Mathematical Modeling of Physical Systems

Powerpoint Presentations

  1. Thursday, September 20, 2012 Electrical circuits (Wednesday, September 19, 2012)
  2. Thursday, September 20, 2012 Planar mechanical systems (Wednesday, September 19, 2012)
  3. Thursday, September 20, 2012 Object-oriented modeling (Wednesday, September 19, 2012)
  4. Thursday, September 27, 2012 Algebraic loops, structural singularities (Wednesday, September 26, 2012)
  5. Thursday, September 27, 2012 Tarjan algorithm (Wednesday, September 26, 2012)
  6. Thursday, September 27, 2012 Pantelides algorithm (Wednesday, September 26, 2012)
  7. Thursday, October 4, 2012 Tearing and relaxation of equation systems (Wednesday, October 3, 2012)
  8. Thursday, October 4, 2012 Non-linear equation systems, Newton iteration (Wednesday, October 3, 2012)
  9. Thursday, October 4, 2012 Introduction to bond graphs, bond graphs of electrical circuits (Wednesday, October 3, 2012)
  10. Thursday, October 11, 2012 Bond graphs with algebraic loops and structural singularities, bond graphs of mechanical systems (Tuesday, October 9, 2012)
  11. 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)
  12. Thursday, October 11, 2012 Thermodynamics, heat equation, heat flow, thermal resistors and capacitors, radiation (Tuesday, October 9, 2012)
  13. Thursday, October 18, 2012 Modeling bipolar transistors using bond graphs, thermodynamics of bipolar transistors (Wednesday, October 17, 2012)
  14. Thursday, October 18, 2012 The Dymola bond graph library (Wednesday, October 17, 2012)
  15. Thursday, October 25, 2012 Thermal modeling of buildings: passive solar space heating (Wednesday, October 24, 2012)
  16. Thursday, October 25, 2012 Thermal modeling of buildings II: Biosphere 2 (Wednesday, October 24, 2012)
  17. 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)
  18. Thursday, November 1, 2012 Treatment of discontinuities II, parametrized curve descriptions, causality of switch equations, leaking diodes, inline integration (Wednesday, October 31, 2012)
  19. Thursday, November 8, 2012 Bond graphs for mechanical systems, holonomic constraints, wrapping mechanical models, state selection, initial conditions (Wednesday, November 7, 2012)
  20. Thursday, November 8, 2012 Introduction to multi-bond graphs (Wednesday, November 7, 2012)
  21. Thursday, November 8, 2012 Wrapped multi-bond graphs for planar mechanics (Wednesday, November 7, 2012)
  22. Thursday, November 15, 2012 Wrapped multi-bond graphs for 3D mechanics (Wednesday, November 14, 2012)
  23. Thursday, November 15, 2012 Wrapped multi-bond graphs for 3D mechanics II (Wednesday, November 14, 2012)
  24. Thursday, November 15, 2012 Convective flows, turbines, compressors, and pumps (Wednesday, November 14, 2012)
  25. Thursday, November 22, 2012 Convective flows II, coupled mass and heat flows, capacitive fields (Wednesday, November 21, 2012)
  26. 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)
  27. 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)
  28. Thursday, November 29, 2012 Chemical reaction dynamics, chemical bond graphs (Wednesday, November 28, 2012)
  29. Thursday, November 29, 2012 Chemical thermodynamics, mass balance, energy balance, volume flow (Wednesday, November 28, 2012)
  30. 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)
  31. 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)
  32. Thursday, December 6, 2012 Chemical thermodynamics III, Arrhenius' law, photo-chemistry, electrolysis, stirred reactors (Wednesday, December 5, 2012)
  33. Thursday, December 13, 2012 Population dynamics I, single-species ecosystems, continuous-time logistic model, two-species ecosystem, Lotka-Volterra model (Wednesday, December 12, 2012)
  34. Thursday, December 13, 2012 Population dynamics II, multi-species ecosystems, chaotic motion, structural and behavioral complexity (Wednesday, December 12, 2012)
  35. Thursday, December 13, 2012 System dynamics, Dymola SystemDynamics library (Wednesday, December 12, 2012)
  36. Thursday, December 20, 2012 World dynamics, Forrester's world model (Wednesday, December 19, 2012)
  37. Thursday, December 20, 2012 Inductive modeling, fuzzy inductive reasoning, mixed quantitative and qualitative modeling, cardiovascular system (Wednesday, December 19, 2012)
  38. 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