Computer Algebra Algorithms and Parallel Computing

Research - Groups

• Statistical Analysis and Computation Methods and Stochastic Models
• Symmetry/Integrability Analysis and Computer Algebra for Nonlinear Differential Equations
• Computational Methods for Variational Problems
• Analysis and Simulation of Discrete, Spatially-extended Dynamical Systems
• Computational Algebra and Number Theory
• Computer Algebra Algorithms and Parallel Computing
• Computational Topics in General Relativity, Gauge Theory, Classical Mechanics

Computer Algebra Algorithms and Parallel Computing

T. Wolf is a leader in parallelized symbolic solution of over-determined systems of equations and their applications to classification problems such as integrable Hamiltonians of different types, systems of evolutionary PDEs for scalars, vectors and mixed type, and supersymmetric evolutionary PDE-systems.

Representative publications

1. T. Wolf, “Applications of CRACK in the Classification of Integrable Systems”, to appear in Lecture Notes of the CRM (2002).
2. T. Wolf, “The integration of systems of linear PDEs using conservation laws of syzygies”, J. of Symb. Comp. 35, no 5 (2003) 499-526.