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math.NA2026
Interpretable AI-Assisted Early Reliability Prediction for a Two-Parameter Parallel Root-Finding Scheme
Bruno Carpentieri, Andrei Velichko, Mudassir Shams +1
We propose an interpretable AI-assisted reliability diagnostic framework for parameterized root-finding schemes based on kNN-LLE proxy stability profiling and multi-horizon early p…
math.NA2026
Direct Finite-Time Contraction (Step-Log) Profiling--Driven Optimization of Parallel Schemes for Nonlinear Problems on Multicore Architectures
Mudassir Shams, Andrei Velichko, Bruno Carpentieri
Efficient computation of all distinct solutions of nonlinear problems is essential in many scientific and engineering applications. Although high-order parallel iterative schemes o…
math.NA2026
Optimizing Parallel Schemes with Lyapunov Exponents and kNN-LLE Estimation
Mudassir Shams, Andrei Velichko, Bruno Carpentieri
Inverse parallel schemes remain indispensable tools for computing the roots of nonlinear systems, yet their dynamical behavior can be unexpectedly rich, ranging from strong contrac…