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

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-05
DOI
https://doi.org/10.5281/zenodo.22405278
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Mohammad Reza Ansari
Zenodo (CERN European Organization for Nuclear Research)
Model Reduction and Neural Networks
article

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

Mohammad Reza Ansari
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Openalex Percentile: Top 10%
Model Reduction and Neural Networks
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