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Journal of Computational Physics, ISSN 0021-9991, 11/2018, Volume 373, pp. 410 - 424
A weighted and shifted difference formula is constructed based on the Lubich operators, which gives a forth-order and unconditionally stable difference scheme... 
Higher-order scheme | Weighted and shifted difference operators | Fractional diffusion equations | Stability and convergence | Cauchy problem | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | FINITE-DIFFERENCE APPROXIMATIONS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 05/2019, Volume 348, pp. 565 - 574
In this work a high order scheme is proposed for solving the heat conduction problems. In this scheme, the governing equation of heat conduction is firstly... 
Heat conduction | Finite volume method | High order scheme | Finite difference method | CONVECTION-DIFFUSION EQUATIONS | GREENS-FUNCTION METHOD | MATHEMATICS, APPLIED | VOLUME METHOD | APPROXIMATION | CONSERVATION-LAWS | BEM | FINITE-ELEMENT-METHOD | Analysis | Differential equations
Journal Article
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 04/2019, Volume 90, pp. 79 - 85
A reaction–diffusion problem with a Caputo time derivative is considered. An integral discretization scheme on a graded mesh along with a decomposition of the... 
Fractional differential equation | Singularity | Graded mesh | Caputo derivative | MATHEMATICS, APPLIED
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2017, Volume 339, p. 163
Journal Article
SAE technical paper series, Volume 950629.
Conventional aerodynamic simulations have been carried out by using Supercomputer and over a hundred thousand grid points. It takes a long CPU time to get a... 
Computational fluid dynamics | Simulation and Modeling | Aerodynamics | Spoilers
eJournal
Computers and Fluids, ISSN 0045-7930, 01/2020, Volume 197, p. 104345
The monotonicity preserving (MP) polynomial-based reconstruction scheme with Runge-Kutta time stepping by Suresh and Huynh (1997) has been applied extensively... 
Oil spill | Multi-phase | Bubble | High-order scheme | MP Limiter | Cavitation | Polynomial reconstruction
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2014, Volume 270, pp. 687 - 710
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 11/2018, Volume 64, pp. 178 - 197
Journal Article