本文研究双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
In this paper, we investigate the artificial boundary conditions and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems.
第一部分，研究无界外区域双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
Part I, the artificial boundary condition and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems on unbounded domains is studied.
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.
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.
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.
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.
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.
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.
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