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Can anyone recommend any introductory material on real-world examples of differential equations? I don't mean the first-year undergrad textbook stuff with diffe
by Myrmornis 9y ago
Can anyone recommend any introductory material on real-world examples of differential equations? I don't mean the first-year undergrad textbook stuff with differential equations for population growth and chemical reactions and mechanics that can be solved via separation of variables etc. I mean descriptions of models used in science and engineering that result in needing to use the fancy solvers that this thread is discussing.
- snaky 9y agoElectronics is all about differential equations. > Circuit simulation programs take a text netlist describing the circuit elements (transistors, resistors, capacitors, etc.) and their connections, and translate this description into equations to be solved. The general equations produced are nonlinear differential algebraic equations https://en.wikipedia.org/wiki/SPICE https://en.wikipedia.org/wiki/SPICE All the way down to transistors and other basic elements > These models are very computer intensive, involving detailed spatial and temporal solutions of coupled partial differential equations on three-dimensional grids inside the device https://en.wikipedia.org/wiki/Transistor_model https://en.wikipedia.org/wiki/Transistor_model