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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book constitutes the refereed proceedings of the 10th International Workshop on Computer Algebra in Scientific Computing, CASC 2007, held in Bonn, Germany, in September 2007. The volume is dedicated to Professor Vladimir P. Gerdt on the occasion of his 60th birthday. The papers cover not only various expanding applications of computer algebra to scientific computing but also the computer algebra systems themselves and the CA algorithms.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems.- Computing the Betti Numbers of Arrangements in Practice.- A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method.- RelView - An OBDD-Based Computer Algebra System for Relations.- On the Use of Gröbner Bases for Computing the Structure of Finite Abelian Groups.- Normal Forms and Integrability of ODE Systems.- Resultant-Based Methods for Plane Curves Intersection Problems.- Symbolic Calculations in Studying the Stability of Dynamically Symmetric Satellite Motion.- Generation of Orthogonal Grids on Curvilinear Trimmed Regions in Constant Time.- Computer Algebra in Nanosciences: Modeling Electronic States in Quantum Dots.- Cayley-Dixon Resultant Matrices of Multi-univariate Composed Polynomials.- A Descartes Algorithm for Polynomials with Bit-Stream Coefficients.- Real Solving of Bivariate Polynomial Systems.- Nouvelle Cuisine for the Computation of the Annihilating Ideal of f s .- Janet-Like Monomial Division.- Janet-Like Gröbner Bases.- Circulant Digraphs and Monomial Ideals.- Algebraic Topological Analysis of Time-Sequence of Digital Images.- Hilbert Stratification and Parametric Gröbner Bases.- Investigation of the Stability Problem for the Critical Cases of the Newtonian Many-Body Problem.- Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method.- On Some Results of Investigation of Kirchhoff Equations in Case of a Rigid Body Motion in Fluid.- On Compatibility of Discrete Relations.- Construction of Two Level Orthogonal Arrays Via Solutions of Linear Systems.- Counting Techniques Specifying the Existence of Submatrices in Weighing Matrices.- Fast Verification for Respective Eigenvaluesof Symmetric Matrix.- Towards More Accurate Separation Bounds of Empirical Polynomials II.- Compiler-Enforced Memory Semantics in the SACLIB Computer Algebra Library.- Meta-Petro: An Expert System for Training Undergraduates in Metamorphic Rocks Recognition and Classification Using Photomicrographies.- The Diamond Operator - Implementation of Exact Real Algebraic Numbers.- Constructing the Numerical Method for Navier - Stokes Equations Using Computer Algebra System.- Nonlinear Waves in a Rod.- A Symbolic-Numeric Method for Solving Boundary Value Problems of Kirchhoff Rods.- Differential and Difference Equations for Products of Classical Orthogonal Polynomials.- Algorithm of Local Resolution of Singularities of a Space Curve.- Quantifier Elimination for Constraint Logic Programming.- Computation of Full Comprehensive Gröbner Bases.- Recursive Polynomial Remainder Sequence and the Nested Subresultants.- Interdependence Between the Laurent-Series and Elliptic Solutions of Nonintegrable Systems.- Solving Linear Differential Problems with Parameters.- Approximate Solution of the Dirichlet Problem for Elliptic PDE and Its Error Estimate.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains revised versions of the papers submitted to the workshop by the participants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers not only various expanding applications of computer algebra to scienti c computing but also the computer algebra systems themselves and the CA algorithms. The eight earlier CASC conferences, CASC 1998, CASC 1999, CASC 2000, CASC 2001, CASC 2002, CASC 2003, CASC 2004, and CASC 2005 were held, - spectively, in St. Petersburg, Russia, in Munich, Germany, in Samarkand, Uzb- istan, in Konstanz, Germany, in Crimea, Ukraine, in Passau, Germany, in St. Petersburg, Russia, and in Kalamata, Greece, and they proved to be successful. It was E. A. Grebenikow (Computing Center of the Russian Academy of S- ences, Moscow) who drew our attention to the group of mathematicians and c- puter scientists at the Academy of Sciences of Moldova conducting research in the eld of computer algebra. We were impressed that this group not only is concerned with applications of CA methods to problems of scienti c computing but also c- ries out research on the fundamental principles underlying the current computer algebra systems themselves, see also their papers in the present proceedings v- ume. It was therefore decided to organize the 9th workshop on Computer Algebra in Scienti c Computing, CASC 2006, in Chi sin au, the capital of Moldova.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The vast area of Scientific Computing, which is concerned with the computer aided simulation of various processes in engineering, natural, economical, or social sciences, now enjoys rapid progress owing to the development of new efficient symbolic, numeric, and symbolic/numeric algorithms. There has already been for a long time a worldwide recognition of the fact that the mathematical term algorithm takes its origin from the Latin word algo ritmi, which is in turn a Latin transliteration of the Arab name 'AI Khoresmi' of the Khoresmian mathematician Moukhammad Khoresmi, who lived in the Khoresm khanate during the years 780 - 850. The Khoresm khanate took sig nificant parts of the territories of present-day TUrkmenistan and Uzbekistan. Such towns of the Khoresm khanate as Bukhara and Marakanda (the present day Samarkand) were the centers of mathematical science and astronomy. The great Khoresmian mathematician M. Khoresmi introduced the Indian decimal positional system into everyday's life; this system is based on using the famil iar digits 1,2,3,4,5,6,7,8,9,0. M. Khoresmi had presented the arithmetic in the decimal positional calculus (prior to him, the Indian positional system was the subject only for jokes and witty disputes). Khoresmi's Book of Addition and Subtraction by Indian Method (Arithmetic) differs little from present-day arith metic. This book was translated into Latin in 1150; the last reprint was produced in Rome in 1957.…

555 p. Unread book. Like new! 9783540423553 Sprache: Englisch Gewicht in Gramm: 948 Hardcover: 15.9 x 3.2 x 23.5 cm.