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Accuracy of the Higuera-Cary Particle Pusher

Is there any established open-source program that uses this method? Yes. You even link an article that uses it: Keppens' MPI-AMRVAC is available on github. It even includes the HC integrator in the ...
Kyle Kanos's user avatar
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Using Jacobi Method for Solving Full Semiconductor Equations

The Jacobi method solves problems in which the matrix is strictly diagonal dominant, which means that for every row, the diagonal term is greater-than or equal to the sum of the remaining terms: $$\...
Kyle Kanos's user avatar
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How to solve Relativistic Lorentz Force equation if $\gamma$ is not constant?

As stated in answers (see Ján Lalinský answer) to other similar questions the way to go is to evaluate the ALD force on the trajectory without the radiation particle reaction. Following this idea,the ...
ZMD's user avatar
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Which higher-order terms require 4th-order integration of quadratically-constrained dynamics?

You need to be careful in applying leapfrog to your EoM's since you have a velocity dependence on the force. You can have an appropriate second-order solver if you derive it using the same principles. ...
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Which higher-order terms require 4th-order integration of quadratically-constrained dynamics?

To answer the titular question: there isn't such a rule. Effectively, it's up to you as the researcher to determine the best ODE scheme to use to solve the problem based on your wants. For instance, ...
Kyle Kanos's user avatar
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