Mathematical Modeling of Physical Systems
Powerpoint Presentations
- Thursday, September 20, 2012
Electrical circuits
(Wednesday, September 19, 2012)
- Thursday, September 20, 2012
Planar mechanical systems
(Wednesday, September 19, 2012)
- Thursday, September 20, 2012
Object-oriented modeling
(Wednesday, September 19, 2012)
- Thursday, September 27, 2012
Algebraic loops, structural singularities
(Wednesday, September 26, 2012)
- Thursday, September 27, 2012
Tarjan algorithm
(Wednesday, September 26, 2012)
- Thursday, September 27, 2012
Pantelides algorithm
(Wednesday, September 26, 2012)
- Thursday, October 4, 2012
Tearing and relaxation of equation systems
(Wednesday, October 3, 2012)
- Thursday, October 4, 2012
Non-linear equation systems, Newton iteration
(Wednesday, October 3, 2012)
- Thursday, October 4, 2012
Introduction to bond graphs, bond graphs of electrical circuits
(Wednesday, October 3, 2012)
- Thursday, October 11, 2012
Bond graphs with algebraic loops and structural singularities,
bond graphs of mechanical systems
(Tuesday, October 9, 2012)
- Thursday, October 11, 2012
The four basic bond graph variables, hydraulic bond graphs,
energy conversion: transformers and gyrators, electromechanical
systems, duality principle, diamond rule
(Tuesday, October 9, 2012)
- Thursday, October 11, 2012
Thermodynamics, heat equation, heat flow, thermal resistors and
capacitors, radiation
(Tuesday, October 9, 2012)
- Thursday, October 18, 2012
Modeling bipolar transistors using bond graphs, thermodynamics of
bipolar transistors
(Wednesday, October 17, 2012)
- Thursday, October 18, 2012
The Dymola bond graph library
(Wednesday, October 17, 2012)
- Thursday, October 25, 2012
Thermal modeling of buildings: passive solar space heating
(Wednesday, October 24, 2012)
- Thursday, October 25, 2012
Thermal modeling of buildings II: Biosphere 2
(Wednesday, October 24, 2012)
- Thursday, November 1, 2012
Treatment of discontinuities, state events, if- and when-
statements, multi-valued functions,
switches and ideal diodes, dry friction
(Wednesday, October 31, 2012)
- Thursday, November 1, 2012
Treatment of discontinuities II, parametrized curve descriptions,
causality of switch equations, leaking diodes, inline integration
(Wednesday, October 31, 2012)
- Thursday, November 8, 2012
Bond graphs for mechanical systems, holonomic constraints,
wrapping mechanical models, state selection, initial conditions
(Wednesday, November 7, 2012)
- Thursday, November 8, 2012
Introduction to multi-bond graphs
(Wednesday, November 7, 2012)
- Thursday, November 8, 2012
Wrapped multi-bond graphs for planar mechanics
(Wednesday, November 7, 2012)
- Thursday, November 15, 2012
Wrapped multi-bond graphs for 3D mechanics
(Wednesday, November 14, 2012)
- Thursday, November 15, 2012
Wrapped multi-bond graphs for 3D mechanics II
(Wednesday, November 14, 2012)
- Thursday, November 15, 2012
Convective flows, turbines, compressors, and pumps
(Wednesday, November 14, 2012)
- Thursday, November 22, 2012
Convective flows II, coupled mass and heat flows, capacitive
fields
(Wednesday, November 21, 2012)
- Thursday, November 22, 2012
Convective flows III, capacitive fields II, internal energy of
matter, bus-bonds and bus-0-junctions, heat exchange, volume
work, mass flow, evaporation and condensation, thermodynamics of
mixing
(Wednesday, November 21, 2012)
- Thursday, November 22, 2012
The thermo-bond-graph library, thermodynamic model of a pressure
cooker, thermodynamic model of a water serpentine
(Wednesday, November 21, 2012)
- Thursday, November 29, 2012
Chemical reaction dynamics, chemical bond graphs
(Wednesday, November 28, 2012)
- Thursday, November 29, 2012
Chemical thermodynamics, mass balance, energy balance, volume
flow
(Wednesday, November 28, 2012)
- Thursday, December 6, 2012
Chemical thermodynamics II, the chemical RF-element, irreversible
(resistive) vs. reversible (gyrative) reactive flows, the CF-
element, the caloric state equation, enthalpy of formation
(Wednesday, December 5, 2012)
- Thursday, December 6, 2012
The chemo-bond-graph library, mass flow chemical reaction
networks, mass flow multi-port transformers, thermodynamic
chemical reaction networks, thermodynamic multi-port transformers
(Wednesday, December 5, 2012)
- Thursday, December 6, 2012
Chemical thermodynamics III, Arrhenius' law, photo-chemistry,
electrolysis, stirred reactors
(Wednesday, December 5, 2012)
- Thursday, December 13, 2012
Population dynamics I, single-species ecosystems, continuous-time
logistic model, two-species ecosystem, Lotka-Volterra model
(Wednesday, December 12, 2012)
- Thursday, December 13, 2012
Population dynamics II, multi-species ecosystems, chaotic motion,
structural and behavioral complexity
(Wednesday, December 12, 2012)
- Thursday, December 13, 2012
System dynamics, Dymola SystemDynamics library
(Wednesday, December 12, 2012)
- Thursday, December 20, 2012
World dynamics, Forrester's world model
(Wednesday, December 19, 2012)
- Thursday, December 20, 2012
Inductive modeling, fuzzy inductive reasoning, mixed quantitative
and qualitative modeling, cardiovascular system
(Wednesday, December 19, 2012)
- Thursday, December 20, 2012
Economic modeling, FIR-enhanced system dynamics modeling,
hierarchical qualitative modeling
(Wednesday, December 19, 2012)
Leicht gekürzte deutsche Version (28 Vorlesungen von
je 45 Minuten Länge)
Versión comprensiva en Castellano
(37 presentaciones de 50 minutos cada una)
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Last modified: December 19, 2012 -- © François Cellier