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山东大学数学学院研究生舒希超《Non-linear Hamilton cycles in linear quasi-random hypergraphs》论文被国际顶级会议SODA录用（图）
山东大学数学学院 舒希超 理论计算机
2020/10/12
近日，数学学院2019级硕士研究生舒希超收到了来自理论计算机领域顶级会议SODA（ACM-SIAM Symposium of Discrete Algorithms）的论文录用信。舒希超与美国罗德岛大学的韩杰研究员和山大数学学院的王光辉教授合作的论文《Non-linear Hamilton cycles in linear quasi-random hypergraphs》将发表在2021年1月的...
Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Partial difference equation Non-linear Cardiac dynamics Singular perturbation method Spatial bifurcations
2015/8/27
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
On a fully non-linear elliptic PDE in conformal geometry
Fully nonlinear PDE generalized Yamabe problem
2014/4/3
We give an expository survey on the subject of the Yamabe-type problem and applications. With a recent technique in hand, we also present a simplified proof of the result by Chang-Gursky-Yang on...
A LARGE DATA REGIME FOR NON-LINEAR WAVE EQUATIONS
A LARGE DATA REGIME NON-LINEAR WAVE EQUATIONS
2018/4/19
For semi-linear wave equations with null form non-linearities on R3+1, we exhibit an open set of initial data which are allowed to be large in energy spaces, yet we can still obtain global solutions i...
Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles
Asymptotics the critical non-linear wave equation non star-shaped obstacles Analysis of PDEs
2012/6/14
Scattering for the energy critical non-linear wave equation for domains exterior to non trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we extend the scattering f...
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
An adaptive sequential optimum design for model selection and parameter estimation in non-linear nested models
D-optimality KL-optimality DKL-optimality log-likelihood ratio test stochastic convergence sequential optimum design
2011/10/9
Abstract: This work propose a sequential procedure which is useful to select the best model among several nested non-linear models and to estimate efficiently the parameters of the chosen model. At ea...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic Discrete Non Linear Schrö dinger equation
2011/3/2
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12] we can construct high order numerical schemes, that re...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic integrators Discrete Non Linear Schrö dinger equation
2010/12/28
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12]we can construct high order numerical schemes, that res...
Symmetries of Non-Linear Systems: Group Approach to their Quantization
Symmetries of Non-Linear Systems Group Approach Quantization
2011/2/22
We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework.