Question
The method of lines imposes this property on all but one dimension. For 10 points each:
[10h] Name this property of the mesh in the finite element method that enables the approximate solving of differential equations. This property names the finest topology on a space, in which every set is open.
ANSWER: discrete [accept word forms, like discreteness and discretization]
[10m] This Runge–Kutta method is the simplest way to numerically solve ODEs. This method, which is named for its inventor, uniformly discretizes time by iteratively adding the derivative value times the step size.
ANSWER: Euler method [or forward Euler method]
[10e] The prototypical Runge–Kutta method calculates the derivative at this many points. A Riemann sum adds areas of polygons with this many sides.
ANSWER: four (The prototypical Runge–Kutta method is RK4.)
<David Bass, Science - Math> ~23140~ <Editor: David Bass>
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