| 1. | The numerical stability of implicit euler methods for volterra integral - delay equations
延迟积分方程的数值稳定性 |
| 2. | Asymptotic stability of midpoint euler method for delay differential equations
时滞微分方程中点欧拉法的渐近稳定性 |
| 3. | 2 . relative dynamics equations of spacecraft and docking mechanism for each phase of the docking process are built by newton - euler method
2 .用牛顿-欧拉法分别建立了对接过程各阶段的相对动力学方程。 |
| 4. | Nonlinear electric field transient finite element equation is performed based on the backward euler method and the variational principle
摘要基于后退欧拉法和变分原理推导了非线性电场的暂态有限元方程。 |
| 5. | Theoretical analysis and numer - ical experiments show that bdf method of order two is indeed superior to the commonly used backward euler method and crank - nicolson scheme
理论分析和数值试验表明该方法明显优于以往常用的向后euler法及grank - nicolson格式。 |
| 6. | Only the euler method is popular and efficient among the numerical methods for the stochastic delay differential equations , but its order of convergence is only 1 / 2
摘要随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。 |
| 7. | By valuing six american put options , the numerical experiment and analysis show that the euler method with fft is a fast and highly accurate numerical method
在数值实验中，对六个美式看跌期权价格进行了计算，通过分析比较，结果表明：快速傅里叶变换法加欧拉法是一种快速的高精度的数值计算方法。 |
| 8. | The transient responses of saw motor under different working conditions are simulated by the euler method , and many factor that affect the motion of the saw motor are introduced
并用euler数值计算方法对不同工作条件下的表面弹性波马达暂态响应做了仿真，揭示了各种因素对表面弹性波马达运行的影响。 |
| 9. | For a class of special stochastic delay differential equations , i . e . the stochastic delay differential equation with small noise , the exacter order of convergence is obtained and it shows that the euler method nearly converges with the order 1
针对一类特殊的方程即小噪声随机延迟微分方程，给出其欧拉方法更精确的收敛阶，表明欧拉方法是近似1阶改敛的。 |
| 10. | Two - order enhanced un - split finite volume euler method for multi - fluid flow , which combines the roe approximate riemann solver , is developed to simulate the multi - fluid interactions , such as the fluid described by polynomial eos , stiffen gas eos , jones - wilkins - lee ( jwl ) gaseous explosive eos , cochran - chan ( cc ) solid explosive eos and hom shock wave eos , etc . numerical results of the id , 2d and 3d multi - fluid interaction examples show that the high - resolution method and interface capturing equations can resolve the multi - fluid flow correctly and successfully . a simple fluid - mixture type ppm algorithm for multi - fluid flow , which is based on vof interface capturing method and resolved by langange / remap two steps , is developed to simulate the high density or high pressure ratio flow at both sides of the interface
本文提出了实用于多介质流体的增强型二阶精度有限体积欧拉数值计算方法，采用roe方法近似求解riemann问题，可以适用于多项式状态方程、 “ stiffengas ”状态方程、 jones - wilkins - lee爆轰产物状态方程、 cochran - chan固体炸药状态方程以及hom状态方程等，并对多介质流体相互作用的一维、二维、三维问题进行数值计算，数值验证了本文给出的高精度差分格式和界面捕捉方法的正确性，两种方法耦合形成的多介质流体数值计算方法是成功的。 |
