Rudi Klatte, Ulrich Kulisch, Andreas Wiethoff, Christian Lawo, Michael Rauch

C-XSC (eBook, PDF)

A C++ Class Library for Extended Scientific Computing
Übersetzer: Wolff, C.; Wiethoff, Andreas; Klatte, Rudi; Lawo, Christian; Corliss, G. F.

• Format: PDF

Produktbeschreibung

C-XSC is a tool for the development of numerical algorithms delivering highly accurate and automatically verified results. It provides a large number of predefined numerical data types and operators. These types are implemented as C++ classes. Thus, C-XSC allows high-level programming of numerical applications in C and C++. The most important features of C-XSC are: real, complex, interval, and complex interval arithmetic; dynamic vectors and matrices; subarrays of vectors and matrices; dotprecision data types, predefined arithmetic operators with maximum accuracy; standard functions of high accuracy; multiple precision arithmetic and standard functions; rounding control for I/O data; error handling, and library of problem solving routines with automatic result verification. Thus, C-XSC makes the computer more powerful concerning the arithmetic. C-XSC is immediately usable by C programmers, easy to learn, user-extendable, and may also be combined with other tools. The book can be used as a textbook and as a reference manual. It consists of an introduction to advanced computer arithmetic, a chapter describing the programming languages C and C++, the major chapter "C-XSC Reference", sample programs, and indices.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 269
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642580581
• Artikelnr.: 53091412

Autorenporträt

C-XSC is a tool for the development of numerical algorithms. It provides data types and operators to support numerical algorithms which deliver highly accurate and automatically verified results. C and C++ are used for programming these algorithms - both languages could not be used for numerical algorithms previously. The book can be used as a textbook and as a reference manual. It will be of great interest to all computer users in the field of scientific computing.

Inhaltsangabe

1 Introduction.- 1.1 Typography.- 1.2 C-XSC: A Class Library in the Programming Language C++.- 1.3 C-XSC: A Programming Environment for Scientific Computing with Result Verification.- 1.4 Survey of C-XSC.- 2 The Programming Languages C and C++.- 2.1 A Short Introduction to C.- 2.2 Additional Features in C++.- 3 C-XSC Reference.- 3.1 Constants, Data Types, and Variables.- 3.2 Expressions.- 3.3 Statements.- 3.4 Error Handling.- 3.5 Pitfalls for Programming with C - XSC.- A Syntax Diagrams.- A.1 Data Types.- A.2 Management of Vectors and Matrices.- A.3 Definition of Variables.- A.4 Expressions.- A.5 Logical Expressions.- A.6 Type Castings.- A.7 Assignments.- A.8 Arithmetic Standard Functions.- A.9 Other Functions.- A.10 Input and Output.- A.11 Extension of a Syntax Diagram of C++.- B The Structure of the C - XSC Package.- B.1 Header Files.- B.2 Module Libraries.- C Error List.- D Sample Programs.- D.1 Rounding Control of Arithmetic Operations.- D.2 Rounding Control of Input and Output.- D.3 Scalar Product.- D.4 Transpose of a Matrix.- D.5 Trace of a Product Matrix.- D.6 Inverse of a Matrix.- D.7 Multiple-Precision Arithmetic.- D.8 Interval Newton Method.- D.9 Runge-Kutta Method.- D.10 Complex Polynomial Arithmetic.- D.11 Automatic Differentiation.- E Scientific Computation with Verified Results.- E.1 Evaluation of Polynomials.- E.2 Matrix Inversion.- E.3 Linear Systems of Equations.- E.4 Eigenvalues of Symmetric Matrices.- E.5 Fast Fourier Transform.- E.6 Zeros of a Nonlinear Equation.- E.7 System of Nonlinear Equations.- E.8 Ordinary Differential Equations.