A First Course in Numerical Methods
Title | A First Course in Numerical Methods PDF eBook |
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.
A First Course in Numerical Analysis
Title | A First Course in Numerical Analysis PDF eBook |
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.
A First Course in the Numerical Analysis of Differential Equations
Title | A First Course in the Numerical Analysis of Differential Equations PDF eBook |
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.
A First Course in Numerical Methods
Title | A First Course in Numerical Methods PDF eBook |
Author | Uri M. Ascher |
Publisher | SIAM |
Total Pages | 574 |
Release | 2011-07-14 |
Genre | Mathematics |
ISBN | 0898719984 |
Offers students a practical knowledge of modern techniques in scientific computing.
Numerical Methods in Scientific Computing:
Title | Numerical Methods in Scientific Computing: PDF eBook |
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.
Numerical Methods that Work
Title | Numerical Methods that Work PDF eBook |
Author | Forman S. Acton |
Publisher | American Mathematical Soc. |
Total Pages | 549 |
Release | 2020-07-31 |
Genre | Mathematics |
ISBN | 147045727X |
A First Course in Ordinary Differential Equations
Title | A First Course in Ordinary Differential Equations PDF eBook |
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.