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"DAEs are not ODEs" (Differential-Algebraic Equations)
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Classroom Contents
Adventures in Computing - From Punch Cards to Differential Equations
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- 1 Welcome!
- 2 Programming with punch cards
- 3 My first serious encounter with numerical methods for ODEs
- 4 Why should users have to decide whether their problem is stiff or not?
- 5 Livermore Solver for Ordinary Differential Equations Automatic (LSODA) is now available in Julia by LSODA.jl
- 6 Computational combustion (see DASSL.jl) and lessons about releasing code
- 7 Solar power plan and challenges that it provided
- 8 True problem wasn't in the code but in our math
- 9 "DAEs are not ODEs" (Differential-Algebraic Equations)
- 10 Development of theory and algorithms for Differential-Algebraic Equations (DAE, see DASKR.jl)
- 11 Solving F = ma with constraints
- 12 DAEs and various problems on which I was working around 1991
- 13 DAEs and parameter estimations, optimal control, etc.
- 14 Working on trajectories of small spacecraft
- 15 Chemical vapor deposition and DAE
- 16 Discrete stochastic simulations
- 17 Stochasticity in biological systems
- 18 Circadian rhythm
- 19 Spatial stochastic simulation
- 20 Stochastic simulation of COVID-19
- 21 Acknowledgments
- 22 Q&A: What do you think about barriers that scientists encounter when dealing with software engineering?
- 23 Q&A: What are your reflections on modeling biological systems?
- 24 Q&A: What do you think about the recent hype that differential equations get from the machine learning community?
