On October 12, Institute of Science and Technology Information of China held a conference to release the statistic of Chinese scientific and technological papers in 2016 in Beijing.《A class of second order difference approximations for solving space fractional diffusion equations》(Math. Comp. 84 (2015), 1703-1727), co-authored by Professor Deng Weihua of the School of Mathematics and Statistics, Lanzhou University and his students, was selected as one of the most influential international academic papers in China in 2015.
Up to 20th October, 2016, the research result of Web of Science showed that the paper have been cited for 28 times. Professor Deng Weihua and his team have devoted themselves to the research of mathematical modeling and high-precision calculation in the field of anomalous diffusion. They have published 55 papers in SCI journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis, Physical Review E, Cited more than 1,600 times. Their papers were totally cited for more than 1600 times.
The abstract of the above academic criticism is as follows:
A class of second order approximations, called the weighted and shifted Grunwald difference (WSGD) operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion equations in one and two dimensions. The stability and convergence of our difference schemes for space fractional diffusion equations with constant coefficients in one and two dimensions are theoretically established. Several numerical examples are implemented to test the efficiency of the numerical schemes and confirm the convergence order, and the numerical results for variable coefficients problem are also presented.
(Translated by He Lixia, proofread by Huang Ping)
