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] 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 …
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form
discontinuous Galerkin discretizations have robustness issues when trying to solve the …
discontinuous Galerkin discretizations have robustness issues when trying to solve the …
[HTML][HTML] Analysis of the SBP-SAT stabilization for finite element methods part I: linear problems
In the hyperbolic community, discontinuous Galerkin (DG) approaches are mainly applied
when finite element methods are considered. As the name suggested, the DG framework …
when finite element methods are considered. As the name suggested, the DG framework …
High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable …
This work reports on the performances of a fully-discrete hp-adaptive entropy stable
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
discontinuous collocated Galerkin method for the compressible Naiver–Stokes equations …
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 …
[HTML][HTML] Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations
Recently, relaxation methods have been developed to guarantee the preservation of a
single global functional of the solution of an ordinary differential equation. Here, we …
single global functional of the solution of an ordinary differential equation. Here, we …
A broad class of conservative numerical methods for dispersive wave equations
We develop a general framework for designing conservative numerical methods based on
summation by parts operators and split forms in space, combined with relaxation Runge …
summation by parts operators and split forms in space, combined with relaxation Runge …
[BUKU][B] Approximation and stability properties of numerical methods for hyperbolic conservation laws
P Öffner - 2023 - books.google.com
The book focuses on stability and approximation results concerning recent numerical
methods for the numerical solution of hyperbolic conservation laws. The work begins with a …
methods for the numerical solution of hyperbolic conservation laws. The work begins with a …
Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws
The paper describes the construction of entropy-stable discontinuous Galerkin difference
(DGD) discretizations for hyperbolic conservation laws on unstructured grids. The …
(DGD) discretizations for hyperbolic conservation laws on unstructured grids. The …