3 papers
math.NA2026
Taylor Tube Method for Validated IVP
Bingwei Zhang, Chee Yap
We recently introduced a novel architecture for the design of validated IVP algorithms. This architecture forms the basis of our complete validated algorithm for IVP. A key subrout…
cs.DS2026
Covers for Initial Value Problem: Complete Validated Algorithms with Complexity Analysis
Bingwei Zhang, Chee Yap
We consider the first order autonomous differential equation (ODE) where is locally Lipschitz. For a…
cs.SC2025
A Novel Approach to the Initial Value Problem with a complete validated algorithm
Bingwei Zhang, Chee Yap
We consider the first order autonomous differential equation (ODE) where is locally Lipschitz. For ${\bf x}_0\i…