A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15),New

A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15),New

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This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and RungeKutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief backup in a number of mathematical topics.

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Frequently Asked Questions

  • Q: What topics are covered in 'A First Course in the Numerical Analysis of Differential Equations'? A: The book covers the numerical solution of ordinary differential equations using multistep and Runge-Kutta methods, finite difference and finite element techniques for the Poisson equation, algorithms for large, sparse algebraic systems, and methods for parabolic and hyperbolic differential equations.
  • Q: Who is the author of this book? A: The author of 'A First Course in the Numerical Analysis of Differential Equations' is Arieh Iserles.
  • Q: What is the condition of the book? A: This is a used book in good condition, specifically rated as 'Very Good'.
  • Q: What is the publication date of the book? A: The book was published on January 26, 1996.
  • Q: How many pages does the book have? A: The book contains a total of 378 pages.
  • Q: What type of binding does this book have? A: This book is available in paperback binding.
  • Q: Is there any mathematical background provided in the book? A: Yes, the book includes an appendix that presents brief back-up on several mathematical topics.
  • Q: What is the primary audience for this book? A: The book is primarily aimed at students and professionals interested in the numerical analysis of differential equations, balancing theoretical, algorithmic, and applied aspects.
  • Q: Are there algorithms included in this book? A: Yes, a variety of algorithms are discussed in the book to solve large, sparse algebraic systems.
  • Q: Does the book cover both ordinary and partial differential equations? A: Yes, the book provides a rigorous account of the fundamentals of numerical analysis for both ordinary and partial differential equations.