id: 06023039
dt: b
an: 2012e.00767
au: Jacovkis, Pablo Miguel
ti: A glimpse into mathematical modelling.
so: MAT. Serie A: Conferencias, Seminarios y Trabajos de Matemática 18.
Rosario: Universidad Austral, Departamento de Matemática. 32~p.
(2011).
py: 2011
pu: Rosario: Universidad Austral, Departamento de Matemática
la: EN
cc: M15 M65
ut: mathematical modeling; calibration; initial conditions; boundary conditions
ci:
li: http://www.austral.edu.ar/cienciasempresariales/wp-content/uploads/2015/05/Tarzia%28Ed%29-MAT-SerieA-19%282014%29.pdf
ab: This very nicely written paper is the enlarged version of a four-hour
seminar talk given by Professor Jacovkis during the Second Congress on
Applied, Computational and Industrial Mathematics held in Rosario,
Argentina, during December 14‒16, 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.
rv: Svitlana P. Rogovchenko (Umeå)