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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2016, Volume 444, pp. 1 - 8
The goal of this work is to determine classes of traveling solitary wave solutions for Lattice Boltzmann schemes by means of a hyperbolic ansatz. It is shown... 
Structural stability | Solitary waves | Lattice Boltzmann schemes | SOLITARY WAVE SOLUTIONS | DE-VRIES EQUATION | PHYSICS, MULTIDISCIPLINARY
Journal Article
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2019, Volume 41, Issue 3, pp. A1500 - A1526
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2013, Volume 51, Issue 2, pp. 840 - 863
Journal Article
Computer Physics Communications, ISSN 0010-4655, 01/2019, Volume 234, pp. 40 - 54
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2019
One of the most fascinating phenomena observed in reaction-diffusion systems is the emergence of segregated solutions, i.e. population densities with disjoint... 
Analysis of PDEs | Mathematics
Journal Article
Computers and Fluids, ISSN 0045-7930, 10/2017, Volume 156, pp. 329 - 342
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2017, Volume 49, Issue 2, pp. 1385 - 1418
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2016, Volume 36, Issue 4, pp. 1804 - 1841
This paper deals with the numerical integration of well-posed multiscale systems of ODEs or evolutionary partial differential equations (PDEs). As these... 
asymptotic error | subcycling | longtime asymptotics | è-schemes | asymptotic order | Lie- and Strang-splitting schemes | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | DIFFUSION ASYMPTOTICS | theta-schemes | MODEL | SIMULATION | FLUID | WAVE-EQUATIONS | STRUCTURAL DYNAMICS | Analysis of PDEs | Mathematics
Journal Article
European Journal of Applied Mathematics, ISSN 0956-7925, 2018, pp. 1 - 30
The Wasserstein gradient flow structure of the partial differential equation system governing multiphase flows in porous media was recently highlighted in... 
Multiphase porous media flows | Wasserstein gradient flow | augmented Lagrangian method | finite volumes | minimising movement scheme | Numerical Analysis | Analysis of PDEs | Mathematics
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 11/2016, Volume 85, Issue 302, pp. 2651 - 2685
In this article we propose a unified analysis for conforming and non-conforming finite element methods that provides a partial answer to the problem of... 
DISCRETE COMPACTNESS | MATHEMATICS, APPLIED | PENALTY | GRIDS | EIGENVALUE PROBLEMS | APPROXIMATION | ELECTROMAGNETICS | CONVERGENCE | MIXED FINITE-ELEMENTS | ELEMENT EXTERIOR CALCULUS | DISCRETIZATIONS | Numerical Analysis | Analysis of PDEs | Mathematics
Journal Article