Yanhui Su

Fuzhou University

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A Parallel Spectral Element Method for Fractional Lorenz System

Discrete Dynamics in Nature and Society (2015)

Yanhui Su

We provide a parallel spectral element method for the fractional Lorenz system numerically. The detailed construction and implementation of the method are presented. Thanks to the spectral accuracy of the presented method, the storage requirement due to the “global time dependence” can be considerably relaxed. Also, the parareal method combining spectral element method reduces the computing time greatly. Finally, we have tested the chaotic behaviors of fractional Lorenz system. Our numerical results are in excellent agreement with the results from other numerical methods.

Lorenz system

Spectral method

Chaotic systems

10.1155/2015/682140

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The first gap for total curvatures of planar graphs with nonnegative curvature

arXiv (Cornell University) (2017)

Bobo Hua Yanhui Su

We prove that the total curvature of a planar graph with nonnegative combinatorial curvature is at least $\frac{1}{12}$ if it is positive. Moreover, we classify the metric structures of ambient polygonal surfaces for planar graphs attaining this bound.

Outerplanar graph

10.48550/arxiv.1709.05309

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Payne–Polya–Weinberger, Hile–Protter and Yang’s Inequalities for Dirichlet Laplace Eigenvalues on Integer Lattices

Journal of Geometric Analysis (2023)

Bobo Hua Yong Lin Yanhui Su

10.1007/s12220-023-01284-z

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Graphs on surfaces with positive Forman curvature or corner curvature

arXiv (Cornell University) (2020)

Yohji Akama Bobo Hua Yanhui Su Haohang Zhang

On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof for the finiteness of the class, and give a complete classification. On the other hand, we classify the class of graphs on surfaces with positive corner curvature.

Negative curvature

10.48550/arxiv.2002.03550

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Infinite Planar Graphs with Non-negative Combinatorial Curvature

Cambridge University Press eBooks (2020)

Bobo Hua Yanhui Su

In this paper, we survey some results on infinite planar graphs with nonnegative combinatorial curvature, related to the total curvature, the number of vertices with positive curvature and the automorphism group.

10.1017/9781108615259.002

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Total curvature of planar graphs with nonnegative combinatorial curvature

Transactions of the American Mathematical Society (2021)

Bobo Hua Yanhui Su

We prove that the total curvature of any planar graph with nonnegative combinatorial curvature is an integral multiple of 1 12 \frac {1}{12} . As a corollary, this answers a question proposed by T. Réti.

Corollary

10.1090/tran/8536

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Citations (3)

The set of vertices with positive curvature in a planar graph with nonnegative curvature

Advances in Mathematics (2018)

Bobo Hua Yanhui Su

10.1016/j.aim.2018.11.022

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Citations (7)

A curvature notion for planar graphs stable under planar duality

Advances in Mathematics (2021)

Yohji Akama Bobo Hua Yanhui Su Lili Wang

Planar straight-line graph

Duality (order theory)

Outerplanar graph

Book embedding

10.1016/j.aim.2021.107731

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Citations (1)

Rigidity of manifolds with Bakry–Émery Ricci curvature bounded below

Geometriae Dedicata (2011)

Yanhui Su Hui-Chun Zhang

Nabla symbol

Riemannian manifold

10.1007/s10711-011-9685-x

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Citations (22)

An Optimized Hybrid Pseudospectral/finite-difference Modeling of TTI Pure P-wave Equation and Reverse Time Migration

Proceedings (2017)

B.W. Li D.L. Wang Jun Zhou Yanhui Su B. L. Hu

Summary In recent years, many scholars have proposed some new seismic numerical simulation methods in tilted transversely isotropic (TTI) media. The purpose of these schemes is to remove the shear-wave artefacts and to make the wavefield stable in media with highly varying dip and azimuth angles. Obviously, some methods will lead to a low speed of calculation. We consider that hybrid pseudo-spectrum and finite difference TTI pure P-wave equation can remove the shear-wave components well. So, we add the optimized operator to improve the fitting degree of the wave number terms, meanwhile make the finite difference terms to eight-order accuracy. This scheme improves the stability of the pure P-wave equation. We convert the equation into a format with one forward FFT and two inverse FFTs. Fewer wavenumber terms and more finite-difference terms can reduce the computational complexity of each time step. In the 2D fault model, numerical simulation is carried out, and reverse time migration imaging is performed with the excitation amplitude imaging conditions. We can conclude that this optimized hybrid pseudospectral/finite-difference scheme can provide stable and accurate seismic data in the complex TTI model.

Finite difference

Seismic migration

Transverse isotropy

10.3997/2214-4609.201701501

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