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 ...
SIAM Journal on Numerical Analysis, Vol. 55, No. 2 (2017), pp. 980-1001 (22 pages) This paper presents a numerical method for verifying the existence and local uniqueness of a solution for an ...
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 ...
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