Self Validating Numerics for Function Space Problems is popular PDF and ePub book, written by Edgar W. Kaucher in 2014-06-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Self Validating Numerics for Function Space Problems can be Read Online from any device for your convenience.
Self Validating Numerics for Function Space Problems Book PDF Summary
Self-Validating Numerics for Function Space Problems describes the development of computational methods for solving function space problems, including differential, integral, and function equations. This seven-chapter text highlights three approaches, namely, the E-methods, ultra-arithmetic, and computer arithmetic. After a brief overview of the different self-validating approaches, this book goes on introducing the mathematical preliminaries consisting principally of fixed-point theorems and the computational context for the development of validating methods in function spaces. The subsequent chapters deals with the development and application of point of view of ultra-arithmetic and the constructs of function-space arithmetic spaces, such as spaces, bases, rounding, and approximate operations. These topics are followed by discussion of the iterative residual correction methods for function problems and the requirements of a programming language needed to make the tools and constructs of the methodology available in actual practice on a computer. The last chapter describes the techniques for adapting the methodologies to a computer, including the self-validating results for specific problems. This book will prove useful to mathematicians and advance mathematics students.
Detail Book of Self Validating Numerics for Function Space Problems PDF
- Author : Edgar W. Kaucher
- Release : 20 June 2014
- Publisher : Elsevier
- ISBN : 9781483273778
- Genre : Mathematics
- Total Page : 270 pages
- Language : English
- PDF File Size : 13,9 Mb
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