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Numerical Toolbox for Verified Computing I
As suggested by the title of this book Numerical Toolbox for Verified Computing, we present an extensive set of sophisticated tools to solve basic numerical problems with a verification of the results. We use the features of the scientific computer language PASCAL-XSC to offer modules that can be combined by the reader to his/her individual needs. Our overriding concern is reliability - the automatic verification of the result a computer returns for a given problem. All algorithms we present are influenced by this central concern. We must point out that there is no relationship between our methods of numerical result verification and the methods of program verification to prove the correctne...
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Introduction to Interval Analysis
An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.
C++ Toolbox for Verified Computing I
Our aim in writing this book was to provide an extensive set of C++ programs for solving basic numerical problems with verification of the results. This C++ Toolbox for Verified Computing I is the C++ edition of the Numerical Toolbox for Verified Computing l. The programs of the original edition were written in PASCAL-XSC, a PASCAL eXtension for Scientific Computation. Since we published the first edition we have received many requests from readers and users of our tools for a version in C++. We take the view that C++ is growing in importance in the field of numeri cal computing. C++ includes C, but as a typed language and due to its modern concepts, it is superior to C. To obtain the degree...
Schoenes Blumenfeld
None
Computer Arithmetic and Validity
This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic app...
Theobald Hocks Schönes Blumenfeldt (1601)
Das literarische Schaffen des 1573 in Limbach/Saar geborenen und vor 1624 in Böhmen oder im Elsass verstorbenen Dichters Theobald Hock umfasst 92 Gedichte, die 1601 in der Sammlung Schönes Blumenfeldt im Druck erschienen sind. Hocks Werk ist ein singuläres Zeugnis literarischen Gestaltungswillens in deutscher Sprache im Übergang vom Späthumanismus zum Barock, im Spannungsfeld spätmittelalterlichen Meistersangs, neulateinischer Dichtung und italienischer Einflüsse. Der Band bietet neben einem Überblick über die aktuelle Forschung Untersuchungen einzelner Gedichte, thematischer und motivischer Fragen sowie Studien zur Lebensgeschichte des Autors und zur Druckgeschichte seines Werkes.
