ABSTRACT: Convergence behaviors of solutions arising from certain system of third-order nonlinear differential equations are studied. Such convergence of solutions corresponding to extreme stability ...

In this paper we define a discrete solution of the Plateau problem and we prove theorems for the convergence of the discrete solution when the contour satisfies a certain condition. A numerical ...

Department of Mathematics and Computer Science, Faculty of Science, Suez Canal University, Ismailia, Egypt. The development which has happened on the last twentyfive years on the fractional calculus ...

Abstract: Certain classes of systems with nonlinearities of a sector type and time-varying delay are studied. By the use of the Lyapunov functions method and the Razumikhin approach, conditions are ...

Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier-Stokes equations. Mathematics of Computation.

In the field of computational fluid dynamics, stability and convergence problems are often encountered when solving the governing equation. This paper studies the effect of the mode multigrid on the ...

Professor Kevin Buzzard of Imperial’s Department of Mathematics has been awarded a two-year grant from the AI for Math Fund.