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Your results using a forward difference integration are expected, and are resolved using the Boris method/push, the "de facto standard for particle pushing in plasma simulation codes." The below implementation in Python generates this plot of velocities for 10 periods (blue = forward difference, red = Boris method): from numpy import * import ...


Almost all of the comments are valuable. I think that a consensus is building (probably better: has been built) that the standard base system for science use is the numpy/scipy/matplotlib stack. But there are packages that don't build on that stack. I'm afraid you'll have to do some digging to see which packages will work for you. There are many ...

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