Reproducibility package for Certified hp-Adaptive Collocation with Dual-History Compression for Nonlinear Variable-Order Caputo--Volterra Equations

Abstract

This archive contains the manuscript source/PDF, numerical implementation, frozen machine-readable results, figures, regression scripts, and directed certificate postprocessor accompanying the paper “Certified hp-Adaptive Collocation with Dual-History Compression for Nonlinear Variable-Order Caputo--Volterra Equations.” The method accelerates both causal histories while retaining separate error control for Caputo and Volterra compression. The archive includes controlled-mesh and four-mode ablation tests, adaptive-path preservation checks, rank/SOE sensitivity, nonlinear-source stress tests, history-scaling data, a targetwise Volterra compression certificate, and the frozen checkpoint plus outward-rounded postprocessor used for the finalmaximum-norm certificate. The scientific and numerical content is frozen at version 1.4; journal-specific manuscript formatting is intentionally deferred until a target journal is selected.