Parameter Optimization in the Regularized Shannon's Kernels of Higher-Order Discrete Singular Convolutions

• المؤلفون الرئيسيون: XIONG, Wei, ZHAO, Yibao, GU, Yun
• التنسيق: text
• اللغة: English
• منشور في: Institutional Knowledge at Singapore Management University 2003
• الموضوعات: Discrete singular convolutions; Energy minimization; Numerical differentiators; Objective functions; Parameter optimization; Regularized Shannon's kernels; Physical Sciences and Mathematics
• الوصول للمادة أونلاين: https://ink.library.smu.edu.sg/lkcsb_research/929; https://ink.library.smu.edu.sg/context/lkcsb_research/article/1928/viewcontent/Parameter_optimization_Shannon_2003.pdf

The δ-type discrete singular convolution (DSC) algorithm has recently been proposed and applied to solve kinds of partial differential equations (PDEs). With appropriate parameters, particularly the key parameter r in its regularized Shannon's kernel, the DSC algorithm can be more accurate than...