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Software design for simulation driven optimization
This thesis describes a flexible framework for abstract numerical algorithms which treats algorithms as objects and makes them reusable, composable, and modifiable. These algorithm objects are implemented using the Rice ...
Program analysis and transformation in mathematical programming
Over the years, mathematical models have become increasingly complex. Rarely can we accurately model a process using only linear or quadratic functions. Instead, we must employ complicated routines written in some programming ...
On eliminating square paths in a square lattice
Removing the minimum number of vertices or points from a square lattice such that no square path exists is known as the square path problem. Finding this number as the size of the lattice increases is not so trivial. Results ...