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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The spectral collocation method for the nonlocal problem with weak singularity
弱奇点 非局部问题 光谱搭配
2023/5/6
介绍求解一维弱奇异非局部扩散问题的谱配位法，建立了相应的Gauss-Jacobi 积分公式，并将其推广至高维非局部问题的谱配置点法，相关的理论与实验检验了算法的精度和渐进相容性。
Impacts of the Collocation Window on the Accuracy of Altimeter/Buoy Wind Speed Comparison ——A Simulation Study
Altimeter buoy wind speed collocation simulation
2014/12/30
The choice of space and time windows is often a puzzling task in the simultaneous comparison of satellite and in situ observations. In this study, numerical simulations are carried out to examine the ...
小步长低阶Collocation方法轨道积分性能研究
GPS星座 轨道积分 小步长低阶Collocation方法 蚀现象
2014/4/11
介绍了Collocation方法的原理及误差构成，以Collocation方法在逐历元滤波轨道解算中的应用为切入点对小步长低阶Collocation方法轨道积分的性能进行了研究。分别就二体问题及真实GPS星座卫星轨道为对象进行了一系列验算，得到了一些有益结论：就积分方法本身性能而言，Collocation积分方法较传统数值积分法精度要高且稳定性要好；在一定长度的积分步长范围内，将小步长低阶Coll...
ACCURACY ANALYSIS OF HRSI-BASED GEOPOSITIONING USING LEAST SQUARES COLLOCATION
Geopositioning QuickBird Imagery Rational Function Model Stochastic Model Variance Components Estimation Least Squares Collocation
2014/4/25
Rational function model with bias compensation has been widely used in geopositioning of High Resolution Satellite Imagery (HRSI). We studied the geopositioning issue using a pair of QuickBird imagery...
New RBF collocation methods and kernel RBF with applications
New RBF collocation methods kernel RBF applications
2010/10/22
A few novel radial basis function (RBF) discretization schemes for partial differential equations are developed in this study. For boundary-type methods, we derive the indirect and direct symmetric bo...