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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Splitting Numerical Schemes for Two-dimensional Maxwell-Debye Equations
二维 麦克斯韦-德拜方程组 拆分数值方案
2023/4/27
In this talk, we are interested in designing some efficient numerical methods for Maxwell-Debye equations in metamaterials with negative refractive index. Dimensional splitting method is used to reduc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel conjecture for the torus and the splitting of surgery sets
环面 Borel猜想 外科手术集 分裂
2023/5/10
The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An overlapping domain decomposition splitting algorithm for stochastic NLS equation
随机NLS方程 重叠域 分解拆分 非线性薛定谔方程
2023/4/24
In this talk, we will introduce a novel overlapping domain decomposition splitting algorithm based on a Crank--Nisolson method is developed for the stochastic NLS equation driven by a multiplicative n...
Faster Initial Splitting for Small Characteristic Composite Extension Degree Fields
Discrete Log Finite fields Function Field Sieve Cryptography
2019/3/21
Let pp be a small prime and n=n1n2>1n=n1n2>1 be a composite integer. For the function field sieve algorithm applied to FpnFpn, Guillevic (2019) had proposed an algorithm for initial splitting of the t...
A typical countermeasure against side-channel attacks consists of masking intermediate values with a random number. In symmetric cryptographic algorithms, Boolean shares of the secret are typically us...
Researchers Set New Bar For Water-Splitting,CO2-Splitting Techniques（图）
Researchers New Bar Water-Splitting CO2-Splitting Techniques
2017/9/19
We report iron-containing mixed-oxide nanocomposites as highly effective redox materials for thermochemical CO2-splitting and methane partial oxidation in a cyclic redox scheme, where methane was intr...
Partially Splitting Rings for Faster Lattice-Based Zero-Knowledge Proofs
Lattice cryptography Zero-Knowledge Proofs Ring-LWE
2017/6/6
In this work we show that one can use the optimal challenge sets CC and still have the polynomial Xn+1Xn+1 split into more than two factors. For the most common parameters that are used in such zero-k...
Low cost,scalable water-splitting fuels the future hydrogen economy
Low cost water-splitting fuels future hydrogen economy
2017/7/21
The "clean-energy economy" always seems a few steps away but never quite here. Fossil fuels still power transportation, heating and cooling, and manufacturing, but a team of scientists from Penn State...
SPLITTING TERRACED HOUSES INTO SINGLE UNITS USING OBLIQUE AERIAL IMAGERY
Faç ade Splitting Oblique True Ortho Building Segmentation
2017/7/13
This paper introduces a method to subdivide complex building structures like terraced houses into single house units comparable to units available in a cadastral map. 3D line segments are detected wit...
On Splitting a Point with Summation Polynomials in Binary Elliptic Curves
cryptanalysis summation polynomials algebraic attacks
2016/1/27
Recent research for efficient algorithms for solving the discrete
logarithm (DL) problem on elliptic curves depends on the difficult
question of the feasibility of index calculus which would consist...
Balanced Splitting on Weighted Intervals
Interval splitting Combinatorial optimizations Algorithms Temporal databases Multi-version databases
2016/1/22
We study a problem on splitting intervals. Let I be a set of n intervals on a line L, with non-negative weights. Given any integer k ≥ 1, we want to find k points on L to partition L into k + 1 segmen...
On Power Splitting Games in Distributed Computation: The Case of Bitcoin Pooled Mining
Cryptocurrency block withholding attack distributed computation
2016/1/4
Several new services incentivize clients to compete in solving large computation tasks in exchange for financial rewards. This model of competitive distributed computation enables every user connected...
PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
Rice researchers demo solar water-splitting technology
Rice researchers solar water-splitting technology
2015/9/18
Rice University researchers have demonstrated an efficient new way to capture the energy from sunlight and convert it into clean, renewable energy by splitting water molecules.The technology, which is...