因此，巴比伦的方法是数值稳定的，而方法X是数值不稳定。
Hence, the Babylonian method is numerically stable, while method X is numerically unstable.
对于高q引起的数值不稳定性，通过引入平滑函数得以解决。
A smooth function has been introduced to solve the problem of instability caused by high value of Q.
动量方程、三温方程组采用分裂法求解，以克服强耦合非线性可能引起的数值不稳定性。
The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations.
从偏微分方程反问题的角度解释了结构拓扑优化中棋盘格式、网格依赖性等数值不稳定现象的本质。
Form the point view of inverse PDE, the essence of numerical instabilities in the topology optimization is given, including checkerboard pattern and mesh-dependence.
针对RLP算法的数值不稳定性，基于拟牛顿优化方法，提出了一种稳健的自适应FIR滤波算法。
A robust adaptive algorithm for FIR filters based on the quasi-Newton class of optimization methods is derived, which can be regarded as the improvement of RLP algorithm on the problem of stability.
但氡子体影响、系统噪声造成的数值不稳定、剂量率具有周期性的变化均会使数据出现波动从而造成无效的报警。
However, the radon and thorium daughters effects and the system noise and their periodic changes will result in fake alarm.
而且这也要求美联储对于它所估计的自然失业率数值有足够的信心——这是在测量众所周知的不稳定的数值。
And it would require the Fed to have a lot of confidence in its estimate of the natural unemployment rate, a notoriously slippery thing to measure.
建立了各种边界条件下考虑井筒储存效应和表皮效应的非线性不稳定渗流数学模型，并用数值法对其求解。
The nonlinear mathematical models with wellbore storage and skin effects under several boundary conditions were established and solved by using numerical methods.
数值模拟显示，利用色散缓变光纤中的调制不稳定性可以产生高重复率的基本孤子脉冲串。
The numerical simulation also shows that fundamental soliton pulses with high repetition rate can be generated in this kind of fiber by modulation instability.
数值模拟是惯性约束聚变内爆中流体不稳定性研究的主要方法。
Computational simulations are the main method to study fluid instability during an implosion in inertial confinement fusion.
采用离散旋涡法对振荡叶栅传播失速不稳定流场进行了数值模拟。
The unsteady flow in an oscillating cascade with propagating stall was simulated numerically with discrete vortex method.
用理论和数值的方法，首次研究了扭摆器中相干同步辐射效应诱发的微束团不稳定性。
We studied the microbunch instability in wigglers induced by coherent synchrotron radiation (CSR) theoretically and numerically for the first time.
输油管道中油品的不稳定流动问题，可以采用各种数值法并借助计算机进行有效分析。
The unsteady flow in oil pipeline can be effectively analysed by use of different numerical methods as well as computers.
但是FTF算法具有众所周知的数值性能不稳定性，该问题在用有限字长定点实现时变得尤为明显。
Numerical unstability of FTF algorithm becomes conspicuous especially when the algorithm is implemented by the finite-word-length fixed-point arithmetic.
通过建立包含扰动和基流方程组的数值模式，全面讨论了扰动与对称不稳定纬向基流的相互作用。
In a numerical model especially set up in the work that includes disturbance and basic flows, the interactions between disturbances and symmetric instability are discussed comprehensively.
对工业燃气轮机所使用的典型贫油预混燃烧室内的不稳定燃烧特性进行了数值研究。
Combustion instability in a lean premixed combustor typically used in industrial gas turbines was studied with computational fluid dynamics technology.
数值分析结果表明：夹沟矿采空区的顶板是不稳定的，顶板岩体容易发生垮落事故。
The results of numerical analysis on mined-out area indicate that the roof at mined-out areas is unstable and the rock in the roof is easy to collapse in this mine.
数值计算结果表明：在反常色散范围内，光孤子的放大是不稳定的。
The numerical results show that the amplification of optical solitons is unstable in the anomalous dispersion regime.
流线模型不存在数值弥散和不稳定性，比传统的数值模拟速度快，允许节点多。
The streamline model overcomes the numerical dispersion and instability, is faster than the conventional numerical simulation and allows for more nodes.
最后对回旋波色散关系进行了数值计算，得到了不稳定性判据和引起不稳定性的最佳值。
Finally, the numerical results are given for the dispersion relation of cyclotron waves, the criterion for this instability and the optimum value for generating it has been obtained.
采用计算燃烧学的方法对发动机燃烧室内的湍流两相燃烧过程的稳定燃烧状态和高频不稳定燃烧现象进行了数值模拟。
The two phase turbulent combustion steady process and high combustion instability in the liquid rocket engine are simulated with the method of computational combustion dynamics.
利用频响函数识别复频率模态质量存在着严重的数值计算不稳定性，给物理参数的识别造成困难。
The severe numerical instability in complex frequency modal mass identification from frequency response function makes it difficult to identify physical parameters.
为了解决滤波器数值计算不稳定问题，实践中提出并应用了许多方法，如自适应滤波、固定增益滤波、平方根滤波等。
To deal with filter value calculation instability, people put forward and carry out lots of methods in practice such as self-adaptive filter, fixed amplitude filter and square root filter, etc.
两相流不稳定性理论分析方法可以分为两大类：一类是数值解析法，另一类是近似分析法。
Theoretical approach of two-phase flow instability can be divided into two categories: numerical analysis and approximation analysis.
通过数值求解线性化的方程组我们得到了特征频率和不稳定的增长率。
Eigenmodes and growth rates are obtained by numerical integration of the linearized equations.
但是短程线主动轮廓模型的能量函数及其解法存在很多局限性，如数值计算的不稳定性和控制点存在不收敛的可能性等等。
Nonetheless, the energy function of the GACM and its solving algorithm has many restrictions, such as instability of numerical computation, probability of divergence of control points.
数值计算结果表明，顺压梯度有明显的延缓转捩作用，逆压梯度有较强的不稳定作用。
The numerical calculation results show that the favorable pressure gradients have apparent laminar flow control property, and the unfavorable pressure gradients have a strong unstable influence.
用解析方法和数值方法在理论上研究了光折变晶体中的稳态矢量空间光孤子及有偏压光伏光折变晶体中光束的调制不稳定性；
The steady state vector spatial solitons in photorefractive crystals and the modulation instability in biased photorefractive-photovoltaic crystals are studied by both analytic and numerical methods.
建立了液体火箭发动机切向不稳定燃烧数值分析模型并进行了初步分析。
A numerical model was employed to analyze the tangential combustion instability in liquid rocket engine.
采用数值模拟的方法对液体火箭发动机燃烧室内湍流两相流动与燃烧过程进行了分析，同时研究了燃烧室内高频不稳定燃烧现象。
Turbulence two phase flow and combustion process in a liquid rocket engine combustor are analyzed with numerical method, and combustion instability is also studied.
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