3 ms·

Thank you and the sibling comment. These are interesting resources for practical and physical simulations of real phenomena. I thought more about an idealized

by tomthe 3y ago

Thank you and the sibling comment. These are interesting resources for practical and physical simulations of real phenomena. I thought more about an idealized wave (which water waves are not) through a homogeneous euclidean medium of idealized single oscillators. Each oscillator can only communicate to its direct neighbors. I should read through some of your materials as this might be what they talk about in the first chapters. But they focus too much on the actual physics and less about the implementation.

dsqrt 3y ago
The finite-differencing time-domain method [1] (sometimes also called leap-frog [2]) is easy to implement and robust for scalar and electromagnetic waves. This other book by LeVeque [3] is a great introduction on finite-differencing methods for linear equations. -- [1] https://en.wikipedia.org/wiki/Finite-difference_time-domain_method https://en.wikipedia.org/wiki/Finite-difference_time-domain_... [2] https://math.mit.edu/classes/18.086/2006/am53.pdf https://math.mit.edu/classes/18.086/2006/am53.pdf [3] https://epubs.siam.org/doi/book/10.1137/1.9780898717839 https://epubs.siam.org/doi/book/10.1137/1.9780898717839