研究三维双曲型方程组的完全守恒差分格式。
The completely conservative difference scheme for hyperbolic differential equations in three dimensions is studied.
研究具有变动边界的三维区域上的非线性双曲型方程的初边值问题。
The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
对于所给的双曲型方程组，经特征变换变成了便于作数值计算的形式。
The form of the equations has been changed with feature transformation so as to calculate conveniently.
考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。
Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.
考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。
In this paper, the nonexistence of global solutions to a semi-linear Kirchhoff equation with dynamic boundary conditions is considered.
本文针对一维和二维双曲型方程的初边值问题，设计了几类高效率串行格式和并行算法。
In this paper, I design a series of high-efficiency serial schemes and parallel algorithms for one-dimension and two-dimension hyperbolic equation.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。
The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.
在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。
A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
研究了一类边界条件下中立型脉冲双曲方程解的振动性，得到了每个非零解振动的若干充分条件。
In this paper, the oscillation properties of solutions under a kind of boundary conditions for impulsive hyperbolic differential equation of neutral type are studied.
研究一类具有连续分布滞量的非线性中立型双曲方程解的振动性质。
To study the oscillatory of solutions to a class of nonlinear neutral hyperbolic differential equation with continuous distributed delay.
但由于可压缩非定常位势流动的控制方程是双曲型的，简单地把时间当作同空间一样的物理维来求解是不可行的。
Because the governing equations for compressible unsteady potential flow is hyperbolic, looking time dimension as space dimension in the same way is never appropriate.
本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。
The initial boundary value problem and initial value problem for the semilinear pseudo-hyperbolic integrodifferential equation are considered.
本文研究一类拟线性双曲—抛物型方程具有非线性初边值条件的奇摄动问题。
This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions.
传输线可以看作集中参数二端口网络的级联，其数学模型—电报方程是一阶双曲型偏微分方程组。
Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations.
考虑一类中立型时滞双曲微分方程，得到了该方程振动的一个充分条件。
The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.
本文对考虑容积吸收及对流换热的影响后双曲型热传导方程的计算结果进行了分析。
This paper analyzes the calculation results of the hyperbolic heat conduction formula with considering volume absorption and convection heat transfer.
多年以来，近似双曲型守恒律方程的严格单调差分格式的离散激波的渐近稳定性一直被普遍认为已经得到解决。
For the strictly monotonic schemes approximating single hyperbolic conservation laws, the asymptotic stability of the discrete shocks is widely believed to have been worked out.
基本的方法是以双曲型偏微分方程组的简单波解为根据的。
The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.
关于双曲型偏微分方程式差分逼近的双边值问题的G.K.S。稳定性。
The G. K. S. Stability of the Hyperbolic Difference Approximation with Two Boundaries Initial-Value Problems.
之后，将格式按分量形式推广到二维非线性双曲型守恒方程组。
The extension to the two-dimensional nonlinear hyperbolic conservation law systems is straightforward by using component-wise manner.
该模型由描述系统振动的双曲型偏微分方程组及相应的边界条件和周期性条件组成。
This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.
数值计算的结果表明，该数值模型可有效地应用于双曲型缓坡方程的数值求解。
The numerical results show that the numerical model used in the paper can be effectively used in the numerical simulation of the hyperbolic mild slope equation.
本文建立一类中立型双曲方程边值问题解的振动准则。
In this paper some oscillation criteria are established for solutions of a class of neutral hyperbolic boundary value problems.
研究了一类中立型双曲型泛函微分方程边值问题，得到了判定解是振动的新的方法，推广了已有的结果。
In this paper the boundary value problem for a neutral hyperbolic differential equation is studied. A new method for judgement of oscillation solution is obtained and is spreded known results.
利用微元段内的物料与热量平衡，对固定化酶管式热敏传慈器进行了考察，建立了用联立双曲型偏微分方程组描述的数学模型。
By means of the material and energy balances, this paper establishes a mathematical model to describe the tubular hot-sensitive sensor with immobilized enzyme.
利用微元段内的物料与热量平衡，对固定化酶管式热敏传慈器进行了考察，建立了用联立双曲型偏微分方程组描述的数学模型。
By means of the material and energy balances, this paper establishes a mathematical model to describe the tubular hot-sensitive sensor with immobilized enzyme.
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