Numerical Methods and Software

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Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Numerical Methods and Software by : David Kahaner

Download or read book Numerical Methods and Software written by David Kahaner and published by . This book was released on 1988 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Numerical Methods, Software, and Analysis

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 682 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods, Software, and Analysis by : John Rischard Rice

Download or read book Numerical Methods, Software, and Analysis written by John Rischard Rice and published by McGraw-Hill Companies. This book was released on 1983 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Numerical Methods Programming Projects Book

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Numerical Methods Programming Projects Book by : Thomas Allan Grandine

Download or read book The Numerical Methods Programming Projects Book written by Thomas Allan Grandine and published by Oxford University Press, USA. This book was released on 1990 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional numerical analysis books concentrate either on the mathematical or programming aspects of numerical algorithms. This textbook is different inasmuch as it emphasizes the relevance of these techniques to the real world and the use of a widely available library of numerical software in their application. The book consists of 22 carefully graded projects which will lead the reader through the techniques typically taught as part of a first course in numerical analysis. Throughout the reader is presented with projects which reflect very real problems that occur in science and industry. At the same time, the reader becomes accustomed to using a good library of numerical software when writing their programs. It is a theme of this book that the use of a solid, robust and bug-free software library will improve computational results and minimize the effort of programming. By integrating the use of the NAG (Numerical Algorithms Group) FORTRAN library into the projects, students will develop experience and expertise in the use of a software library and, by practical example, be better prepared for working further with numerical analysis libraries. This lively and entertaining text will provide a valuable complement to more traditional numerical analysis books. Answers to exercises are included as well as full documentation of the relevant library routines used.

Python Programming and Numerical Methods

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Publisher : Academic Press
ISBN 13 : 0128195509
Total Pages : 482 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Python Programming and Numerical Methods by : Qingkai Kong

Download or read book Python Programming and Numerical Methods written by Qingkai Kong and published by Academic Press. This book was released on 2020-11-27 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings. - Includes tips, warnings and "try this" features within each chapter to help the reader develop good programming practice - Summaries at the end of each chapter allow for quick access to important information - Includes code in Jupyter notebook format that can be directly run online

Numerical Computation 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3642591183
Total Pages : 494 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Numerical Computation 1 by : Christoph W. Ueberhuber

Download or read book Numerical Computation 1 written by Christoph W. Ueberhuber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.

A First Course in Numerical Methods

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Publisher : SIAM
ISBN 13 : 0898719976
Total Pages : 574 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A First Course in Numerical Methods by : Uri M. Ascher

Download or read book A First Course in Numerical Methods written by Uri M. Ascher and published by SIAM. This book was released on 2011-07-14 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers students a practical knowledge of modern techniques in scientific computing.

Fundamentals of Numerical Computation

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Publisher : SIAM
ISBN 13 : 1611975085
Total Pages : 583 pages
Book Rating : 4.6/5 (119 download)

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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.?

Numerical Techniques

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Publisher : Technical Publications
ISBN 13 : 9333224033
Total Pages : 638 pages
Book Rating : 4.3/5 (332 download)

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Book Synopsis Numerical Techniques by : Dr. J. S. Chitode

Download or read book Numerical Techniques written by Dr. J. S. Chitode and published by Technical Publications. This book was released on 2021-01-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book comprises of various numerical methods and their implementation with C-language and MATLAB. Basics of C-programming are covered in first chapter. Basics of errors in computation, number representation and its impact on errors is covered in second chapter. Various types of errors, their propagation, analysis and estimation is also covered in this chapter. Roots of transcendental equations are covered in third chapter. Birge-vieta method, Bairstow method, Bisection method, Secant method, Regula Falsi, Newton Raphson methods are discussed in detail. Fourth chapter focuses mainly on solution of simultaneous linear equations. Graphical, matrix inversion, substitution, Gauss' elimination, Gauss Jordan, LU decomposition, Gauss Seidel methods are discussed with the help of numerical examples. Curve fitting is discussed in fifth chapter. Finite differences operators, finite differences, Newton's forward and backward difference interpolation, divided differences interpolation, Lagrange’s interpolation, inverse interpolation, least squares approximation are presented. Numerical differentiation and integration is given in sixth and seventh chapter. Simpson's and trapezoidal rules of integration are presented. Solution of ordinary differential equations is given in eighth chapter. Taylor series, Picard’s methods, Euler's RK methods, Predictor corrector methods, boundary value problems and eigen value problems are also presented. Last chapter deals with unconstrained and constrained optimization. All the methods are implemented using C-program and some of them with MATLAB. Large number of solved and unsolved examples are also given.

Numerical Methods for Scientists and Engineers

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods for Scientists and Engineers by : Richard Wesley Hamming

Download or read book Numerical Methods for Scientists and Engineers written by Richard Wesley Hamming and published by . This book was released on 1962 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3662011700
Total Pages : 704 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Partial Differential Equations by : Hans Petter Langtangen

Download or read book Computational Partial Differential Equations written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.

Open Channel Flow

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Publisher : CRC Press
ISBN 13 : 148228216X
Total Pages : 1238 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Open Channel Flow by : Roland Jeppson

Download or read book Open Channel Flow written by Roland Jeppson and published by CRC Press. This book was released on 2010-11-09 with total page 1238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of open channel flow, Open Channel Flow: Numerical Methods and Computer Applications starts with basic principles and gradually advances to complete problems involving systems of channels with branches, controls, and outflows/ inflows that require the simultaneous solutions of systems of nonlinear algebraic equations coupled with differential equations. The book includes downloadable resources that contain a program that solves all types of simple open channel flow problems, the source programs described in the text, the executable elements of these programs, the TK-Solver and MathCad programs, and the equivalent MATLAB® scripts and functions. The book provides applied numerical methods in an appendix and also incorporates them as an integral component of the methodology in setting up and solving the governing equations. Packed with examples, the book includes problems at the end of each chapter that give readers experience in applying the principles and often expand upon the methodologies use in the text. The author uses Fortran as the software to supply the computer instruction but covers math software packages such as MathCad, TK-Solver, MATLAB, and spreadsheets so that readers can use the instruments with which they are the most familiar. He emphasizes the basic principles of conservation of mass, energy, and momentum, helping readers achieve true mastery of this important subject, rather than just learn routine techniques. With the enhanced understanding of the fundamental principles of fluid mechanics provided by this book, readers can then apply these principles to the solution of complex real-world problems. The book supplies the knowledge tools necessary to analyze and design economical and properly performing conveyance systems. Thus not only is the book useful for graduate students, but it also provides professional engineers the expertise and knowledge to design well performing and economical channel systems.

Numerical Methods in Scientific Computing

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Publisher : SIAM
ISBN 13 : 0898717787
Total Pages : 742 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Methods in Scientific Computing by : Germund Dahlquist

Download or read book Numerical Methods in Scientific Computing written by Germund Dahlquist and published by SIAM. This book was released on 2008-01-01 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Applied Numerical Methods Using MATLAB

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Publisher : John Wiley & Sons
ISBN 13 : 0471705187
Total Pages : 526 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Applied Numerical Methods Using MATLAB by : Won Y. Yang

Download or read book Applied Numerical Methods Using MATLAB written by Won Y. Yang and published by John Wiley & Sons. This book was released on 2005-05-20 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems. An Instructor's Manual presenting detailed solutions to all the problems in the book is available online.

Numerical Methods and Optimization in Finance

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Publisher : Academic Press
ISBN 13 : 0128150653
Total Pages : 638 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Numerical Methods and Optimization in Finance by : Manfred Gilli

Download or read book Numerical Methods and Optimization in Finance written by Manfred Gilli and published by Academic Press. This book was released on 2019-08-16 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computationally-intensive tools play an increasingly important role in financial decisions. Many financial problems-ranging from asset allocation to risk management and from option pricing to model calibration-can be efficiently handled using modern computational techniques. Numerical Methods and Optimization in Finance presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested empirically. This revised edition includes two new chapters, a self-contained tutorial on implementing and using heuristics, and an explanation of software used for testing portfolio-selection models. Postgraduate students, researchers in programs on quantitative and computational finance, and practitioners in banks and other financial companies can benefit from this second edition of Numerical Methods and Optimization in Finance.

Numerical Analysis

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Publisher : Princeton University Press
ISBN 13 : 1400838967
Total Pages : 342 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Numerical Analysis by : Larkin Ridgway Scott

Download or read book Numerical Analysis written by Larkin Ridgway Scott and published by Princeton University Press. This book was released on 2011-04-18 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin

An Introduction to SAGE Programming

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Publisher : John Wiley & Sons
ISBN 13 : 1119122783
Total Pages : 244 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis An Introduction to SAGE Programming by : Razvan A. Mezei

Download or read book An Introduction to SAGE Programming written by Razvan A. Mezei and published by John Wiley & Sons. This book was released on 2015-12-29 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a simplified presentation of numerical methods by introducing and implementing SAGE programs An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods emphasizes how to implement numerical methods using SAGE Math and SAGE Interacts and also addresses the fundamentals of computer programming, including if statements, loops, functions, and interacts. The book also provides a unique introduction to SAGE and its computer algebra system capabilities; discusses second and higher order equations and estimate limits; and determines derivatives, integrals, and summations. Providing critical resources for developing successful interactive SAGE numerical computations, the book is accessible without delving into the mathematical rigor of numerical methods. The author illustrates the benefits of utilizing the SAGE language for calculus and the numerical analysis of various methods such as bisection methods, numerical integration, Taylor’s expansions, and Newton’s iterations. Providing an introduction to the terminology and concepts involved, An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods also features: An introduction to computer programming using SAGE Many practical examples throughout to illustrate the application of SAGE Interacts for various numerical methods Discussions on how to use SAGE Interacts and SAGE Cloud in order to create mathematical demonstrations Numerous homework problems and exercises that allow readers to practice their programming skillset A companion website that includes related SAGE programming code and select solutions to the homework problems and exercises An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods is an ideal reference for applied mathematicians who need to employ SAGE for the study of numerical methods and analysis. The book is also an appropriate supplemental textbook for upper-undergraduate and graduate-level courses in numerical methods.

MATLAB Programming for Numerical Analysis

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Publisher : Apress
ISBN 13 : 1484202953
Total Pages : 238 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis MATLAB Programming for Numerical Analysis by : Cesar Lopez

Download or read book MATLAB Programming for Numerical Analysis written by Cesar Lopez and published by Apress. This book was released on 2014-09-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. Programming MATLAB for Numerical Analysis introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. You will first become familiar with the MATLAB environment, and then you will begin to harness the power of MATLAB. You will learn the MATLAB language, starting with an introduction to variables, and how to manipulate numbers, vectors, matrices, arrays and character strings. You will learn about MATLAB’s high-precision capabilities, and how you can use MATLAB to solve problems, making use of arithmetic, relational and logical operators in combination with the common functions and operations of real and complex analysis and linear algebra. You will learn to implement various numerical methods for optimization, interpolation and solving non-linear equations. You will discover how MATLAB can solve problems in differential and integral calculus, both numerically and symbolically, including techniques for solving ordinary and partial differential equations, and how to graph the solutions in brilliant high resolution. You will then expand your knowledge of the MATLAB language by learning how to use commands which enable you to investigate the convergence of sequences and series, and explore continuity and other analytical features of functions in one and several variables.