A topological version of a combinatorial theorem of Katětov
A self-scaling memoryless BFGS based conjugate gradient method using multi-step secant condition for unconstrained minimization
Conjugate gradient methods are widely used for solving large-scale unconstrained optimization problems, because they do not need the storage of matrices. Based on the self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno (SSML-BFGS) method, new conjugate gradient algorithms CG-DESCENT and CGOPT have been proposed by W. Hager, H. Zhang (2005) and Y. Dai, C. Kou (2013), respectively. It is noted that the two conjugate gradient methods perform more efficiently than the SSML-BFGS method. Therefore,...
On the computation of roll waves
The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to analyze the behavior of numerical approximations to a model roll wave equation which arises as a weakly nonlinear approximation of the shallow water equations. The main difficulty associated with the numerical approximation of this problem is its linear instability. Numerical round-off error can easily overtake the numerical solution and yields false...
On some radius results for normalized analytic functions
We investigate some radius results for various geometric properties concerning some subclasses of the class 𝓢 of univalent functions.
On the Computation of Roll Waves
The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to analyze the behavior of numerical approximations to a model roll wave equation , which arises as a weakly nonlinear approximation of the shallow water equations. The main difficulty associated with the numerical approximation of this problem is its linear instability. Numerical round-off error can easily overtake the numerical solution and yields...
Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping
This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids.
Some applications of a differential subordination.
Sufficiency for Gaussian hypergeometric functions to be uniformly convex.
Subclasses of univalent functions subordinate to convex functions.
A note on a theorem of Chuaqui and Gevirtz.
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Differential subordinations for fractional-linear transformations.
Coincidence and common fixed point theorems in compact Hausdorff spaces.
Extensions of certain classical summation theorems for the series , and with applications in Ramanujan's summations.
On certain meromorphic functions with positive coefficients.
Certain convex harmonic functions.
Fixed point theorems for densifying mappings and compact mappings.
On nonunique fixed point theorems.
Nonexpansive mappings and iterative methods in uniformly convex Banach spaces.
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