[HTML][HTML] Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification
In this work, we present a model order reduction (MOR) technique for hyperbolic
conservation laws with applications in uncertainty quantification (UQ). The problem consists …
conservation laws with applications in uncertainty quantification (UQ). The problem consists …
Entropy-conservative discontinuous Galerkin methods for the shallow water equations with uncertainty
J Bender, P Öffner - Communications on Applied Mathematics and …, 2024 - Springer
In this paper, we develop an entropy-conservative discontinuous Galerkin (DG) method for
the shallow water (SW) equation with random inputs. One of the most popular methods for …
the shallow water (SW) equation with random inputs. One of the most popular methods for …
Stochastic finite volume method for uncertainty quantification of transient flow in gas pipeline networks
We develop a weakly intrusive framework to simulate the propagation of uncertainty in
solutions of generic hyperbolic partial differential equation systems on graph-connected …
solutions of generic hyperbolic partial differential equation systems on graph-connected …
Weighted essentially non-oscillatory stochastic galerkin approximation for hyperbolic conservation laws
L Schlachter, F Schneider, O Kolb - Journal of Computational Physics, 2020 - Elsevier
In this paper we extensively study the stochastic Galerkin scheme for uncertain systems of
conservation laws, which appears to produce oscillations already for a simple example of …
conservation laws, which appears to produce oscillations already for a simple example of …
[BOOK][B] Entropies and symmetrization of hyperbolic stochastic Galerkin formulations
Stochastic quantities of interest are expanded in generalized polynomial chaos expansions
using stochastic Galerkin methods. An application to hyperbolic differential equations does …
using stochastic Galerkin methods. An application to hyperbolic differential equations does …
Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws
We propose a predictor-corrector adaptive method for the study of hyperbolic partial
differential equations (PDEs) under uncertainty. Constructed around the framework of …
differential equations (PDEs) under uncertainty. Constructed around the framework of …
The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification
The stochastic finite volume method offers an efficient one-pass approach for assessing
uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimensionality …
uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimensionality …
Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries
Abstract We present a Stochastic Finite Volume-ADER (SFV-ADER) methodology for
Uncertainty Quantification (UQ) in the general framework of systems of hyperbolic balance …
Uncertainty Quantification (UQ) in the general framework of systems of hyperbolic balance …
Stochastic Active Discretizations for Accelerating Temporal Uncertainty Management of Gas Pipeline Loads
We propose a predictor-corrector adaptive method for the simulation of hyperbolic partial
differential equations (PDEs) on networks under general uncertainty in parameters, initial …
differential equations (PDEs) on networks under general uncertainty in parameters, initial …
Stabilization and uncertainty quantification for systems of hyperbolic balance laws
Wir betrachten die Wohlgestelltheit und die Stabilisierung von eindimensionalen Systemen
von hyperbolischen partiellen Differentialgleichungen auf Netzwerken. Das p-System ist von …
von hyperbolischen partiellen Differentialgleichungen auf Netzwerken. Das p-System ist von …