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In the first part, I shall present a new way to construct highly stiff stable schemes. Traditional time discretization schemes are usually based on Taylor expansions at $t_{n+\beta}$ with $\beta\in [0...
The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
Late in the afternoon of Friday, 21 April, another important milestone was achieved in the LHC beam commissioning. At 6.58 p.m., one day ahead of schedule, the LHC Engineer in Charge declared “stable ...
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
In this talk, I will show that (nontrivial) Lyapunov stable classes of vector fields far from homoclinic tangencies contain periodic orbits. This gives a partial answer for the Palis Weak Density Conj...
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
A facile postsynthetic amidoxime modification method was reported on the preparation of transition-metal ions (Mn, Fe, and Co)-polyacrylonitrile (PAN) polymeric beads complex as reusable catalysts for...
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
The flight of insects may look effortless but, as with any animal, their movements would be wildly uneven without an intricate system of neural signaling and muscle response to stabilize and steer the...
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Unlike in humans, when computer “brains” evolve, they get smaller and smaller. This is because the components that perform calculations and consolidate stored information work more efficiently when th...
花是植物重要的器官,受到多种花发育因子的调控。了解和掌握棉花的开花机理,对育种家选育合适生育期的材料,乃至对实现分子精确设计育种的目标都是至关重要的。EMBRYONIC FLOWER 2(EMF2)是多梳家族Polycomb Repressive Complex 2(PRC2)组成的亚基之一,对花器官属性建立过程中起调控作用。通过全基因组关联分析我们定位到开花相关的QTL(q FT-D3-3和qF...
The rice black-streaked dwarf virus (RBSDV) disease causes severe rice yield losses in Asia. RNA interference (RNAi) has been widely applied to develop antiviral varieties in plants. So far, only a fe...
Transportation produces a sizable amount of greenhouse gas emissions, largely by using petroleum to power internal combustion engines. Alternatives –- for example, organic materials such as grasses to...

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