Relations between moduli spaces of stable bundles over ...2 and rationality.
On Donaldson polynomials of rational ruled surfaces.
Meromorphic solutions of a kind of functional equations of Diophantine type
We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.
Rank-3 stable bundles on rational rundle ruled surfaces.
On the Value Distribution of a Certain Type of Differential Polynomials.
Extensions of vector bundles and rationality of certain moduli spaces of stable bundles.
A Diophantine inequality with four squares and one th power of primes
Let be an odd integer and be any given real number. We prove that if , , , , are nonzero real numbers, not all of the same sign, and is irrational, then for any real number with , the inequality has infinitely many solutions in prime variables , where for and for odd integer with . This improves a recent result in W. Ge, T. Wang (2018).
Monotone iterative technique for partial dynamic equations of first order on time scales.
Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body.
Vehicle vibration analysis in changeable speeds solved by pseudoexcitation method.
A PVT-Type Algorithm for Minimizing a Nonsmooth Convex Function
2000 Mathematics Subject Classification: 90C25, 68W10, 49M37. A general framework of the (parallel variable transformation) PVT-type algorithm, called the PVT-MYR algorithm, for minimizing a non-smooth convex function is proposed, via the Moreau-Yosida regularization. As a particular scheme of this framework an ε-scheme is also presented. The global convergence of this algorithm is given under the assumptions of strong convexity of the objective function and an ε-descent condition determined by...
Prediction-correction Legendre spectral scheme for incompressible fluid flow
Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds. In addition, we prove that every closed generalized quasi-Einstein manifold is an Einstein manifold provided μ = -1/(n-2), λ ≤ 0 and β ≤ 0.
Prediction-correction legendre spectral scheme for incompressible fluid flow
The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.
A Content-based Dynamic Load-Balancing Algorithm for Heterogeneous Web Server Cluster
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