The physics of financial networks
As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …
financial institutions created a global web of interactions that embodies systemic risks …
[HTML][HTML] A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
We introduce a simple and general framework for the construction of thermodynamically
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …
[HTML][HTML] On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
We use the framework of upwind summation-by-parts (SBP) operators developed by
Mattsson (2017, doi: 10.1016/j. jcp. 2017.01. 042) and study different flux vector splittings in …
Mattsson (2017, doi: 10.1016/j. jcp. 2017.01. 042) and study different flux vector splittings in …
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving …
For the general class of residual distribution (RD) schemes, including many finite element
(such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach …
(such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach …
Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities
We present two methods for the numerical solution of an overdetermined symmetric
hyperbolic and thermodynamically compatible (SHTC) model of compressible two-phase …
hyperbolic and thermodynamically compatible (SHTC) model of compressible two-phase …
Analysis of the SBP-SAT stabilization for finite element methods part II: entropy stability
In the hyperbolic research community, there exists the strong belief that a continuous
Galerkin scheme is notoriously unstable and additional stabilization terms have to be added …
Galerkin scheme is notoriously unstable and additional stabilization terms have to be added …
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension
In this paper, we present a pressure-based semi-implicit numerical scheme for a first order
hyperbolic formulation of compressible two-phase flow with surface tension and viscosity …
hyperbolic formulation of compressible two-phase flow with surface tension and viscosity …
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws
Many modern discontinuous Galerkin (DG) methods for conservation laws make use of
summation by parts operators and flux differencing to achieve kinetic energy preservation or …
summation by parts operators and flux differencing to achieve kinetic energy preservation or …
Scalable resolvent analysis for three-dimensional flows
Resolvent analysis is a powerful tool for studying coherent structures in turbulent flows.
However, its application beyond canonical flows with symmetries that can be used to …
However, its application beyond canonical flows with symmetries that can be used to …
Summation-by-parts operators for general function spaces: The second derivative
Many applications rely on solving time-dependent partial differential equations (PDEs) that
include second derivatives. Summation-by-parts (SBP) operators are crucial for develo** …
include second derivatives. Summation-by-parts (SBP) operators are crucial for develo** …