SIMULATION METHODOLOGIES FOR SCIENTIFIC COMPUTING - Modern Application Design
Philipp Schwaha, Markus Schwaha, René Heinzl, Enzo Ungersboeck, S. Selberherr · 2007
We discuss methodologies to obtain solutions to complex mathematical problems derived from physical models. We present an approach based on series expansion, using discretization and averaging, and a stochastic approach. Various forms based on the Boltzmann equation are used as model problems. Each of the methodologies comes with its own strengths and weaknesses, which are briefly outlined. We also provide short code snippets to demonstrate implementations of key parts, that make use of our generic scientific simulation environment, which combines high expressiveness with high runtime performance.