2 papers
cs.DS2026
End Cover for Initial Value Problem: Complete Validated Algorithms with Complexity Analysis
Bingwei Zhang, Chee Yap
We consider the first-order autonomous ordinary differential equation \[ \mathbf{x}' = \mathbf{f}(\mathbf{x}), \] where is locally Lips…
cs.SC2026
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…