Asymptotic solvers for ordinary differential equations with multiple frequencies

作     者：CONDON Marissa DEAO Alfredo GAO Jing ISERLES Arieh 

作者机构：School of Electronic EngineeringDublin City University Departmento de MatematicasUniversidad Carlos III de Madrid School of Mathematics and StatisticsXi'an Jiaotong University DAMTPCentre for Mathematical SciencesUniversity of Cambridge 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2015年第58卷第11期

页      面：2279-2300页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11201370 and 11371287) Projects of International Cooperation and Exchanges NSFC-RS(Grant No.1141101162) the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2014JQ2-1006) the Fundamental Research Funds for the Central Universities 

主　　题：highly oscillatory problems ordinary differential equation modulated Fourier expansions multiple frequencies numerical analysis 

摘      要：We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms,focusing on the case of multiple,non-commensurate *** derive an asymptotic expansion in inverse powers of the oscillatory parameter and use its truncation as an exceedingly effective means to discretize the differential equation in *** examples illustrate the effectiveness of the method.