Computer Algebra in Scientific Computing

CASC 2004

Program

Euler International Mathematical Institute,                10 Pesochnaya nab.

 

Monday July 12

14:00-19:00

REGISTRATION

Tuesday July 13 

  9:00-10:00

REGISTRATION

10:00-10:10

OPENING: Prof. Dr. Ernst W. Mayr and Prof. Dr. Vladimir P. Gerdt

Session 1 Chair Vladimir Gerdt

10:10-10:35

Dario A. Bini, Luca Gemignani and Victor Y. Pan: Improved Initialization of the Accelerated and Robust QR-Like Polynomial Root-Finding 

10:35-11:00

Mark Giesbrecht, George Labahn and Wen-shin Lee: Symbolic-Numeric Sparse Polynomial Interpolation in Chebyshev Basis and Trigonometric Interpolation 

11:00-11:25

Jean-Guillaume Dumas: Efficient Dot Product Over Word-size Finite Fields 

 

Coffee

11:40-12:30

Invite Talk: Koepf, Wolfram: Computer Algebra Methods for Orthogonal Poynomials

12:30-12:55

Tateaki Sasaki: Approximately Singular Multivariate Polynomials

12:55-13:20

Giorgio Dalzotto: An Algorithm to Factorize in a Quotient Ring 

 

Lunch                         

Session 2 Chair Victor Edneral

14:55-15:20

G. I. Malaschonok: Complexity Considerations in Computer Algebra 

15:20-15:45

Sergei A. Klioner: Independent Components of an Indexed Object with Linear Symmetries

15:45-16:10

Andreas Seidl: Extended Real Quantifier Elimination by Cylindrical Algebraic Decomposition to Get Answers

 

Coffee

16:30-16:55

Victor Edneral: CompHEP – System for High Energy Physics Computing

16:55-17:20

Dirk Draheim, Winfried Neun and Dima Suliman: Searching and Classifying Differential Equations on the Web

17:20-17:55

Sergey Yu. Vernov: Constructions of Singlevalued Solutions for Nonintegrable
Systems with the Help of the Painleve Test

17:55-18:20

Serguey Zemskov: The Error Estimate of the Approximate Solution of the Dirichlet Problem for Elliptical Partial Differential Equation

18:30

WELCOME PARTY

  

Wednesday July 14

Session 3 Chair Ernst W. Mayr

9:30-10:00

Victor G. Ganzha, Dmytro Chibisov and Evgenii V. Vorozhtsov: Hierarchical Advancing Front Triangulation Using Symmetry Properties 

10:00-10:25

Valentin Irtegov and Tatyana Titorenko: On Stability of Body's Motions in Fluid

10:25-10:50

Kurt Frischmut and Vyacheslav G. Tsybulin: Cosymmetry Preservation and Families of Equilibria

10:50-11:15

Carlo Cattani, Evgenii A. Grebenikov and Alexander Prokopenya: On the Parametric Resonance in Some Mechanical System with Damping 

 

Coffee

11:40-12:05

E. A. Grebenikov, E.V. Ikhsanov and N. I. Zemtsova: Stability Theorems of Stationary Solutions of the Restricted Ten-body Problem for Resonance Cases 

12:05-12:30

Aleksandr Mylläri: Stability of Expanding Homographic Configurations 

12:30-13:00

L. D. Pustyl'niukov, T. Lokot and R. L. Pustyl'niukov: Large Deviations in
Discrete Rotation System

 

Lunch

Session 4 Chair Volker Weispfenning

14:30-14:55

Larisa A. Burlakova and Andrey V. Banshchikov: On Stability of a Satellite
with Gyrodines

14:55-15:20

Alexander Gusev, Vladimir Andreev, Vladimir Derbov, Yuri Popov, Vitaly Rostovtsev and Sergue Vinitsky: Discrete Algorithms for Symbolic Computing
of Topological Phases in Interference Microscopy

15:20-15:45

Wolfgang Schacht and Evgenii V. Vorozhtsov: Implementation of Roe's Method
for Numerical Solution of Three-Dimensional Fluid Flow Problems with the Aid
of Computer Algebra Systems
 

15:45-16:10

 

 

Coffee

16:30-16:55

Oleg Golubitsky: Gröbner Walk for Characteristic sets of Prime Differential Ideals

16:55-17:20

Alexey Ovchinnikov: Computation of Characteristic Sets of Radical Differential Ideals     

17:20-17:55

Aleksey Kondratyev, Hans J. Stetter and Franz Winkler: Numerical
Computation of Gröbner Bases

17:55-18:20

Maki Iwami: Extension of Expansion Base Algorithm for Multivariate Analytic Factorization

  


 

 

Thursday July 15

 

Session 5 Chair Gerd Baumann 

  9:30-10:00

Vladimir V. Kornyak: On the Structure of Cohomology of Hamiltonian
$p$-Algebras

 

10:00-10:25

Alexey I. Zobnin: On Testing the Membership to Differential Ideals

 

10:25-10:50

Vladimir P. Gerdt and Denis A. Yanovich: Parallel Computation of Involutive
and Gr
öbner Bases

 

10:50-11:15

Volker Weispfenning: Gröbner Bases for Binomials with Parametric Exponents

 

 

Coffee

11:40-12:05

Thomas Sturm and Volker Weispfenning: Solving Univariate P-adic Constraints

 

12:05-12:30

Andreas Dolzmann and Thomas Sturm: Generalized Constraint Solving over Differential Algebras

 

12:30-13:00

Daiju Inaba and Tateaki Sasaki: Certification of Analytic Continuation of
Algebraic Function

 

13:00-13:30

Olivier Ruatta, Mark Sciabica and Agnes Szanto: Over-constrained Weierstrass Iteration and the Nearest Consistent System

 

 

Lunch

 

15:00

EXCURSION

 

19:00

CONFERENCE DINNER

 


 


 

Friday July 16

 

 

Session 6 Chair Nikolay Vassiliev

9:30-10:00

Gerd Baumann and Michal Mnuk: An Object Oriented Approach to Industrial Software Development

 

10:00-10:25

Jacques Calmet and Vincent Lefevre: Toward the Integration of Numerical Computations into the OMSCS Framework

 

10:25-10:50

Thomas Bayer: STRATIFY – A SINGULAR Package for Computing Stratifications of Compact Group Actions

 

10:50-11:15

 

 

Coffee

11:40-12:05

Carlos Cid, Sean Murphy and Matthew Robshaw: Computational and Algebraic Aspects of the Advanced Encryption Standard

 

12:05-12:30

S. Yu. Slavyanov, Mihail A. Zaharenko and V. I. Zolotarev: jSFTools - Knowledge Based System on Special Functions: Java Version

 

 

Lunch

 

Session 7 Chair Evgenii Vorozhtsov

14:30-14:55

Mikhail Tentyukov, M. Frank, D. Flieger, A. Onischenko, A. Retey, H. M. Staudenmaier and J. A. M. Vermaseren: ParForm: Parallel Version of the Symbolic Manipulation Program FORM

 

15:00-15:25

Natalia Malaschonok: Hydrodynamics on Two-dimensional Algebras

 

19:00

Leaving to the boat “Kuibyshev”.

 

 

 


 

Saturday July 17

 

 

Session 8        on the boat “Kuibyshev”

14:00-16:00

Business meeting

 


 

Sunday July 18

 

 

Session 6       on the boat “Kuibyshev”

18:00-20:00

Round Table

 


 

Monday July 19 

 

8:00

Arrival to St. Petersburg