Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.
A more careful count of the operations involved in solving the linear system associated with collocation of a two-point boundary value problem using rough splines reverses results recently reported by ...
SIAM Journal on Applied Mathematics, Vol. 65, No. 4 (Apr., 2005), pp. 1101-1129 (29 pages) Coupled-mode equations are derived from Maxwell equations for modeling of low-contrast cubic-lattice photonic ...