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| Author | : Anthony Ralston |
| Publisher | : Courier Corporation |
| Total Pages | : 644 |
| Release | : 2001-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486414546 |
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
| Author | : Uri M. Ascher |
| Publisher | : SIAM |
| Total Pages | : 574 |
| Release | : 2011-07-14 |
| Genre | : Mathematics |
| ISBN | : 0898719976 |
Offers students a practical knowledge of modern techniques in scientific computing.
| Author | : A. Iserles |
| Publisher | : Cambridge University Press |
| Total Pages | : 481 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0521734908 |
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
| Author | : Michael Anthony Wolfe |
| Publisher | : |
| Total Pages | : 176 |
| Release | : 1972 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Uri M. Ascher |
| Publisher | : SIAM |
| Total Pages | : 552 |
| Release | : 2011-07-14 |
| Genre | : Mathematics |
| ISBN | : 9780898719987 |
Offers students a practical knowledge of modern techniques in scientific computing.
| Author | : Parviz Moin |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2010-08-23 |
| Genre | : Technology & Engineering |
| ISBN | : 1139489550 |
Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.
| Author | : Jorge Rebaza |
| Publisher | : John Wiley & Sons |
| Total Pages | : 464 |
| Release | : 2021-04-27 |
| Genre | : Mathematics |
| ISBN | : 1118229622 |
Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation for transitioning to more advanced subjects. The author utilizes MATLAB® to showcase the presented theory and illustrate interesting real-world applications to Google's web page ranking algorithm, image compression, cryptography, chaos, and waste management systems. Additional topics covered include: Linear algebra Ranking web pages Matrix factorizations Least squares Image compression Ordinary differential equations Dynamical systems Mathematical models Throughout the book, theoretical and applications-oriented problems and exercises allow readers to test their comprehension of the presented material. An accompanying website features related MATLAB® code and additional resources. A First Course in Applied Mathematics is an ideal book for mathematics, computer science, and engineering courses at the upper-undergraduate level. The book also serves as a valuable reference for practitioners working with mathematical modeling, computational methods, and the applications of mathematics in their everyday work.
| Author | : Germund Dahlquist |
| Publisher | : SIAM |
| Total Pages | : 741 |
| Release | : 2008-09-04 |
| Genre | : Mathematics |
| ISBN | : 0898716446 |
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.
| Author | : Forman S. Acton |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 549 |
| Release | : 2020-07-31 |
| Genre | : Mathematics |
| ISBN | : 147045727X |
| Author | : Martin Hermann |
| Publisher | : Springer Science & Business |
| Total Pages | : 300 |
| Release | : 2014-04-22 |
| Genre | : Mathematics |
| ISBN | : 8132218353 |
This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.
