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Computer Algebra in Scientific Computing CASC’99

Computer Algebra in Scientific Computing CASC’99 PDF Author: Victor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 3642602185
Category : Computers
Languages : en
Pages : 507

Book Description
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.

Computer Algebra in Scientific Computing CASC’99

Computer Algebra in Scientific Computing CASC’99 PDF Author: Victor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 3642602185
Category : Computers
Languages : en
Pages : 507

Book Description
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.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Viktor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 3642572014
Category : Computers
Languages : en
Pages : 431

Book Description
Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000

Computer Algebra in Scientific Computing CASC 2001

Computer Algebra in Scientific Computing CASC 2001 PDF Author: Viktor G. Ganzha
Publisher: Springer Science & Business Media
ISBN: 3642566669
Category : Computers
Languages : en
Pages : 543

Book Description
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.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: François Boulier
Publisher: Springer Nature
ISBN: 3031417240
Category : Computers
Languages : en
Pages : 441

Book Description
This book constitutes the refereed proceedings of the 25th International Workshop on Computer Algebra in Scientific Computing, CASC 2023, which took place in Havana, Cuba, during August 28-September 1, 2023. The 22 full papers included in this book were carefully reviewed and selected from 29 submissions. They focus on the theory of symbolic computation and its implementation in computer algebra systems as well as all other areas of scientific computing with regard to their benefit from or use of computer algebra methods and software.

Computer Algebra in Scientific Computing Casc'99

Computer Algebra in Scientific Computing Casc'99 PDF Author: Victor G Ganzha
Publisher:
ISBN: 9783642602191
Category :
Languages : en
Pages : 528

Book Description


Computational Commutative and Non-commutative Algebraic Geometry

Computational Commutative and Non-commutative Algebraic Geometry PDF Author: Svetlana Cojocaru
Publisher: IOS Press
ISBN: 1586035053
Category : Electronic books
Languages : en
Pages : 336

Book Description


Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: François Boulier
Publisher: Springer Nature
ISBN: 3030851656
Category : Computers
Languages : en
Pages : 485

Book Description
This book constitutes the proceedings of the 23rd International Workshop on Computer Algebra in Scientific Computing, CASC 2021, held in Sochi, Russia, in September 2021. The 24 full papers presented together with 1 invited talk were carefully reviewed and selected from 40 submissions. The papers cover theoretical computer algebra and its applications in scientific computing.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Matthew England
Publisher: Springer
ISBN: 3030268314
Category : Computers
Languages : en
Pages : 479

Book Description
This book constitutes the refereed proceedings of the 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019, held in Moscow, Russia, in August 2019. The 28 full papers presented together with 2 invited talks were carefully reviewed and selected from 44 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CASs in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.

Computer Algebra Handbook

Computer Algebra Handbook PDF Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
ISBN: 3642558267
Category : Computers
Languages : en
Pages : 656

Book Description
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing PDF Author: Victor Grigorʹevich Ganzha
Publisher: Springer Science & Business Media
ISBN: 9783540423553
Category : Computers
Languages : en
Pages : 576

Book Description
Jets. A Maple-Package for Formal Differential Geometry.- Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloy.- A MuPAD Library for Differential Equation.- Algebraic Identification Algorithm and Application to Dynamical Systems.- Cooperation Between a Dynamic Geometry Environment and a Computer Algebra System for Geometric Discovery.- On the Stability of Steady Motions of a Solar-Sail Satellite.- Application of Computer Algebra for Investigation of a Group Properties of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas.- Mathematica and Nilpotent Lie Superalgebras.- Neighborhoods of an Ordinary Linear Differential Equation.- Invariants of Finite Groups and Involutive Division.- Symbolic Computation and Boundary Conditions for the Wave Equation.- Parametric Systems of Linear Congruences.- Bifurcation Analysis of Low Resonant Case of the Generalized Henon - Heiles System.- An Involutive Reduction Method to Find Invariant Solutions for Partial Differential Equations.- Recurrence Functions and Numerical Characteristics of Graphs.- A New Combinatorial Algorithm for Large Markov Chains.- GROOME - Tool Supported Graphical Object Oriented Modelling for Computer Algebra and Scientific Computing.- Construction of Janet Bases I.Monomial Bases.- Construction of Janet Bases II.Polynomial Bases.- Low-Dimensional Quasi-Filiform Lie Algebras with Great Length.- Algebraic Methods for Sectioning Parametric Surfaces.- The Methods of Computer Algebra and the Arnold-Moser Theorem.- Symbolic Algorithms of Algebraic Perturbation Theory: Hydrogen Atom in the Field of Distant Charge.- Perturbation versus Differentiation Indices.- Employment of the Gröbner Bases in Analysis of Systems Having Algebraic First Integrals.- "Coalgebra" Structures on 1-Homological Models for Commutative Differential Graded Algebras.- Conservative Finite Difference Schemes for Cosymmetric Systems.- A Mathematica Solver for Two-Point Singularly-Perturbed Boundary Value Problems.- A New Algorithm for Computing Cohomologies of Lie Superalgebras.- Parallel Computing with Mathematica.- Solution of Systems of Linear Diophantine Equations.- SYMOPT: Symbolic Parametric Mathematical Programming.- Representing Graph Properties by Polynomial Ideals.- Parametric G1-Blending of Several Surfaces.- A Method of Logic Deduction and Verification in KBS Using Positive Integers.- Progressive Long Waves on a Slope (A New Solution to the Euler Equation?).- The Method of Newton Polyhedra for Investigating Singular Positions of Some Mechanisms.- Algebraic Predicates for Empirical Data.- Fractional Driftless Fokker-Planck Equation with Power Law Diffusion Coefficients.- Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space.- Semilinear Motion Planning Among Moving Objects in REDLOG.- Author Index.