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Structural analysis of DAEs

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  • Differential Algebraic Equations (Daes) Constitute A Fundamental Model Class For Many Modelling Purp
  • Especially For Dynamical Simulation Of Component Based Systems
  • This Thesis Describes A Practical Methodology And Approach For Analysing General Dae
  • The Methodology Is Mainly Based On Strutural Index Analysis Which Is Not Limited By The Index Of The
  • As A Result Of Structural Index Analysis One Can Perform Index Reduction Of The Dae And Obtain The S
  • It Is Also Described
  • How To Use The Augmented Underlying Ode For Finding Consistent Initial Values And Solve The Initial
  • As A Methodology For Integrating The Augmented Underlying Ode
  • The Dummy Derivative Method Is Investigated
  • The Methodology Avoids The Traditional Stability And Drift-Of Problems Of Using The Underlying Ode
  • The Investigations Concern The Identification Of Quantities That Can Trigger The Automatic Choice Of
  • This Is A Practical Problem That Needs To Be Solved Before Implementations Of The Method Are Possibl
  • The General Methodology Is Tested In Practice
  • By The Implementation Of The Simpy Tool Box
  • This Is An Object Oriented System Implemented In The Python Language
  • It Can Be Used For Analysis Of Daes
  • Odes And Non-Linear Equation And Uses E
  • G
  • Symbolic Representations Of Expressions And Equations
  • The Presentations Of Theory And Algorithms For Structural Index Analysis Of Dae Is Original In The S
  • Also The Presentation Of The Theory Is Found To Be More Complete Compared To Other Presentations
  • Since It E
  • G
  • Proves The Uniqueness Of The Structural Index Reduction Process
  • Also Included
  • Is A Discussion Of Criticism And Defence Of Structural Analysis


Structural analysis of DAEs - DTU Orbit (21/03/14) Structural analysis of DAEs - DTU Orbit (21/03/14) Poulsen, MZ, Thomsen, PG & Houbak, N 2002, Structural analysis of DAEs. Ph.D. thesis.

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