搜索结果: 1-15 共查到“计算数学 o.d.e. systems”相关记录40条 . 查询时间(0.093 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：3D Fracture Development Analysis with A Modified XFEM
XFEM 三维裂缝 发育分析
2023/11/6
扩展有限元法(XFEM)是目前裂纹分析的主流数值方法。2009年起，ABAQUS、ANSYS等主流商业软件集成XFEM并应用于裂纹问题，标志着该方法被工业界广泛接受。然而，在实际应用中XFEM仍然受到两方面的困扰：总体方程高度病态和动力学计算时能量难以守恒。基于“困难的根源在于单位分解插值引入的额外自由度”这一判断和认识，我们提出了一种无额外自由度的改进型扩展有限元方法，有效解决了现有方法总体刚度...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
微通道 电渗流FEM 无条件稳定性 误差估计
2023/5/15
In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density ρe. A time-di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The regularity with respect to domains of the additive eigenvalues of super-quadratic Hamilton-Jacobi equation
超二次 哈密尔顿-雅可比方程 加性特征值域 规律性
2023/4/27
Viewingtheadditiveeigenvaluesasamapwithrespecttodomainperturbationbyscal- ing, we show that this map enjoys some regularity. Precisely, let c(λ) be the additive eigenvalue with respect to (1 + r(λ))Ω,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Learning Quantum Observables of Low Degrees from a Logarithmic Number of Random Queries
对数 随机查询 低次量子 可观察量
2023/4/14
A fundamental problem from computational learning theory is to well-reconstruct an unknown function on the discrete hypercubes. One classical result of this problem for the random query model is the l...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On cancellation laws in cardinal arithmetic without the axiom of choice
选择公理 基数算术 取消定律
2023/4/17
We survey known results concerning cancellation laws in cardinal arithmetic without the axiom of choice. These results include the cancellation law for Dedekind finite cardinals in cardinal addition a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The distribution on periods of the continued fraction of $\sqrt{d}$
$sqrt{d}$ 连续分数 周期
2023/4/18
The continued fraction is a very old and classical object. Its period is closely related to the solubility of the Pell equations, and also to the class group of quadratic fields. Last year, Koymans an...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：分数阶微分方程的快速算法介绍
分数阶 微分方程 快速算法
2023/4/26
报告给出分数阶微分方程的快速L1格式的计算公式，通过采用广义离散Gronwall不等式，证明快速L1格式与L1格式的误差与时空步长无关，可以任意小。该证明方法比较简单，可以简化分数阶微分方程快速算法的收敛性分析。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The core-shell obstacle scattering in a multilayered medium
多层介质 核壳障碍物 散射 边界积分方程
2023/4/26
Scattering from the coated targets embedded in a multilayered medium has attracted much interest during recent years for extensive applications, such as sea radar target detection and underwater radar...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：D-finite Functions
D-finite Functions D 有限函数 有理函数系数 齐次线性微分方程
2023/4/27
D-finite functions are solutions of homogeneous linear differential equations with rational function coefficients. This is an important class of special functions since it appears ubiquitously in alge...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：PAC方法与计算思维
PAC方法 计算思维 Bloom分类
2023/4/28
计算思维是并列于逻辑思维和实证思维的三大科学思维之一，具有独特的观察世界和解决问题的模式。报告从一个具体例子，即大数据集中最大元素的筛选算法的介绍，讨论了PAC方法背后的计算思维内涵，特别是如何从计算角度看待和认知世界，以及通过计算解决问题的特点。同时讨论了计算思维赋能的三个阶梯，及其与Bloom分类中六个层次的关系.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：页岩基质中渗流与破裂过程的微观机理及其数值模拟方法
页岩基质 渗流 破裂过程 微观机理 数值模拟方法
2023/5/5
The production of oil and gas from organic-rich shale formations has changed the worldwide economy and energy outlook. Although extensive research on macroscopic behaviors in shale has been carried ou...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：当计算遇到极地的冰
计算 极地 冰 “双碳”背景 气候变
2023/5/8
当前“双碳”背景下，由气候变化导致的水资源、生态、灾害问题凸显。“气候变暖冰先知”，三极（南极、北极和青藏高原）的冰量变化直接关系着下游水资源和海平面的上升，对当地生态环境、社会经济和灾害预防有着重要影响。如何用科学计算手段准确模拟极地冰盖和山地冰川的运动和变化，是当前气候系统模拟当中的重大科学问题。报告人将结合野外科考经历，回顾冰流动力模拟的历史，介绍当前国际冰川和冰盖数值模拟的现状，并探讨未来...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements III: Disconnection probabilities for random interlacements
随机交错 大偏差 随机交错 断开概率
2023/5/8
In this lecture, I will discuss how ``tilted interlacements’’ and ``solidification of porous surfaces’’, two specific realizations of the change-of-measure and coarse graining ideas respectively, prod...
International Conference on Statistical Properties of Nonequilibrium Dynamical Systems
certain general types of stochastic deterministic dynamical systems
2016/7/18
The International Conference on Statistical Properties of Nonequilibrium Dynamical Systems will be held in the South University of Science and Technology of China (SUSTC) in Shenzhen, China, from July...
Hohenberg-Kohn Theorem for Coulomb Type Systems and Its Generalization
Coulomb system density functional theory electronic structure FundamentalTheorem of Algebra Hohenberg-Kohn theorem
2012/8/10
Density functional theory (DFT) has become a basic tool for the study of electronic
structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in
the development of DFT. Unfor...