SIAM Journal on Numerical Analysis, Vol. 27, No. 6 (Dec., 1990), pp. 1422-1444 (23 pages) Vector systems of parabolic partial differential equations in one space dimension are solved by an adaptive ...
Journal of Computational Mathematics, Vol. 37, No. 4 (July 2019), pp. 458-474 (17 pages) Let Ω, ⊂ ℝd, 1 ≤ d ≤ 3, be a bounded d-polytope. Consider the parabolic equation on Ω with the Dirac delta ...
Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...