3 papers
cs.DM2025
Scheduled Jacobian Chaining
Simon Märtens, Uwe Naumann
This paper addresses the efficient computation of Jacobian matrices for programs composed of sequential differentiable subprograms. By representing the overall Jacobian as a chain…
math.NA2024
Differential Inversion of the Implicit Euler Method: Symbolic Analysis
Uwe Naumann
The implicit Euler method integrates systems of ordinary differential equations with differentiable right-hand side $G : {\mathbb R} \times {\mathbb R…
cs.LG2024
Matrix-Free Jacobian Chaining
Uwe Naumann
The efficient computation of Jacobians represents a fundamental challenge in computational science and engineering. Large-scale modular numerical simulation programs can be regarde…