搜索结果: 1-15 共查到“知识库 积分方程”相关记录274条 . 查询时间(4.578 秒)
声波层状介质问题的PML积分方程方法
声波 层状介质 PML积分方程
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2023/12/13
Based on the perfectly matched layer (PML) technique, this paper develops a highly accurate boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media i...
时域波动方程问题的多重散射积分方程算法
时域波动方程 多重散射 积分方程算法
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2023/12/13
This paper proposes a frequency-time hybrid solver for the time-dependent wave equation in two-dimensional interior spatial domains. The approach relies on four main elements, namely, (1) A multiple s...
This work proposes an accurate hyper-singular boundary integral equation method for dynamic poroelastic problems with Neumann boundary condition in three dimensions and both the direct and indirect me...
三维多孔弹性波问题的正则化超奇异积分方程方法（殷涛）
三维多孔 弹性波问题 正则化 超奇异积分方程
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2023/2/22
This work proposes an accurate hyper-singular boundary integral equation method for dynamic poroelastic problems with Neumann boundary condition in three dimensions and both the direct and indirect me...
二维可压缩Navier-Stokes方程在柯西问题下允许真空大初值光滑解的整体适定性
Navier-Stokes方程 二维可压缩 柯西问题 真空大初值 光滑解 整体适定性
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2023/1/5
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
具有Pfaffian结构的Hermite-Pade逼近以及相关的Novikov尖峰孤子系统和可积格子方程
Pfaffian结构 Hermite-Pade逼近 Novikov尖峰孤子系统 可积格子方程
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2023/1/5
Motivated by the Novikov equation and its peakon problem, we propose a new mixed type Hermite–Padé approximation whose unique solution is a sequence of polynomials constructed with the help of Pfaffia...
关于任意大初值下的二维全空间等熵可压缩Navier-Stokes方程组的整体光滑解
任意大初值 二维全空间 等熵可压缩 Navier-Stokes方程组 整体光滑解
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2023/1/5
The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum as far field density is considered. When the shear viscosity is a positive co...
Maxwell特征值问题的两水平预处理Helmholtz-Jacobi-Davidson方法
Maxwell特征值 水平预处理 Helmholtz-Jacobi-Davidson方法
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2023/1/5
In this paper, based on a domain decomposition (DD) method, we shall propose an efficient two-level preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic eigenvalue problem ...
半空间中Boltzmann方程镜面反射边值问题的Hilbert展开
半空间 Boltzmann方程 镜面反射边值 Hilbert展开
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2023/1/5
Boltzmann 方程是统计物理中的基本方程，被用来描述稀薄气体的运动规律。Boltzmann方程到可压缩Euler方程的流体动力学极限的研究最早可追溯到Maxwell和Boltzmann，是著名的Hilbert第六问题的主要内容之一。 Hilbert于1912年提出了Boltzmann方程的Hilbert展开，从形式上说明了Boltzmann方程的一阶近似是可压缩Euler方程。此后，从数学上...
力学和数学中的“调和”释义
调和方程 调和级数 简谐振动
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2019/3/12
力学的教学过程中经常涉及``调和''这个概念,其与数学基础理论和力学应用紧密联系,了解该概念的本义与延伸,可以帮助学生更恰当准确地理解和掌握相关知识点。本文将力学学习过程中经常遇到的多个与``调和''有关的名词联系起来,给出了详细的解释,并示例应用,有助于相关知识点的教学活动。
复多重维纳—伊藤积分的乘法公式和独立性
复多重维纳—伊藤积分 乘法公式 Ű stŰ nel-Zakai准则
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2018/2/6
本文给出复多重维纳—伊藤积分的一个乘法公式. 作为应用, 本文证明了复多重维纳—伊藤积分独立性的ŰstŰnel-Zakai准则.
不可约单项式理想乘积的Castelnuovo-Mumford正则度
Castelnuovo-Mumford正则度 完全交 理想的乘积
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2019/4/18
对于域k上多元多项式环k[x1,…,xn]中不可约单项式理想I、J、K和L，证明reg（IJKL）≤reg（I）+reg（J）+reg（K）+reg（L）.
Third-order 2D Central Schemes for Hyperbolic Conservation Laws
Two-dimensional framework system the law of conservation of two-dimensional euler equation the high resolution
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2015/10/8
We extend a one-dimensional central-scheme first introduced by Liu and Tadmor, to the rather general framework of two-dimensional systems of conservation laws. This scheme is based on a two-dimensiona...
PIECEWISE SMOOTH PERTURBATIONS OF INTEGRABLE SYSTEMS
INTEGRABLE SYSTEMS PERTURBATIONS
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2015/9/29
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...
Curvelets and Curvilinear Integrals
Wavelets Curvelets Ridgelets
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2015/8/21
Let C(t) : I 7! R2 be a simple closed unit-speed C2 curve in R2 with normal ~n(t). The
curve C generates a distribution ¡ which acts on vector ˉelds ~v(x1; x2) : R2 7! R2 by line
integration ac...