IEEE

Numerical Simulations of Solving Heat-Conduction PDE (Partial Differential Equation) Using ZT (Zhang-Taylor) Time-Discretization Formula Extended from Neurodynamics

Abstract: Partial differential equations (PDEs) provide an accurate representation of mathematical and physical relationships in many modern engineering applications. In this paper, we utilize the ...
IEEE

One-Dimensional Elastic and Viscoelastic Full-Waveform Inversion in Heterogeneous Media Using Physics-Informed Neural Networks

Abstract: In this study, we discuss a mathematical framework to handle the inverse problem for the applications of partial differential equations (PDEs). In particular, we focus on wave equations and ...
GitHub

# config/pde_task_prompts.yaml

# Write a robust, adaptive Python module `solver.py` to solve Partial Differential Equations (PDEs). # Your goal is to satisfy strict Accuracy (e.g., < 1e-3 or specific task constraint) and Time (e.g.
GitHub

Transolver (ICML 2024 Spotlight)

🚩News (2026.02) We present a new member of the Transolver Family, named Transolver-3, which can handle 100-million-scale geometries with SOTA results in full-size DrivAerML. 🚩News (2025.07) We have ...