This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering.
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"This exceptionally comprehensive and thorough book is what Schatzman ... has titled it--a mathematical introduction to numerical analysis. ... The text is clearly written and error free, and the mathematics is always rigorous. ... An excellent source for those 'interested in the spice and spirit of numerical analysis...'"--Choice
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Inside This Book
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First Sentence:
However, due to the assumption (5.1.2), the term Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
trapezium formula, rectangle formula, multistep schemes, inverse power method, strictly positive diagonal, strict contraction, midpoint formula, advection equation, distinct knots, trigonometric approximation, multistep methods, quadrature error, natural splines, consistency error, block decomposition, orthonormal polynomials, interpolating spline, quadrature formulae, secant method, interpolation polynomial, divided differences, formal series New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
However, due to the assumption (5.1.2), the term Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
trapezium formula, rectangle formula, multistep schemes, inverse power method, strictly positive diagonal, strict contraction, midpoint formula, advection equation, distinct knots, trigonometric approximation, multistep methods, quadrature error, natural splines, consistency error, block decomposition, orthonormal polynomials, interpolating spline, quadrature formulae, secant method, interpolation polynomial, divided differences, formal series New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
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cites this book:
- Mathematical Methods (School Mathematics Project 16-19) by School Mathematics Project in Back Matter
- Fixed Points (Mathematical World) by Yu. A. Shashkin in Back Matter
- Numerical Analysis (Proceedings of Symposia in Applied Mathematics, V. 22) by American Mathematical Society in Back Matter
- Mathematics and Optimal Form: Coll.Pa (Scientific American Library) by Stefan Hildebrandt in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
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