10 citations · 23 across the 9 of their papers we have counts for
8 papers · 1 filter
Learning reduced order models from data for hyperbolic PDEs
Neeraj Sarna, Peter Benner
Given a set of solution snapshots of a hyperbolic PDE, we are interested in learning a reduced order model (ROM). To this end, we propose a novel decompose then learn approach. We…
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities
Neeraj Sarna, Peter Benner
We propose a data-driven model order reduction (MOR) technique for parametrized partial differential equations that exhibit parameter-dependent jump-discontinuities. Such problems…
A Positive and Stable L2-minimization Based Moment Method for the Boltzmann Equation of Gas dynamics
Neeraj Sarna
We consider the method-of-moments approach to solve the Boltzmann equation of rarefied gas dynamics, which results in the following moment-closure problem. Given a set of moments,…
Data-Driven Snapshot Calibration via Monotonic Feature Matching
Neeraj Sarna, Jan Giesselmann, Peter Benner
Snapshot matrices of hyperbolic equations have a slow singular value decay, resulting in inefficient reduced-order models. We develop on the idea of inducing a faster singular valu…
Stable Boundary Conditions and Discretization for PN Equations
Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
A solution to the linear Boltzmann equation satisfies an energy bound, which reflects a natural fact: The energy of particles in a finite volume is bounded in time by the energy of…
Hyper-reduction for parametrized transport dominated problems via online-adaptive reduced meshes
Neeraj Sarna, Sara Grundel
We propose an efficient residual minimization technique for the nonlinear model-order reduction of parameterized hyperbolic partial differential equations. Our nonlinear approximat…
Convergence Analysis of the Grad's Hermite Approximation to the Boltzmann Equation
Neeraj Sarna, Jan Giesselmann, Manuel Torrilhon
In (Commun Pure Appl Math 2(4):331-407, 1949), Grad proposed a Hermite series expansion for approximating solutions to kinetic equations that have an unbounded velocity space. Howe…
Stable boundary conditions for the Hermite Discretization of Boltzmann Equation in Multi Physical Space Dimensions
Neeraj Sarna
Any numerical method fails to provide us with acceptable results if not equipped with appropriate boundary conditions. Catering to more realistic applications, in the present artic…