导数估计 meaning in Chinese

derivative estimation

In this dissertation , the numerical solution of singularly perturbed problems for a class of semilinear ordinary equations involving two parameters , a class of elliptic equations with turning points , a semilinear parabolic equation , and a two level semilinear parabolic equation as well as a hyperbolic - parabolic partial differential equation are mainly considered . the bounds on the derivatives of these exact solutions are given . then different difference schemes are constructed for different problems
本论文主要讨论了一类含双参数半线性常微分方程、一类具有转向点的椭圆型方程、半线性抛物型方程、二维半线性抛物型方程和双曲-抛物型偏方程奇摄动问题的数值解,首先给出这些方程解的导数估计,然后对不同问题构造了不同的差分格式,最后我们证明了该差分格式关于小参数一致收敛