Mathematical Modeling of Physical Systems

Powerpoint Presentations

  1. Thursday, September 22, 2011 Electrical circuits (Wednesday, September 21, 2011)
  2. Thursday, September 22, 2011 Planar mechanical systems (Wednesday, September 21, 2011)
  3. Thursday, September 22, 2011 Object-oriented modeling (Wednesday, September 21, 2011)
  4. Thursday, September 29, 2011 Algebraic loops, structural singularities (Wednesday, September 28, 2011)
  5. Thursday, September 29, 2011 Tarjan algorithm (Wednesday, September 28, 2011)
  6. Thursday, September 29, 2011 Pantelides algorithm (Wednesday, September 28, 2011)
  7. Thursday, October 6, 2011 Tearing and relaxation of equation systems (Wednesday, October 5, 2011)
  8. Thursday, October 6, 2011 Non-linear equation systems, Newton iteration (Wednesday, October 5, 2011)
  9. Thursday, October 6, 2011 Introduction to bond graphs, bond graphs of electrical circuits (Wednesday, October 5, 2011)
  10. Thursday, October 13, 2011 Bond graphs with algebraic loops and structural singularities, bond graphs of mechanical systems (Wednesday, October 12, 2011)
  11. Thursday, October 13, 2011 The four basic bond graph variables, hydraulic bond graphs, energy conversion: transformers and gyrators, electromechanical systems, duality principle, diamond rule (Wednesday, October 12, 2011)
  12. Thursday, October 13, 2011 Thermodynamics, heat equation, heat flow, thermal resistors and capacitors, radiation (Wednesday, October 12, 2011)
  13. Thursday, October 20, 2011 Modeling bipolar transistors using bond graphs, thermodynamics of bipolar transistors (Thursday, October 20, 2011)
  14. Thursday, October 20, 2011 The Dymola bond graph library (Thursday, October 20, 2011)
  15. Thursday, October 27, 2011 Thermal modeling of buildings: passive solar space heating (Thursday, October 27, 2011)
  16. Thursday, October 27, 2011 Thermal modeling of buildings II: Biosphere 2 (Thursday, October 27, 2011)
  17. Thursday, November 3, 2011 Treatment of discontinuities, state events, if- and when- statements, multi-valued functions, switches and ideal diodes, dry friction (Wednesday, November 2, 2011)
  18. Thursday, November 3, 2011 Treatment of discontinuities II, parametrized curve descriptions, causality of switch equations, leaking diodes, inline integration (Wednesday, November 2, 2011)
  19. Thursday, November 10, 2011 Bond graphs for mechanical systems, holonomic constraints, wrapping mechanical models, state selection, initial conditions (Wednesday, November 9, 2011)
  20. Thursday, November 10, 2011 Introduction to multi-bond graphs (Wednesday, November 9, 2011)
  21. Thursday, November 10, 2011 Wrapped multi-bond graphs for planar mechanics (Wednesday, November 9, 2011)
  22. Thursday, November 17, 2011 Wrapped multi-bond graphs for 3D mechanics (Wednesday, November 16, 2011)
  23. Thursday, November 17, 2011 Wrapped multi-bond graphs for 3D mechanics II (Wednesday, November 16, 2011)
  24. Thursday, November 17, 2011 Convective flows, turbines, compressors, and pumps (Wednesday, November 16, 2011)
  25. Thursday, November 24, 2011 Convective flows II, coupled mass and heat flows, capacitive fields (Wednesday, November 23, 2011)
  26. Thursday, November 24, 2011 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 23, 2011)
  27. Thursday, November 24, 2011 The thermo-bond-graph library, thermodynamic model of a pressure cooker, thermodynamic model of a water serpentine (Wednesday, November 23, 2011)
  28. Thursday, December 1, 2011 Chemical reaction dynamics, chemical bond graphs (Wednesday, November 30, 2011)
  29. Thursday, December 1, 2011 Chemical thermodynamics, mass balance, energy balance, volume flow (Wednesday, November 30, 2011)
  30. Thursday, December 8, 2011 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 7, 2011)
  31. Thursday, December 8, 2011 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 7, 2011)
  32. Thursday, December 8, 2011 Chemical thermodynamics III, Arrhenius' law, photo-chemistry, electrolysis, stirred reactors (Thursday, December 15, 2011)
  33. Thursday, December 15, 2011 Population dynamics I, single-species ecosystems, continuous-time logistic model, two-species ecosystem, Lotka-Volterra model (Thursday, December 15, 2011)
  34. Thursday, December 15, 2011 Population dynamics II, multi-species ecosystems, chaotic motion, structural and behavioral complexity (Thursday, December 15, 2011)
  35. Thursday, December 15, 2011 System dynamics, Dymola SystemDynamics library (Thursday, December 15, 2011)
  36. Thursday, December 22, 2011 World dynamics, Forrester's world model (Wednesday, December 21, 2011)
  37. Thursday, December 22, 2011 Inductive modeling, fuzzy inductive reasoning, mixed quantitative and qualitative modeling, cardiovascular system (Wednesday, December 21, 2011)
  38. Thursday, December 22, 2011 Economic modeling, FIR-enhanced system dynamics modeling, hierarchical qualitative modeling (Wednesday, December 21, 2011)

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 21, 2011 -- © François Cellier