The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presente...The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.展开更多
经济增长问题在宏观经济理论研究中占有重要地位,是国家经济繁荣昌盛的一个前提。经济增长能推动跨境电商的发展且有效激发市场主体,跨境电商的发展同样为经济的增长做出了很大贡献,由此产生了各种经济增长模型和理论。在当今跨境电商...经济增长问题在宏观经济理论研究中占有重要地位,是国家经济繁荣昌盛的一个前提。经济增长能推动跨境电商的发展且有效激发市场主体,跨境电商的发展同样为经济的增长做出了很大贡献,由此产生了各种经济增长模型和理论。在当今跨境电商快速发展的背景下,研究线性经济发展系统的解的方法尤为重要。故研究了混合Filon渐近方法,该方法旨在解决一类经济系统模型的求解问题。最后通过实验验证了该方法的有效性,为经济决策提供了有效的帮助。The issue of economic growth holds a significant position in macroeconomic theory research and serves as a prerequisite for a country’s economic prosperity. Economic growth not only propels the development of cross-border e-commerce but also effectively stimulates market entities. Conversely, the development of cross-border e-commerce has made substantial contributions to eco-nomic growth. This interplay has led to the emergence of various economic growth models and theories. In the context of the rapid development of cross-border e-commerce today, it is particularly important to study the solutions for linear economic development systems. Therefore, the hybrid Filon asymptotic method has been researched, which addresses the issue of how to solve a class of economic system models. Finally, experimental results have verified the effectiveness of this method, providing valuable assistance for economic decision-making.展开更多
基金Projects(02JJY2006, 03JJY2001) supported by Natural Science Foundation of Hunan Province project supported by JSPS Fellowship Research Program
文摘The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.
文摘经济增长问题在宏观经济理论研究中占有重要地位,是国家经济繁荣昌盛的一个前提。经济增长能推动跨境电商的发展且有效激发市场主体,跨境电商的发展同样为经济的增长做出了很大贡献,由此产生了各种经济增长模型和理论。在当今跨境电商快速发展的背景下,研究线性经济发展系统的解的方法尤为重要。故研究了混合Filon渐近方法,该方法旨在解决一类经济系统模型的求解问题。最后通过实验验证了该方法的有效性,为经济决策提供了有效的帮助。The issue of economic growth holds a significant position in macroeconomic theory research and serves as a prerequisite for a country’s economic prosperity. Economic growth not only propels the development of cross-border e-commerce but also effectively stimulates market entities. Conversely, the development of cross-border e-commerce has made substantial contributions to eco-nomic growth. This interplay has led to the emergence of various economic growth models and theories. In the context of the rapid development of cross-border e-commerce today, it is particularly important to study the solutions for linear economic development systems. Therefore, the hybrid Filon asymptotic method has been researched, which addresses the issue of how to solve a class of economic system models. Finally, experimental results have verified the effectiveness of this method, providing valuable assistance for economic decision-making.
