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两类新的指数 Runge-Kutta 积分器，用于高效解决僵硬系统或高度振荡问题

IF 1.7 4区 数学 Q2 MATHEMATICS, APPLIED
International Journal of Computer Mathematics Pub Date : 2023-12-11 DOI:10.1080/00207160.2023.2294432
Bin Wang, Xianfa Hu, Xinyuan Wu
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引用次数: 0

摘要

我们注意到一个事实，即具有高度振荡解的刚性系统或微分方程无法用传统方法高效求解。在本文中，我们研究了两类新...
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Two new classes of exponential Runge–Kutta integrators for efficiently solving stiff systems or highly oscillatory problems
We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study two new classes o...
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来源期刊
International Journal of Computer Mathematics
International Journal of Computer Mathematics 数学-应用数学
CiteScore
3.60
自引率
0.00%
发文量
72
审稿时长
5 months
期刊介绍： International Journal of Computer Mathematics (IJCM) is a world-leading journal serving the community of researchers in numerical analysis and scientific computing from academia to industry. IJCM publishes original research papers of high scientific value in fields of computational mathematics with profound applications to science and engineering. IJCM welcomes papers on the analysis and applications of innovative computational strategies as well as those with rigorous explorations of cutting-edge techniques and concerns in computational mathematics. Topics IJCM considers include: • Numerical solutions of systems of partial differential equations • Numerical solution of systems or of multi-dimensional partial differential equations • Theory and computations of nonlocal modelling and fractional partial differential equations • Novel multi-scale modelling and computational strategies • Parallel computations • Numerical optimization and controls • Imaging algorithms and vision configurations • Computational stochastic processes and inverse problems • Stochastic partial differential equations, Monte Carlo simulations and uncertainty quantification • Computational finance and applications • Highly vibrant and robust algorithms, and applications in modern industries, including but not limited to multi-physics, economics and biomedicine. Papers discussing only variations or combinations of existing methods without significant new computational properties or analysis are not of interest to IJCM. Please note that research in the development of computer systems and theory of computing are not suitable for submission to IJCM. Please instead consider International Journal of Computer Mathematics: Computer Systems Theory (IJCM: CST) for your manuscript. Please note that any papers submitted relating to these fields will be transferred to IJCM:CST. Please ensure you submit your paper to the correct journal to save time reviewing and processing your work. Papers developed from Conference Proceedings Please note that papers developed from conference proceedings or previously published work must contain at least 40% new material and significantly extend or improve upon earlier research in order to be considered for IJCM.
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