We analyze stability properties of backward difference formulas (BDF) methods of order up to 5 for linear parabolic equations as well as of implicit-explicit BDF methods for nonlinear parabolic ...

In this work, we propose an efficient numerical method for computing the electrostatic interaction between two like-charged spherical particles which is governed by the nonlinear Poisson-Boltzmann ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...