It changes a coefficient matrix of implicit difference equation into a specific block matrix, and gives complete computation formulas of back substitution.
本文给出一种线性变换,将隐式差分方程的系数矩阵转换成特定的分块矩阵,推导出了完整的回代计算公式,可以更灵活地构造计算方法,并为子结构法提供了理论证明。
The focal point is to construct a new embedding overlapped iterative algorithm for solving one-dimensional implicit difference equations.
主要构造了求解一维隐式差分方程的四点嵌套迭代并行算法 ,并证明了它的收敛性 。
Then a hidden form differential equation is gotten.
在数值计算中 ,应用部分线性法处理非线性非齐次热传导方程 ,得到相应的隐格式差分方程 ,再用追赶法求解隐格式差分方程 ,得出绝热边界条件下的温度的时间和空间分布 ,从而得出激光退火的再结晶厚度。
For solving implicit difference systems of Sine Gordon nonlinear hyperbolic partialdifferential equation,the method of recursive decoupling is presented and discussed.
用递推去耦法解ＳｉｎｅＧｏｒｄｏｎ非线性双曲型偏微分方程的隐式差分方程组。
The Dirichlet problem of implicit partial differential equations;
一类隐式偏微分方程的Dirichlet问题
Then an existence and unique theorem of solution for implicit differential equations without continuous condition in a Banach space are got.
改善和利用Banach空间中方向Lipschitz条件,得到Banach空间中不具备连续条件的隐式微分方程解的存在性和唯一性定理,并介绍一种Banach压缩映象逼近于一般不动点的新的含误差迭代。
Then got an exitence and unique theorem of solution for implicit differential equations without continuous condition in a Banach space.
推广并利用Banach空间中方向Lipschitz条件 ,证明了一类不具连续条件的隐式微分方程的解的存在唯一
By means of the iterative method,we study the theorem of the existence and uniqueness of local solutions of first order implicit differential equation with intial value problem.
本文用迭代法证明了一阶隐式微分方程初值问题局部解的存在唯一性定理 。
Construction of L-Stability Block Methods and Implementation for Implicit Differential Equations
L-稳定块格式及其在隐式微分方程中的实现
Full Implicit Euler Methods for Linear Stochastic Differential Equation
线性随机微分方程的全隐式Euler方法
FULL IMPLICIT EULER METHOD FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
随机延迟微分方程的全隐式Euler方法
Semi-Implicit R-K Methods and Exponential Rosenbrock Methods of Delay Differential Equations;
延迟微分方程的半隐式R-K方法及指数Rosenbrock方法
The Application of Parallel Diagonal Implicit Runge-Kutta Methods for Differential Equations;
并行对角隐式Runge-Kutta算法在微分方程中的应用
How to Accelerate Numeric Algorithm of Implicit Nonlinear Differential Equation;
提高隐式非线性微分方程的数值解算速度
Stability of Implicit-explicit Linear Multi-step Methods for Delay Differential Equation
延迟微分方程隐-显式线性多步法的稳定性
Mean-square Convergence of Balanced Semi-implicit Euler Methods for Neutral Stochastic Pantograph Equations
中立型随机比例延迟微分方程平衡半隐式Euler方法的均方收敛性
MS-stability of the Semi-implicit Milstein Method for the Stochastic Differential Delay Equations with Jumps
带跳随机延迟微分方程半隐式Milstein数值方法的均方稳定性
On Periodic Boundary Value Problems of Second Order Implicit Integro-differential Equation;
二阶隐积分微分方程的周期边值问题
Linear Implicit Difference Scheme for the Generalized Compound KdV Equation;
广义组合KdV方程的线性隐式差分格式
IMPLICIT FINTE DIFFERENCE METHOD FOR INHOMGONEOUS HEAT CONDUCTION EQUATION
非齐次热传导方程的隐式差分方法（Ⅲ）
A TEST OF SPLIT SEMI-IMPLICIT INTEGRATION SCHEME FOR THE BAROTROPIC PRIMITIVE EQUATION MODEL
正压原始方程模式分离半隐式积分方案的试验
An implicit finite difference method for a class of fractional dispersion advection equations
一类分数阶平流—扩散方程的隐式有限差分方法
The Absolutely Stable Implicit Difference Scheme for Solving Paraboh c Equations;
求解抛物型方程绝对稳定隐式差分格式
Implicit difference method for the 3-D unsteady convection diffusion equation
求解三维非定常对流扩散方程的隐式差分方法
The Alternating Group Explicit Iterative Method for the Partial Differential Equation;
偏微分方程的交替分组显式迭代方法
Method and Formula to Extraordinary Solution of Class 1 Mould Function Differential Equation;
一类泛函微分方程求特解方法及公式