in linear algebra, analysis, and differential equations. With extensive commentary and code for three essential scientific computing languages: Julia, Python, and Matlab.
Numerical Analysis by David Kincaid,David Ronald Kincaid,Elliott Ward Cheney Pdf
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Author : Boris N. Khoromskij Publisher : Walter de Gruyter GmbH & Co KG Page : 379 pages File Size : 40,8 Mb Release : 2018-06-11 Category : Mathematics ISBN : 9783110391398
Tensor Numerical Methods in Scientific Computing by Boris N. Khoromskij Pdf
The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms. This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green’s and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients. Contents Theory on separable approximation of multivariate functions Multilinear algebra and nonlinear tensor approximation Superfast computations via quantized tensor approximation Tensor approach to multidimensional integrodifferential equations
Introduction to Numerical Analysis and Scientific Computing by Nabil Nassif,Dolly Khuwayri Fayyad Pdf
Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an
Numerical Methods for Scientific Computing by Kyle Novak Pdf
Scientists and engineers often use algorithms without fully knowing what's happening inside them. This blind faith can lead to inefficient solutions and sometimes flat-out wrong ones. This book breaks open the algorithmic black boxes to help you understand how they work and why they can break down. Ideal for first-year graduate students, this book works to build both the intuitive understanding of underlying mathematical theory and useful skills for research. Examples worked out in detail provide a practical guide for using numerical methods in linear algebra, numerical analysis, and partial differential equations.
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.
Musculoskeletal Manual Medicine by Jiri Dvorak,Vaclav Dvorak,Wolfgang G. Gilliar,Werner Schneider,Hans Spring,Thomas Tritschler Pdf
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.
