Numerical Methods that Work
Author: Forman S. Acton
Publisher: American Mathematical Soc.
Published: 2020-07-31
Total Pages: 549
ISBN-13: 147045727X
DOWNLOAD EBOOKPosts
Numerical Methods for Two-Point Boundary-Value Problems
Author: Herbert B. Keller
Publisher: Courier Dover Publications
Published: 2018-11-14
Total Pages: 417
ISBN-13: 0486828344
DOWNLOAD EBOOKElementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.
Python Programming and Numerical Methods
Author: Qingkai Kong
Publisher: Academic Press
Published: 2020-11-27
Total Pages: 482
ISBN-13: 0128195509
DOWNLOAD EBOOKPython 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
A First Course in Numerical Methods
Author: Uri M. Ascher
Publisher: SIAM
Published: 2011-07-14
Total Pages: 574
ISBN-13: 0898719976
DOWNLOAD EBOOKOffers students a practical knowledge of modern techniques in scientific computing.
Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes
Author: Miguel Cerrolaza
Publisher: Academic Press
Published: 2017-12-28
Total Pages: 462
ISBN-13: 0128117192
DOWNLOAD EBOOKNumerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. - Provides non-conventional analysis methods for modeling - Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) - Includes contributions from several world renowned experts in their fields - Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems
Numerical Methods in Economics
Author: Kenneth L. Judd
Publisher: MIT Press
Published: 2023-04-04
Total Pages: 657
ISBN-13: 0262547740
DOWNLOAD EBOOKTo harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Introduction to Numerical Analysis
Author: J. Stoer
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 674
ISBN-13: 1475722729
DOWNLOAD EBOOKOn the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.
Numerical Methods
Author: Wolfgang Boehm
Publisher: CRC Press
Published: 2021-12-17
Total Pages: 196
ISBN-13: 1000657612
DOWNLOAD EBOOKThis book is written for engineers and other practitioners using numerical methods in their work and serves as a textbook for courses in applied mathematics and numerical analysis.
Numerical Methods for Conservation Laws
Author: Jan S. Hesthaven
Publisher: SIAM
Published: 2018-01-30
Total Pages: 571
ISBN-13: 1611975107
DOWNLOAD EBOOKConservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws; addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods; explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; and demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons. Code and other supplemental material will be available online at publication.
Numerical Methods
Author: Robert W. Hornbeck
Publisher: Prentice Hall
Published: 1975
Total Pages: 326
ISBN-13:
DOWNLOAD EBOOKUsing a "learn by example" approach, this exploration of the fundamental tools of numerical methods covers both modern and older, well-established techniques that are well-suited to the digital-computer solution of problems in many areas of science and engineering.
