Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. We present an efficient two-level strategy to accelerate the solution of the CASSCF ...
1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.
Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
Abstract: In this paper, we propose a derivative free algorithm for solving non-linear monotone equations with convex constraints. The proposed algorithm combines the method of spectral gradient and ...
Mathematics of Operations Research, Vol. 42, No. 3 (August 2017), pp. 662-691 (30 pages) Recently, in He et al. [He BS, Tao M, Yuan XM (2012) Alternating direction method with Gaussian back ...
College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. Nonlinear phenomena exist in many fields of natural science, such as quantum mechanics, condensed matter, ...
In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...
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