4 articles
Boundary integral method
The boundary integral method is a numerical technique that reformulates a partial differential equation as an integral equation on the domain's boundary; discretizing it yields the boundary element method.
Fast multipole method
The fast multipole method (FMM) is a numerical algorithm, introduced by Leslie Greengard and Vladimir Rokhlin in 1987, that evaluates pairwise particle interactions in O(N) operations instead of O(N²).
Method of fundamental solutions
The method of fundamental solutions (MFS), also known as the charge simulation method, is a meshfree boundary-type numerical method for PDEs, introduced by Kupradze and Aleksidze in 1964.
Riemann solver
A Riemann solver is a numerical method that computes fluxes in finite-volume schemes for hyperbolic conservation laws by solving the Riemann problem at each cell interface.