
06023039
b
2012e.00767
Jacovkis, Pablo Miguel
A glimpse into mathematical modelling.
MAT. Serie A: Conferencias, Seminarios y Trabajos de Matem\'atica 18. Rosario: Universidad Austral, Departamento de Matem\'atica. 32~p. (2011).
2011
Rosario: Universidad Austral, Departamento de Matem\'atica
EN
M15
M65
mathematical modeling
calibration
initial conditions
boundary conditions
http://www.austral.edu.ar/cienciasempresariales/wpcontent/uploads/2015/05/Tarzia%28Ed%29MATSerieA19%282014%29.pdf
This very nicely written paper is the enlarged version of a fourhour seminar talk given by Professor Jacovkis during the Second Congress on Applied, Computational and Industrial Mathematics held in Rosario, Argentina, during December 1416, 2009. The author provides an overview of several fundamental steps in mathematical modeling including formulation of a model, calibration of parameters, analysis of initial and boundary conditions and sensitivity issues. A number of important mathematical models are discussed: ordinary differential equations, delay differential equations, and difference equations arising in population dynamics, partial differential equations that model traffic problems and dynamics of shallow water.
Svitlana P. Rogovchenko (Ume{\aa})