1.4k citations · 3.6k across the 93 of their papers we have counts for
6 papers · 1 filter
Optimizing GoTools' Search Heuristics using Genetic Algorithms
Matthew Pratola, Thomas Wolf
GoTools is a program which solves life & death problems in the game of Go. This paper describes experiments using a Genetic Algorithm to optimize heuristic weights used by GoTools'…
Classification of integrable quadratic Hamiltonians on e(3)
Thomas Wolf, Olya V. Efimovskaya
Linear Poisson brackets on e(3) typical of rigid body dynamics are considered. All quadratic Hamiltonians of Kowalevski type having additional first integral of fourth degree are f…
A comparison of four approaches to the calculation of conservation laws
Thomas Wolf
The paper compares computational aspects of four approaches to compute conservation laws of single differential equations (DEs) or systems of them, ODEs and PDEs. The only restrict…
Size reduction and partial decoupling of systems of equations
Thomas Wolf
A method is presented that reduces the number of terms of systems of linear equations (algebraic, ordinary and partial differential equations). As a byproduct these systems have a…
The integration of systems of linear PDEs using conservation laws of syzygies
Thomas Wolf
A new integration technique is presented for systems of linear partial differential equations (PDEs) for which syzygies can be formulated that obey conservation laws. These syzygie…
Applications of CRACK in the Classification of Integrable Systems
Thomas Wolf
Work on different classification problems is described as: the classification of integrable vector evolution equations, NLS systems with two vector unknowns, systems with one scala…