ACA'98 Sessions
1998 IMACS Conference on Applications of Computer Algebra
Electronic Proceedings
Papers/abstracts indexed by sessions
-
Applications of Gröbner Bases
-
Applications to Artificial Intelligence and to other Nonstandard Applications
-
Approximate Algebraic Computation
-
Automatic Differentiation for adjoint codes generation
-
Computation in Algebra and Geometry
-
Computer Algebra Applications in Biology, Ecology and Medicine
-
Computer Algebra Methods in Integration and Symmetry Analysis of ODEs
-
Control Theory
-
Dynamical Systems and Mechanics
-
Education meets Computer Algebra: A Double Challenge
-
General Relativity
-
High Energy Physics
-
High Performance Symbolic Computing
-
History of Computer Algebra Applications
-
Industrial Applications
-
Problem Solving Environments
-
Quantum Theory
-
Robotics
IMACS ACA'98 Electronic Proceedings
- Applications
of Gröbner Bases
Organizer:
Quoc-Nam Tran
- Computer Support for Inventing
Gröbner Bases Theory
(Bruno Buchberger)
- Gröbner Bases
Specialization through Hilbert Functions:
The Homogeneous Case
(M.-J. Gonzalez-Lopez, Laureano Gonzalez-Vega, Carlo Traverso &
Alberto Zanoni)
- Solving Systems of Nonlinear
Algebraic Equations by Using the Gröbner Walk
Method and Its Improvements
(Quoc-Nam Tran)
- Gröbner Bases in
Fractional Polynomial Rings and their
Applications
(Giuseppa Carra'-Ferro)
- On Algorithmic Desingularization
of Hypersurfaces
(Gabor Bodnar & Josef Schicho)
- Systems of Laurent Polynomial
Equations and Gröbner Bases
(Franz Pauer)
- Factor-SAGBI Bases:
a Tool for Computations in Subalgebras of Factor
Algebras
(Patrik Nordbeck)
- Sparse Structual
Gröbner Basis Detection
(Karin Gatermann)
- Functional Decomposition
and Gröbner Basis
(Jaime Gutierrez & Rosario Rubio San Miguel)
- Using Gröbner Bases
and Invariant Theory to Check a Conjecture in
Celestial Mechanics
(Ilias Kotsireas)
- Practical Computations
with Gröbner Bases
(Daniel Lichtblau)
IMACS ACA'98 Electronic Proceedings
- Applications to
Artificial Intelligence and to other Nonstandard
Applications
Organizer:
E. Roanes-Lozano
- Railway Interlocking
Systems and Gröbner Bases
(Eugenio Roanes-Lozano*, Luis M. Laita & Eugenio Roanes-Macias)
- Structural Modeling of
Internal Combustion Engines with Maple V
(Andrey Sokolov)
- Boole's Logic Revisited
from Computer Algebra. A Partial Validation of
Boole's Inference Procedures
(Luis M. Laita, Luis de Ledesma*, Eugenio Roanes-Lozano & Aurora Purez)
- Simplification for
the Laplace--Beltrami Operator
(Shigekazu Nakagawa*, Hiroki Hashiguchi & Naoto Niki)
- "Brainy" Functions
in DERIVE
(Johannn Wiesenbauer)
- Approximate Bayesian
Computations with Symbolic Integration
(Lubomir Soukup)
- A CAS Aid
in the Elaboration of the Expert System Supporting the Managing
the Monolithic Construction Process
(Magdalena Hajdasz & Adam Marlewski*)
IMACS ACA'98 Electronic Proceedings
- Approximate
Algebraic Computation
Organizers:
M. Noda
&
T. Sasaki
- Approximate Algebraic
Computation - IMACS 98
(David Rupprecht)
- Computation of Approximate
Polynomial Gcds and an Extension
(Victor Y. Pan)
- Accuracy Analysis of Hybrid
Rational Interpolation
(Hiroshi Kai* & Matu-Tarow Noda)
- Approximate Multivariate
Factorization and Its Time Complexity
(Kosaku Nagasaka & Tateaki Sasaki*)
- Remarks on Automatic
Algorithm Stabilization
(Kiyoshi Shirayanagi* & Moss Sweedler)
- Approximate Implicitation of
Rational Surfaces
(Laureano Gonzalez-Vega* & I. Necula)
- ``Approximate Zero-points''
of Univariate Polynomial with Small Error Terms
(Akira Terui* & Tateaki Sasaki)
- Cancellation Errors in
Multivariate Resultant Computation with Floating-Point Numbers
(Tateaki Sasaki* & Tomoyuki Sato)
IMACS ACA'98 Electronic Proceedings
- Automatic
Differentiation for adjoint codes generation
Organizer:
C. Faure
- Reduction of Storage of
Variables in Automatic Computation of Adjoint Code
(Mohamed Tadjouddine)
- Generation of the Adjoint
Code of the Meteorological Model Meso-NH
(Isabelle Charpentier)
- Using TAMC to Generate
Efficient Adjoint Code
(Ralf Giering & Thomas Kaminski*)
- Hierarchical Approach to
Automatic Differentiation
(Marco Mancini)
- Joys and Pains of Implementing
the Reverse Mode of Automatic Differentiation by Overloading
(Uwe Naumann)
IMACS ACA'98 Electronic Proceedings
- Computation in
Algebra and Geometry
Organizers:
A.V. Mikhalev,
A.A. Mikhalev
&
G.F. Pilz
- Parallel Poly-Pushdown Automatic
Groups
(Gilbert Baumslag)
- Computations in Free
Groups
(Alexei Miasnikov)
- Category of Representations of
Elementary Knowledge
(B. Plotkin & Tatjana Plotkin*)
- Optimal Parametrization of
Algebraic Curves
(Franz Winkler)
- Computations on
Quasi Algebraic Set
(William Sit)
- Computation of Standard Bases
of Ideals of Free Noncommutative Algebras
(Alexander A. Mikhalev* & Andrej A. Zolotykh)
- Involutive Division
and Applications
(Vladimir Gerdt)
- Linear Recurring Sequences
over Rings and Modules
(Alexander V. Mikhalev* & Alexander A. Nechaev)
- Computation of Multivariable Differential
Dimension Polynomials
(Alexander Levin)
- Graded Codes
(Justo Peralta Lopez)
- On the complexity of the Solution of
Polynomial Equations and Systems of Equations
(Victor Y. Pan)
- Matrix Mappings Preserving Diedonne
Determinant and their Algorithmic Constructions
(Elena Kreines)
- Graded Mappings of Frobenius Type and
their Algorithmic Constructions
(Alexander Gouterman)
- Polynomial Arithmetic
mod p using DERIVE
(Johann Wiesenbauer)
- Polynomial Multivariate
Decomposition
(Jaime Gutierrez & Rosario Rubio San Miguel*)
- On Computing the Weierstrass Points of
a Plane Algebraic Curve
(Mark Heiligman & Emil Volcheck*)
- Computation of Moduli, Periods
and Modular Symbols
(Nikolaj Glazunov)
- An Approach to Computing
the Action of Steenrod Squares on the Cohomology
of Polyhedral Simplicial Sets
(Rocio Gonzalez-Diaz* & Pedro Real Jurado)
- The Involutive
Gröbner Walk
(Oleg Goloubitsky)
- Weight Characteristics of Linear
Recurrences and Linear Codes over Galois Rings
(A.S. Kuzmin & Alexander A. Nechaev*)
- Software MAGNUS
Presentation
(Gilbert Baumslag & Alexei Miasnikov)
IMACS ACA'98 Electronic Proceedings
- Computer
Algebra Applications in Biology, Ecology and Medicine
Organizers:
N.I. Gurin,
N.K. Zaitsev
&
V. Edneral
- Methods of Computer
Algebra for Deciding the Incorrect Problems in
Chemical Technologies
(Nikolai I. Gurin* & G.F. Pinaev)
- Computing Threshold Conditions
for Models of Infectious Diseases with
Reinfections
(Paul Milligan & Andreas Weber*)
- Fractal Time Series Analysis
and Predictions for Tumor Spreading
(Margarita V. Voitikova, presented by N.Gurin*)
- Using a Symbol
Transformation System Maple for Modeling of Soiling
Atmosphere
(Nikolai I. Gurin* & V.L. Kolesnikov)
IMACS ACA'98 Electronic Proceedings
- Computer Algebra
Methods in Integration and Symmetry Analysis of ODEs
Organizers:
F. Schwarz
&
V. Gerdt
- Symbolic Computation of Approximate
Symmetries for Ordinary Differential Equations
(Serge Andrianov)
- Applications of Computer Algebra to
Gasdynamic Problems of Ballistic
(Alain Carriere* & Louis-Remi Oudin*)
- Invariants of Ordinary Differential
Equations
(Matthias Berth)
- Involution and Lie Symmetry Analysis of
Differential Equations
(Vladimir Gerdt)
IMACS ACA'98 Electronic Proceedings
- Control
Theory
Organizers:
P. Dorato
&
C. Abdallah
- Applications of Quantifier
Elimination Software to Control System Design: An Overview
(Peter Dorato)
- Solving LMI and BMI Problems by
Quantifier Elimination
(Hirokazu Anai)
- On Switched Polynomial
Systems and Exact Output Tracking
(Mats Jirstrand & Dragan Nesi'c)
- Application of Mixed
QE/Probabilistic Methods for Nonlinear Feedback Design
(Chaouki T. Abdallah)
IMACS ACA'98 Electronic Proceedings
- Dynamical
Systems and Mechanics
Organizers:
V. Edneral
&
N. Vassiliev
- Computer Algebra
and Problems of Motion Stability
(Andrej V. Banshchikov & Larissa A. Bourlakova*)
- The Usage
of the system MATHEMATICA in some Problems of Mechanics
(Valentin D. Irtegov* & Tatyana N. Titorenko)
- Symbolic-Numeric
Investigations for Stability Analysis of Lagrange
Systems
(Sergey Gutnik)
- Formal Integral and
Symplectic Mapping
(Nikolay N. Vassiliev)
- Constructing Some
Classes of Specialized Numerical ODE. Integrators by
Means of Computer Algebra Systems
(Nikolay N. Vassiliev* & Nikolay O. Kirsanov)
- Symplectification
of Truncated Maps for Hamiltonian Systems
(Serge N. Andrianov)
- The Integration
of Ordinary Differential Equations: Factorization and
Transformations
(Lev M. Berkovich)
- Computer Algebra
of Vector Bundles and Complex Foliations of Polynomial
Dynamical Systems
(Nikolaj M. Glazunov)
- Systems of Nonlinear
and Algebraic Nonlinear Ordinary Differential
Equations
(Giuseppa Carra'-Ferro)
- On Initial Value
Problems for Ordinary Differential-Algebraic Equations
(F. Leon Pritchard* & William Sit*)
- Calculations and
Applications of Newton Polyhedrons
(Alexander B. Aranson)
- Construction
of Doubly Periodic Solutions via the Poincare-Lindstedt Method
in the Case of Massless Theory
(Sergey Yu. Vernov)
- Automata Network
Dynamical Systems for Construction of Fractal Objects
(Vasily M. Severyanov)
- Generalized Normal
Forms by Relegation
(Andre Deprit, Jesus Palacian Subiela, Etienne Deprit* & J.-F. San Juan)
- Computing Threshold Conditions
for Models of Infectious Diseases with
Reinfections
(Paul Milligan & Andreas Weber*)
- On Structure
Preserving Normal Forms of Hamiltonian Dynamical Systems
(J. Mikram & Fouad Zinoun*)
- Normal Form Method
and Approximated Solutions ODEs till the 4th Order
Dimension
(Victor F. Edneral)
IMACS ACA'98 Electronic Proceedings
- Education meets
Computer Algebra: A Double Challenge(Special Issue in
preparation)
Organizer:
B. Kutzler
Chairs of subsessions: T. Jebelean, M. Rayes, P. Schofield
- The TI-92 as a Vehicle for Teaching
Algebraic Thinking
(Edward Miller* & Laura Bracken*)
- Computer Algebra and Education. Examples
of Exercises with the Help of MAPLE
(Frederique Barkats)
- Symbolic Maximum Likelihood Estimation
with MATHEMATICA
(Colin Rose & Murray Smith*)
- Error Correcting Codes with DERIVE for
Windows
(Peter Schofield)
- IDA: an Interactive Document on
Algebra
(Arjeh M. Cohen)
- Symbolic Computations with
Algebraic Numbers
(Hans-Gert Graebe)
- Teaching Basic Concepts in Analysis with
Dynamical Geometry Programs
(Stefan Welke)
- Solving Systems of Linear
Equation with the TI-92 - An Example for the
Scaffolding Method
(Bernhard Kutzler)
- Complex Application of CA / ICS in
High-Tech Engineering Education
(Ladislav Drska*, Richard Liska & Milan Sinor)
- Visualizing Mathematics and
Mathematical Processes
(A. Israel Weinzweig)
- Computer Algebra in Teaching Chemistry:
a Package for Balancing Chemical Equations (MAPLE)
(Juan Llovet & Carlos Esebbag*)
- Computer Algebra Systems in Applied
Mathematics Education: Experiences and Future Directions
(Peder Thusgaard Ruhoff)
- Use of Formulae Bases in Teaching
and Learning Mathematics (MATHEMATICA)
(Margarita Spiridonova)
- Introducing and Implementing
CAS into Pre- and Inservice Education and Training
(Yasar Ersoy)
- Should Students Do Algebra when
Computer Algebra Systems Can Do it for Them?
(Paul Strickland & Dhiya Al-Jumeily*)
- The Use of Computer Algebra in a
Step-by-step Solution of Problems (MAPLE)
(Eno Tonisson)
- Chances and Risks of Heuristic
Reasoning: Some Examples using DERIVE
(Johann Wiesenbauer)
- Graphing Elementary Real Functions:
What Can and Cannot Be Done with a CAS (MAPLE)
(Eberhard H.A. Gerbracht* & Werner Struckmann)
- Should Recursion Be Part of the
Secondary Student's Mathematics Toolbox?
(Antonio Quesada)
- Using Theorema for Mathematical
Education (MATHEMATICA)
(Bruno Buchberger & Tudor Jebelean*)
- The Computer Classroom Lecture
(Bill Pletsch)
- Computer Algebra Support for Dynamical
System Study (MAPLE)
(Vasiliy Govorukhin* & V. Tsybulin)
- Composite Algorithms in the Teaching of
Mathematical Methods (AXIOM)
(Brian Dupee*, Raquel Martinez & Santiago Tapia)
- On the Applicability of Intelligent
Computer Algebra Systems in Mathematics Education
(Maria Nisheva-Pavlova)
- How To Create Textbooks With Live
Mathematics Using LaTeX
(Richard D. Jenks)
- Using DERIVE in Deriving
the Numerical Quadrature Formulas
(Adam Marlewski)
- CAS, Educational Microworlds, and the
Internet
(Nurit Zehavi)
IMACS ACA'98 Electronic Proceedings
- General
Relativity
Organizers:
T. Wolf
&
S. Klioner
- Facilities for General Relativity in
Macsyma
(Richard J. Petti)
- Two Applications of Macsyma in General
Relativity
(Richard J. Petti)
- A Package for Computation with
Indexed Objects within Mathematica and its Applications to Metric Gravity
Theories
(Sergei Klioner)
- Simplifications of Tensor Expressions
and Computations with Kerr-Schild Metrics
(Nikolay N. Vassiliev)
IMACS ACA'98 Electronic Proceedings
- High Energy
Physics
Organizers:
D. Perret-Gallix
&
V. Edneral
- Algebraic Computer Algorithms
and Path Integral Methods
(Edwin J. Vargas Sanchez)
- CompHEP -
Integrated Computer Algebra System for Calculation in High Energy
Physics
(Victor F. Edneral)
IMACS ACA'98 Electronic Proceedings
- High
Performance Symbolic Computing and Challenges of Computer
Algebra(Special Issue in preparation)
Organizer:
L. Bernardin
- Towards Computing
the Composition Factors of Permutation Groups of Degree
100,000,000
(John Cannon)
-
Data-flow Multithreaded Parallelism in Computer Algebra Algorithms
(Jean-Louis Roch, Thierry Gautier*, Jean-Guillaume Dumas & Gilles
Villard)
- Solving
the Six-Line Problem with the Dixon Resultant
(Robert Lewis* & George Nakos)
-
Challenges of Symbolic Computation: My Favorite Open Problems
(Erich Kaltofen)
- Correct and Useful
Simplification of Complex-valued Functions - What can be
Done?
(Rob Corless)
-
Towards High-Performance Symbolic Computing in MuPAD: Multi-Polynomial
Quadratic Sieve using Macro Parallelism and Dynamic Modules
(Thomas Metzner, Manfred Radimersky, Andreas Sorgatz* & Stefan
Wehmeier*)
- Constructing Fast
Algorithms: The Computational Approach
(Laurent Bernardin)
IMACS ACA'98 Electronic Proceedings
- History of
Computer Algebra Applications
Organizers:
M. Grosheva
&
G.B. Efimov
- On Some Computer Algebra
Applications in Bulgaria
(Margarita Spiridonova*, A. Gerov & M. Nisheva-Pavlova)
- The History of Computer
Algebra Application in Mechanics in Russia (Soviet Union)
(Gregory B. Efimov* & M.V. Grosheva)
- Experience of Development
and Usage of Packages of Symbolic Computations Intended for Investigation
of Mechanical Systems
(Andrej V. Banshchikov, Larissa A. Bourlakova*, Galina N. Ivanova,
Valentin D. Irtegov, Mikhal A. Novichov & Tatyana N. Titorenko)
- Computer Algebra at Keldysh
Institute
(Gregory B. Efimov*, I.B. Tshenkov & E. Yu. Zueva)
IMACS ACA'98 Electronic Proceedings
- Industrial
Applications
Organizer:
S. Stifter
- Industrial Design Aided by
Computer Algebra
(Arjeh M. Cohen)
-
Polynomial System Solving for Industrial Problems: A Report from the FRISCO
Project
(Laureano Gonzalez-Vega)
- CGAL: A Library for Flexible
Geometric Computing
(Remco Veltkamp)
- The Algebraic Under Constraint
Solver as a Design Tool
(Hiroyuki Sawada)
IMACS ACA'98 Electronic Proceedings
- Problem Solving
Environments
Organizers:
J. Johnson
&
S. Steinberg
- The Application Driven Ctadel
Environment
(Robert van Engelen, Lex Wolters* & Gerard Cats)
- SciNapse: A Problem Solving
Environment
(Stanly Steinberg)
- Perspectives on Integrating Mathematics
and Software
(Richard Petti)
- Numerical Simulations by Symbolic
Computations?
(Gustav Amberg)
- Wrapping Computer Algebra Components
with Java and CORBA
(Wolfgang Kuechlin)
- PSE Construction using Software
Components
(Bruce Char, Jeremy Johnson* & Lakshman Y. N.)
IMACS ACA'98 Electronic Proceedings
- Quantum
Theory
Organizer:
L. Kocbach
- The Perturbed Eigenvalue
Problem and its Application to the Solution of the Schrödinger
Equation by a kP Perturbation Method
(Clause-Pierre Jeannerod*, Nicolas Maillard & Eckhard Pflügel)
- Symbolic-Numeric Codes and
Computer Algebra Systems
(Ladislav Kocbach)
- Generation of Numerical Codes for
Evaluation of Atomic Scattering Quantities by Computer Algebra
Systems
(Imad Ladadwa)
- Molecular Orbital Integrals using
MAPLE in MATLAB
(Junbai B. Wang)
- Computer algebra systems as
a tool for computer proofs in quantum logic theory
(Miroslav Hamouz & Mirko Navara*)
IMACS ACA'98 Electronic Proceedings
- Robotics
Organizer:
J. Pfalzgraf
- Some Geometric and
Computer Algebra Aspects on Modeling Robot Arms
(Jochen Pfalzgraf)
- A Practical Implementation of
an Algorithm for Decomposing Sine-Cosine Equations with Parametric
Coefficients
(Jaime Gutierrez)
IMACS ACA'98 Electronic Proceedings