Particle-without-Particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources

19 Nov 2018 Oltean Marius Sopuerta Carlos F. Spallicci Alessandro D. A. M.

Partial differential equations with distributional sources---in particular, involving (derivatives of) delta distributions---have become increasingly ubiquitous in numerous areas of physics and applied mathematics. It is often of considerable interest to obtain numerical solutions for such equations, but any singular ("particle"-like) source modeling invariably introduces nontrivial computational obstacles... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • COMPUTATIONAL PHYSICS
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • NUMERICAL ANALYSIS
  • NEURONS AND COGNITION
  • COMPUTATIONAL FINANCE