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20102026
most citedThe scientific case for brain simulations

214 citations

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9 papers · 1 filter

math.NA2025

Modeling a Smooth Surface by a Constrained Biharmonic Equation with Application in Soil Science

Samson Seifu Bekele, Maregnesh Mechal Wolde, Claus Führer +2

This paper presents a method for mathematical modelling of surfaces conditioned on empirical data. It is based on solving a discrete biharmonic equation over a domain with given in…

math.NA2025★ 1 cited

A Parallel, Energy-Stable Low-Rank Integrator for Nonlinear Multi-Scale Thermal Radiative Transfer

Chinmay Patwardhan, Jonas Kusch

Thermal radiative transfer models physical phenomena ranging from supernovas in astrophysics to radiation from a hohlraum striking a fusion target in plasma physics. Transport and…

math.NA2024★ 8 cited

Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations

Chinmay Patwardhan, Martin Frank, Jonas Kusch

The thermal radiative transfer equations model temperature evolution through a background medium as a result of radiation. When a large number of particles are absorbed in a short…

math.NA2023★ 6 cited

A Convergent Numerical Algorithm for -Dissipative Solutions of the Hunter-Saxton Equation

Thomas Christiansen, Katrin Grunert, Anders Nordli +1

A convergent numerical method for -dissipative solutions of the Hunter-Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initi…

math.NA2021

Numerical approximation of the spectrum of self-adjoint continuously invertible operators

Tomáš Gergelits, Bjørn Fredrik Nielsen, Zdeněk Strakoš

This paper deals with the generalized spectrum of continuously invertible linear operators defined on infinite dimensional Hilbert spaces. More precisely, we consider two bounded,…

math.NA2020★ 1 cited

Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems

Eirik Valseth, Pouria Behnoudfar, Clint Dawson +1

We establish stable finite element (FE) approximations of convection-diffusion initial boundary value problems using the automatic variationally stable finite element (AVS-FE) meth…