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Journal of Computational Physics, ISSN 0021-9991, 01/2020, Volume 401, p. 109028
This paper presents a backward semi-Lagrangian method (BSLM) with third-order convergence in both time and space for solving incompressible Navier–Stokes... 
Projection method | BDF3 | Navier–Stokes equations | Backward semi-Lagrangian method | Cauchy problem
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 09/2019, Volume 393, pp. 484 - 502
We introduce a novel location-based moving mesh algorithm in which the arrival points in the Semi-Implicit Semi-Lagrangian (SISL) algorithm are located by... 
Moving mesh methods | Error estimates | Burgers' equation | Semi-implicit semi-Lagrangian | Methods | Algorithms | Differential equations | Partial differential equations | Interpolation
Journal Article
Transportation Research Part B: Methodological, ISSN 0191-2615, 04/2019
Transportation Research Part B: Methodological, 2019 This paper presents a formulation of the reactive dynamic user equilibrium problem in continuum form using... 
Mathematics - Analysis of PDEs
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2018
The lattice Boltzmann method is a modern approach to simulate fluid flow. In its original formulation, it is restricted to regular grids, second-order... 
Computational fluid dynamics | Unstructured grid | High-performance computing | Semi-Lagrangian | Off-lattice Boltzmann
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2016, Volume 40, Issue 2, pp. 1588 - 1598
Solutions of the combined advection–diffusion–reaction (ADR) transport equation are generally restricted to numerical methods. However, each subprocess,... 
Semi-lagrangian | Operator splitting | Advection | Diffusion | Reaction | Analytical
Journal Article
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2018, Volume 56, Issue 6, pp. 3580 - 3610
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2016, Volume 54, Issue 1, pp. 161 - 186
Mean field-type models describing the limiting behavior of stochastic differential games as the number of players tends to +infinity were recently introduced... 
Weak solutions | Finite difference schemes | Mean field games | Convergence | NUMERICAL-METHODS | MATHEMATICS, APPLIED | EQUILIBRIA | finite difference schemes | convergence | CONVECTION | mean field games | weak solutions | NONLINEAR DIFFUSION | SEMI-LAGRANGIAN SCHEME
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 227, Issue 1, pp. 55 - 78
Journal Article
Ocean Modelling, ISSN 1463-5003, 06/2016, Volume 102, pp. 64 - 81
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2008, Volume 227, Issue 7, pp. 3641 - 3666
Journal Article
Geoscientific Model Development, ISSN 1991-959X, 12/2009, Volume 2, Issue 2, pp. 253 - 265
The implementation and application of a newly developed coupled system combining ECMWF's integrated forecast system (IFS) with global chemical transport models... 
VARIABILITY | SCHEME | BOUNDARY-LAYER | GEOSCIENCES, MULTIDISCIPLINARY | PARAMETERIZATION | CONVECTION | SIMULATIONS | SEMI-LAGRANGIAN TRANSPORT | CLIMATE MODEL
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2018, Volume 366, pp. 327 - 340
We present a backward semi-Lagrangian method with third-order temporal accuracy for solving the guiding center problem. For solving highly nonlinear... 
Stability | Backward semi-Lagrangian method | Guiding center problem | Collocation method | Initial value problem | EQUATIONS | CIP | PHYSICS, MATHEMATICAL | INTERPOLATION | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODELS | ADVECTION
Journal Article
MULTISCALE MODELING & SIMULATION, ISSN 1540-3459, 2019, Volume 17, Issue 1, pp. 531 - 551
The numerical resolution of parabolic problems with terms is a challenge. When the stiff terms become dominant, multiple-scale effects occur and the classical... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | averaging methods | EQUATIONS | multiple-scale analysis | PHYSICS, MATHEMATICAL | semi-Lagrangian schemes | HOMOGENIZATION | SCHEMES
Journal Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2019, Volume 41, Issue 3, pp. C161 - C193
Atmospheric tracer transport is a computationally demanding component of the atmospheric dynamical core of weather and climate simulations. Simulations... 
ADVECTION SCHEMES | semi-Lagrangian | MATHEMATICS, APPLIED | shape preservation | tracer consistency | tracer transport | TEST-CASE SUITE | ALGORITHMS | 2-DIMENSIONAL LINEAR TRANSPORT | remap | CLIMATE
Journal Article
by Russo, G and Yun, SB
SIAM JOURNAL ON NUMERICAL ANALYSIS, ISSN 0036-1429, 2018, Volume 56, Issue 6, pp. 3580 - 3610
The ellipsoidal Bhatnagar-Greene-Kruskal (BGK) model is a generalized version of the original BGK model designed to reproduce the physical Prandtl number in... 
MATHEMATICS, APPLIED | Boltzmann equation | BGK model | semi-Lagrangian scheme | BGK-MODEL | ellipsoidal BGK model | SYSTEMS | error estimates | GROSS-KROOK MODEL
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 5, pp. 1401 - 1424
A conservative multi-tracer transport algorithm on the cubed-sphere based on the semi-Lagrangian approach (CSLAM) has been developed. The scheme relies on... 
Advection | Remapping | Multi-tracer transport | Semi-Lagrangian | Conservation | Finite-volume | Cubed-sphere | PPM | Monotonicity | APPROXIMATIONS | SLICE | EQUATIONS | PHYSICS, MATHEMATICAL | SHALLOW-WATER MODEL | REGULAR LATITUDE-LONGITUDE | EFFICIENT SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HORIZONTAL ADVECTION | Tracers (Biology) | Atmospheric research | Algorithms
Journal Article