LIFESCI 30A Lecture Notes - Lecture 9: Determinism
28 Oct 2016
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We started with the idea that earlier state + change vector =later state (or equivalently: change vector = later state earlier state) But we saw that this doesn"t give us the right trajectory (correct this by reducing step size. We don"t want to use the change vector we get from this (this doesn"t work *adding the entire change vector* bc it represents a rate of change per day. Think like integrals, smaller time increments matter since there is no jump or transition to the next day"s change vector) Later state = earlier state + (time step)[change vector] Better way to write this: (current state) + t[change vector] = next state. Euler"s method is just repeating the above step over and over but plug in the current state into the differential equations each time. T represents a time step, or change in time i. e. a difference between two values of t.
