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Computational astrophysics

As computers become more powerful and sophisticated, computational astrophysicists will be able to find out more about stellar evolution and other astronomical phenomena.

Monte Carlo methods in theoretical high-energy physics

Although lattice field theorists have been able to develop new approaches to the Monte Carlo method and to successfully apply them in Bosonic calculations, faster and larger computers are needed for Fermion-field evaluations. …

Statistical mechanics and disordered systems

Since computers are able to simulate the equilibrium properties of model systems, they may also prove useful for solving the hard optimization problems that arise in the engineering of complex systems.

Experimental mathematics: the role of computation in nonlinear science

Computers have expanded the range of nonlinear phenomena that can be explored mathematically. An “experimental mathematics facility,” containing both special-purpose dedicated machines and general-purpose mainframes, may someday …

Special-purpose processors in theoretical physics

Specially designed processors can provide a method for attacking some of the difficult computational problems facing theoretical physicists.

Symbolic mathematical computation

Standard programming languages are inadequate for the kind of symbolic mathematical computations that theoretical physicists need to perform. Higher mathematics systems like SMP address this problem.

A class of sorting algorithms based on Quicksort

Bsort, a variation of Quicksort, combines the interchange technique used in Bubble sort with the Quicksort algorithm to improve the average behavior of Quicksort and eliminate the worst case situation of O(n2) comparisons for …

Amortized analyses of self-organizing sequential search heuristics

The performance of sequential search can be enhanced by the use of heuristics that move elements closer to the front of the list as they are found. Previous analyses have characterized the performance of such heuristics probabilistically …

A generalized implicit enumeration algorithm for graph coloring

A generalized algorithm for graph coloring by implicit enumeration is formulated. A number of backtracking sequential methods are discussed in terms of the generalized algorithm. Some are revealed to be partially correct and  …