Parabolic equations, which include the classical heat equation, have long been a focal point in both theoretical and applied mathematics due to their inherent smoothing properties and relevance to ...
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. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...
Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...
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