间断解

含激波跨声速S2流面反问题的椭圆型方程间断解

Shock embedding discontinuous solution of elliptic equation for inverse problem of transonic s_2 flow

第二部分，给出弱间断解的定义并对其性质进行研究。

In the second part , we give the definition of weakly discontinuous solution and study its properties .

Euler方程间断解的自动捕捉技术

Automatically capturing technique of discontinuous solution of Euler equations

拟线性双曲方程组一类广义Riemann问题的整体间断解

Global Discontinuous Solutions to a Class of Generalized Riemann Problems for Quasilinear Hyperbolic Systems

带第二声速的半线性热弹性力学方程组的间断解&变系数情况的Cauchy问题

Asymptotic Behavior of Discontinuous Solutions to the Semi-linear Thermoelastic Systems with Second Sound & Cauchy Problem to the Case of Variable Coefficients

线性对流方程间断解的Lax，Friedrichs格式的精度

On Accuracy of Lax-Friedrichs Scheme for Discontinuous Solutions of Convection Equations

TVD格式计算一维Euler方程间断解存在的几个理论问题

Some Theoretical Problems on TVD Schemes for Computation of One-Dimensional Euler Equations

间断解问题的有限体积法

Finite volume methods for solving the problem of discontinuous solution

一类非线性常微分方程整体解和间断解的存在问题一种间断解方法&离散加权黎曼法

Existence problem of global and discontinous solutions for a class of nonlinear ordinary differential equation A Discontinuities Solution Method-Discrete Weighted Riemann Method

文中证明了非线性热传导方程只能有连续解，不可能存在间断解。

In this paper , the author proves that , for a non-linear heat conduction equation , there is no discontinuous solution .

计算结果与已有文献结果基本一致，证明该方法有效、稳定，能够模拟浅水长波方程中的间断解问题。

The numerical results agree with those of available literatures and show that the method is robust and stable for getting the discontinuous solutions of the shallow water wave equation .

它能数值求解间断解和复杂的光滑结构相互作用的数学问题，能保证在数值计算中实现磁场的无散条件，从而能模拟激波进入磁云的物理图像。

The numerical model can numerically solve the mathematical problem of interaction between a sharp discontinuity and a complicated smooth structure , guarantee the divergence-free condition of magnetic field in numerical computation .

通过间断解的分离，本文将径向多裂纹柱体的扭曲函数用两个调和函数表示，使问题归为解一组混合型积分方程。

Separating the discontinuous solution , the warping function of a cylinder with several radial cracks is expressed by two harmonic functions , then the torsion problem is reduced to solving a set of mixed-type integral equations .

在第五章，对美式障碍期权满足的定价模型进行奇性消除，使之转化成一个没有间断解的新模型。

At the former part of the fifth chapter , the singularity in the pricing model of the American barrier option is removed , as a result of which the original model is transformed into the new one without discontinuity solution .

但对于一些有间断解或大梯度解的问题，均匀网格比较浪费计算资源，从而可以根据偏微分方程的解的特点求得高精度数值解的自适应网格方法是一种很有效的工具。

But for some problems with solution of discontinuity or large gradient , uniform mesh will waste computing resources greatly , so that adaptive mesh method which can achieve high accurate numerical solution on the basis of the character of the PDE is an effective tool .

二维浅水波方程的间断周期解和间断孤立波解讨论

On Discontinuous Period Solution and Discontinuous Solitary Wave of Two-Dimension Shallow Water Equation

在单元上构造了新的局部化的离散Green函数，证明了间断有限元解的丰满阶最大模估计。

First , through constructing a new local discrete Green function , we prove the highest order maximum norm estimation of the solution of discontinuous finite element methods ;

利用Jacobi椭圆函数的有限展开找到了组合KdV方程和二维KdV方程新的精确周期解，而且这些周期解中包含了钟型孤立波解，扭结型孤立波解以及间断型激波解。

A finite Jacobi elliptic function expansion method is applied to construct the new exact periodic solutions of the combined kdv equation and KP equation . The periodic solutions include the solitary wave solutions .

提出了一种限制网格单元内梯度值大小的单调性约束条件，以减少间断附近数值解的振荡。

A new monotonicity limiter algorithm is presented , particularly suited for unstructured grid applications , so as to constrain the interpolated values on either side of the interface by imposing a monotonicity coefficient on the gradient of each cell .

本文建立了解析函数在上半平面和上半圆内一般间断边值问题解的表示式，并给出这些表示式在非线性椭圆型复方程中的应用。

In the present paper , the authors establish the representations of the general discontinuous boundary value problem for analytic functions in the upper half plane and upper half disk . Moreover the authors give their applications to some nonlinear elliptic complex equations .

提出了在间断期间应用数学解算原理，求解目标方位的数学导引头方案，并以此方案与半主动寻的导引头交替工作的方式，解决半主动寻的制导问题。

It puts forward the project of the mathematic seeker which uses the mathematic calculation 's principle to get the target 's position during illuminating , and solves the problem of semi active homing guidance by the way in which the project and semi active homing seeker work alternatively .

引入椭球坐标系后，得到了均布载荷作用下未知位移间断和电势间断的解析解。

The ellipsoidal coordinates are introduced to solve the unknown displacement and electric potential jumps in the integral equations under uniform loading .

常微分方程和偏微分方程的数值解具间断右端的常微分方程与一阶准线性双曲型偏微分方程的间断解

The ordinary differential equations with discontinuous right member and the discontinuous solutions of the Quasilinear Partial Differential Equations