10 papers
Energy dissipation and stability of a finite-volume scheme for two-phase flow models with dynamic capillary pressure
Ansgar Jüngel, Josipa-Pina Milišić, Sara Xhahysa
An implicit Euler finite-volume scheme for degenerate pseudo-parabolic cross-diffusion equations is proposed and analyzed. The system describes the dynamics of an unsaturated two-p…
Beyond Text Conditioning: A Systematic Study of MLLM-DiT Fusion for Video Generation
Yanbo Ding, Yijia Fan, Caihua Shan +8
Diffusion Transformers (DiTs) have become the dominant paradigm for high-fidelity video generation, yet their ability to perform high-level semantic planning remains limited. While…
Standard morphisms and Pythagorean triples
João Araújo, André Carvalho
Let , let be a standard morphism and let be the least integer such that every such admits a primitive monochromatic Pyt…
A convergent Scharfetter-Gummel scheme for a three-species drift-diffusion model for memristors
Ansgar Jüngel, Zhiwei Sun, Sara Xhahysa
A structure-preserving fully implicit Scharfetter-Gummel finite-volume scheme for a three-species drift-diffusion model for semiconductors is proposed and analyzed. The equations d…
A Bernoulli Phase-Fitted finite difference method with wavenumber-explicit analysis for the Helmholtz problem
Ansgar Jüngel, Panchi Li, Zhiwei Sun +1
A new Bernoulli phase-fitted finite difference method for the Helmholtz equation is introduced, obtained by applying a complexified Scharfetter--Gummel flux to the one-way factors…
A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems
Aaron Brunk, Ansgar Jüngel, Maria LukáÄová-Medvid'ová
A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic…