Title
A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 44),New
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Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for realnumber calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and RungeKutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.
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- Q: What is the main focus of 'A First Course in the Numerical Analysis of Differential Equations'? A: The book focuses on the fundamentals of numerical analysis for both ordinary and partial differential equations, balancing theoretical, algorithmic, and applied aspects.
- Q: Who is the author of this book? A: The author of the book is Arieh Iserles, a recognized expert in numerical analysis.
- Q: What topics are covered in the second edition of this book? A: The second edition includes new chapters on geometric numerical integration, spectral methods, and conjugate gradients, along with topics like multistep methods and finite element techniques.
- Q: Is this book suitable for beginners in numerical analysis? A: Yes, this book provides a rigorous introduction to numerical analysis, making it suitable for beginners as well as those with some background in the subject.
- Q: How many pages does the book contain? A: The book contains 480 pages.
- Q: What type of binding does this book have? A: This book is available in paperback binding.
- Q: When was the book published? A: The book was published on December 29, 2008.
- Q: Does this book include practical applications of numerical analysis? A: Yes, it presents numerical analysis as a practical subject, highlighting its applications in scientific and engineering contexts.
- Q: What is the item condition of this book? A: The item condition of this book is listed as new.
- Q: Can this book help in solving large algebraic systems? A: Yes, it includes a variety of algorithms designed to solve large, sparse algebraic systems.