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19922026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2022 · math.NAShow all

13 papers · 2 filters

math.NA2022

An Accurate and Robust Eulerian Finite Element Method for Partial Differential Equations on Evolving Surfaces

Hauke Sass, Arnold Reusken

In this paper we present a new Eulerian finite element method for the discretization of scalar partial differential equations on evolving surfaces. In this method we use the restri…

math.NA2022★ 5 cited

A scale-coupled numerical method for transient close-contact melting

Leonardo Boledi, Fabian Key, Benjamin Terschanski +2

We introduce a numerical workflow to model and simulate transient close-contact melting processes based on the space-time finite element method. That is, we aim at computing the ve…

math.NA2022★ 3 cited

New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow

Maximilian Harmel, Roger Andrew Sauer

This work proposes four novel hybrid quadrature schemes for the efficient and accurate evaluation of weakly singular boundary integrals (1/r kernel) on arbitrary smooth surfaces. S…

math.NA2022★ 6 cited

Numerical stability and efficiency of response property calculations in density functional theory

Eric Cancès, Michael F. Herbst, Gaspard Kemlin +2

Response calculations in density functional theory aim at computing the change in ground-state density induced by an external perturbation. At finite temperature these are usually…

math.NA2022★ 13 cited

On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics

Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro +4

We study temporal step size control of explicit Runge-Kutta methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic system…

math.NA2022★ 1 cited

Multilevel Importance Sampling for Rare Events Associated With the McKean--Vlasov Equation

Nadhir Ben Rached, Abdul-Lateef Haji-Ali, Shyam Mohan Subbiah Pillai +1

This work combines multilevel Monte Carlo (MLMC) with importance sampling to estimate rare-event quantities that can be expressed as the expectation of a Lipschitz observable of th…