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Journal of Scientific Computing, ISSN 0885-7474, 12/2019, Volume 81, Issue 3, pp. 1732 - 1766
First this paper analyzes the reason for the accuracy losing of the third-order weighted essentially non-oscillatory (WENO) scheme. It is shown that one reason... 
Third-order WENO scheme | Computational Mathematics and Numerical Analysis | 76L05 | Algorithms | Hybrid-WENO scheme | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics | Non-nodal critical point | 76M20 | Discontinuity-detecting method
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2012, Volume 231, Issue 20, pp. 6861 - 6906
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 12/2019, Volume 81, Issue 3, pp. 1963 - 1986
A second order interface anchoring method has been developed and used with fast sweeping algorithm for reinitialization of a level set function. The algebraic... 
Reinitialization | Computational Mathematics and Numerical Analysis | Algorithms | Level set | Interface tracking | 76T99 | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics | 76M20 | 65Y05 | Fast sweeping method
Journal Article
Numerische Mathematik, ISSN 0029-599X, 2/2019, Volume 141, Issue 2, pp. 495 - 567
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2018, Volume 340, pp. 122 - 150
The method presented below focuses on the numerical approximation of the Euler compressible system. It pursues a two-fold objective: being able to accurately... 
Implicit–explicit schemes | Hyperbolic equations | Multi-scale flows | Low Mach number | Relaxation schemes | Fractional step | UPWIND SCHEMES | MATHEMATICS, APPLIED | Implicit-explicit schemes | ACCURATE | NUMBER LIMIT | BEHAVIOR | EQUATIONS | PROJECTION LIKE SCHEME | ISENTROPIC EULER | NUMERICAL-SIMULATION | Mathematical Physics | Numerical Analysis | Mathematics
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 05/2019, Volume 125, pp. 189 - 208
We prove that weak solutions obtained as limits of certain numerical space–time discretizations are suitable in the sense of Scheffer and... 
Navier–Stokes equations | Numerical schemes | θ-method | Finite element and finite difference methods | Local energy inequality | MATHEMATICS | MATHEMATICS, APPLIED | theta-method | SLIP BOUNDARY-CONDITIONS | SEMI-DISCRETIZATION | Navier-Stokes equations | PARTIAL REGULARITY
Journal Article
Applied Mathematics and Mechanics, ISSN 0253-4827, 11/2019, Volume 40, Issue 11, pp. 1647 - 1656
A numerical analysis is presented for the oscillatory flow of Maxwell fluid in a rectangular straight duct subjected to a simple harmonic periodic pressure... 
rectangular duct | Fluid- and Aerodynamics | Classical Mechanics | Maxwell fluid | 76A05 | Mathematics | 76M20 | finite difference method | O351.2 | oscillatory flow | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Partial Differential Equations | Fluid dynamics | Analysis
Journal Article
Numerische Mathematik, ISSN 0029-599X, 6/2018, Volume 139, Issue 2, pp. 281 - 314
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 11/2018, Volume 77, Issue 2, pp. 726 - 754
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 8/2018, Volume 76, Issue 2, pp. 727 - 758
Journal Article
Applied Mathematics and Mechanics, ISSN 0253-4827, 6/2019, Volume 40, Issue 6, pp. 823 - 836
Journal Article
Russian Journal of Numerical Analysis and Mathematical Modelling, ISSN 0927-6467, 02/2020, Volume 35, Issue 1, pp. 21 - 35
In the present work the possibility of turbulence closure applying to improve barotropic jet instability simulation at coarse grid resolutions is considered.... 
kinetic energy backscatter | 76E20 | 76F65 | 65L07 | subgrid scale modelling | 76M20 | 76F06 | 76M55 | normal modes | 76M35 | Two-dimensional turbulence | scale-similarity | barotropic instability | stochastic parameterization | 81T80 | Damping | Turbulence | Turbulent flow | Computer simulation | Structural stability | Backscattering | Eddy viscosity | Ocean models | Vortices | Spectrum analysis | Computational grids | Kinetic energy | Closures
Journal Article
Environmental Earth Sciences, ISSN 1866-6280, 12/2015, Volume 74, Issue 11, pp. 7387 - 7405
Journal Article
Applied Mathematics and Mechanics, ISSN 0253-4827, 11/2018, Volume 39, Issue 11, pp. 1679 - 1690
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2011, Volume 200, Issue 23, pp. 2083 - 2093
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 02/2018, Volume 41, Issue 3, pp. 1068 - 1073
Journal Article