support via the NSF grants NSF-19-04774,NSF-AST-2009776,NASA-2020-1241;the NASA grant 80NSSC22K0628。
GPU computing is expected to play an integral part in all modern Exascale supercomputers.It is also expected that higher order Godunov schemes will make up about a significant fraction of the application mix on such s...
supported by the National Key R&D Program of China under Grant No.2021ZD0110400.
Many important problems in science and engineering require solving the so-called parametric partial differential equations(PDEs),i.e.,PDEs with different physical parameters,boundary conditions,shapes of computational...
We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces.The approach follows an embedding approach for solving the surface eikonal eq...
funded by the National Key Research and Development Program of China(No.2021YFB2600704);the National Natural Science Foundation of China(No.52171272);the Significant Science and Technology Project of the Ministry of Water Resources of China(No.SKS-2022112).
This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations(FODEs)which have been widely used in modeling various phenomena in engineering a...
Correction to:Acta Pharmacologica Sinica https://doi.org/10.1038/s41401-019-0268-y,published online 17 July 2019 The authors are very sorry for two inadvertent mistakes in the figures:the images of immunoblot showing ...
With the advent of physics informed neural networks(PINNs),deep learning has gained interest for solving nonlinear partial differential equations(PDEs)in recent years.In this paper,physics informed memory networks(PIM...
Radial Basis Function methods for scattered data interpolation and for the numerical solution of PDEs were originally implemented in a global manner. Subsequently, it was realized that the methods could be implemented...