navier–stokes 04/04
Hey there, my name is Daniel,
a CS master's student in AI & Data Science at HAW Hamburg.
Welcome! Here you'll find my blog posts on the topics that interest me most: simulating physical systems through neural networks as PDE approximators. My posts focus on the intersection of physics, mathematics, and machine learning by explaining the underlying concepts in a way that is accessible to everyone through intuition and visualizations of the given topics.
Physics Simulation Series
start at part 01series · 13 parts · 5 chapters
From Neural ODEs to Navier–Stokes
Every part of this series builds on the one before it, nothing is used before it has been explained.
Differential equations
The wave equation
Numerical stability
Neural operators
The Navier–Stokes equations
the series is ongoing: new parts are added to the end of the path
Featured Posts
All 18 posts
navier–stokes 04/04
physics simulation 09/13Fourier Neural Operators (FNOs)
A step by step guide through the architecture of Fourier Neural Operators, their applications, and how they efficiently process global information through the Fourier transform.
physics simulation 06/13The CFL Condition of the Wave Equation
A deep dive into the Von Neumann stability analysis of the wave equation and its connection to the CFL condition.
Projects
Context-Parametric Inversion
NLP research project at UNSW: does fine-tuning LLaMA 3.1 8B on QASPER make a RAG pipeline for NLP papers ignore its retrieved context? A controlled faithfulness study across 14 fine-tuning checkpoints.
LLMLoRARAGNLPTessera
Built at the Mistral AI Worldwide Hackathon in Sydney: a voice-first health companion that runs daily check-ins by voice or phone, tracks symptoms with Mistral and writes doctor-ready PDF reports.
Mistral AIElevenLabspgvectorNext.jsExpressDual MIDI Transformer
A MIDI Event based transformer architecture, utilizing two separate transformers operating on the global MIDI events and local event parameters.
TransformerDecoderMIDIPyTorchMusic Generation Review
A literature review of AI music generation: audio tokenisation with VQ-VAEs and neural codecs, autoregressive transformers, diffusion approaches, and models such as YuE, MusicGen and Jukebox.
VQ-VAETransformerDiffusionAudioMoodWave
A real-time streaming pipeline correlating German news sentiment (GDELT) with Spotify Top 200 musical features, using Kafka and Spark Streaming for dual-stream aggregation.
KafkaSparkPySparkNext.jsSupabase
## Education
2024 — today
M.Sc. Computer Science · AI & Data Science
HAW Hamburg
- GPA 1.0
- Neural ODEs/PDEs & operators, transformers, VAEs, diffusion & flow matching
02/2026 — 07/2026
Postgraduate Exchange Semester Scholarship
UNSW Sydney
- Led a five-student NLP research project on LLM context faithfulness — High Distinction
2020 — 2024
B.Sc. Media Computer Science
University of Flensburg
- Programming, databases, artificial neural networks
## Experience
2025 — today
Working Student · AI & Data Science
Statista
- RAG systems, data automation pipelines, scraping & structuring
2021 — 2025
Working Student · Fullstack Development
Jung von Matt TECH, SOFTSTACK, Events United
- 4+ years of fullstack engineering — projects for dfb.de, bmw.com and more
## Honors
Deutschlandstipendium
Scholarship for Gifted and High-Achieving Students