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We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
In this talk, I will review several classes of higher-order generalizations of the integrable Camassa-Holm equation in the Hamiltonian forms. Then, I talk about some new results for one generalized Ca...
We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operators l_r M^r+?+l_1 M+l_0 where l_0,…,l_r are polynomials in x and Mx=x^b M for some...
We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
A new class of high-order maximum principle preserving numerical methods is proposed for solving the semilinear Allen-Cahn equation. We start with the method consists of a $k$th-order multistep expone...
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
This talk considers the distributed estimation problem of a linear stochastic system described by an autoregressive model with exogenous inputs when both the system orders and parameters are unknown. ...
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
High-order harmonic generation (HHG) from the interaction of ultra-intense laser pulses with atoms is an important tabletop short-wave coherent light source. Accurate quantum simulations of it present...
棉花是重要的工业原材料和天然纤维材料,相比于其他作物,陆地棉的遗传多样性极低,解析其形成原因,对棉花的遗传改良具有重要意义。研究人员通过对两种不同基因型的陆地棉进行全基因组比较分析,发现A08染色体上存在着大片段的遗传变异。该倒位能够将已发表的陆地棉核心种质资源材料分为两类,与利用SNP基因型重构的进化树的分类和主成分分析结果高度一致,表明陆地棉种内可能产生了分化。利用人工创制的群体和陆地棉核心种...
The dining time of different insects impacts a plant's defenses and nutritional quality -- a complexity uncovered in new research with implications for pest management strategies.
A framework for asynchronous, signature free, fully local and probabilistically converging total order algorithms is developed, that may survive in high entropy, unstructured Peer-to-Peer networks wit...

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