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A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D and 3D lattice dynamical models is developed. This approach is demonstrated for the scalar mod- els on...
We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations which are consistent around the cube and which are not in the multiaf...
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...
波浪场中物质输移离散系数的理论分析     离散系数  纵向离散  非恒定流  波浪       font style='font-size:12px;'> 2014/3/6
海岸水域波浪引起的物质输移扩散存在着不同于水流引起的物质 输移扩散的特征. 通过解析的方法对垂向扩散方程进行求解, 推导出波浪和潮流共同作 用下的海岸水域物质输移离散系数的理论公式. 分析中将总的离散系数分为潮流、质量输移 流、纯波浪波动作用以及潮流与质量输移流、潮流与波浪波动、质量输移流与波浪波动的相 互作用6部分, 通过分析各组成部分特征, 得出海岸水域物质输移中波浪所产生的离散效应 主要是质...
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...
$M$-Shellability of Discrete Polymatroids      Discrete polymatroid  h-vector  Shellability       font style='font-size:12px;'> 2011/1/18
In this note we show that every discrete polymatroid is M-shellable.This gives, in a partial case, a positive answer to a conjecture of Chari and improves a recent result of Schweig where he proved th...
Second order discretization of Backward SDEs      Backward SDEs  Second order  Numerical analysis       font style='font-size:12px;'> 2011/2/28
In [5] the authors suggested a new algorithm for the numerical approximation of a BSDE by merging the cubature method with the first order discretization developed by Bouchard and Touzi [3] and Zhang ...
A coding scheme for the discrete memoryless broadcast channel with {noiseless, noisy, generalized} feedback is proposed, and the associated achievable region derived.
Sieve in expansion      Sieve  expansion        font style='font-size:12px;'> 2011/1/21
This report presents recent works extending sieve methods, from their classical setting, to new situations characterized by the targeting of sets with exponential growth, arising often from discrete...
Let q(x) be real-valued compactly supported sufficiently smooth func-tion. It is proved that the scattering data A( , 0, k) 8 2 S2, 8k > 0, determine q uniquely. Here 0 2 S2 is a fixed direction of...
Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances.
We present an information geometric analysis of quantum entanglement generated by an s-wave scattering event between two minimum uncertainty Gaussian wave packets.
This paper studies the throughput of large-scale decentralized wireless networks with informationtheoretic security constraints.
Many-body quantum-mechanical scattering problem is solved asymptotically when the size of the scatterers (inhomogeneities) tends to zero and their number tends to infinity.
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...

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