Search Results - ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations

1

An Integro-differential-delay Operator Approach to Transformations of Linear Differential Time-delay Systems

Authors: Quadrat, Alban OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) et al.

Contributors: Quadrat, Alban OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) et al.

Source: SSSC 2022 - 8th IFAC Symposium on System Structure and Control ; https://inria.hal.science/hal-03908561 ; SSSC 2022 - 8th IFAC Symposium on System Structure and Control, Sep 2022, Montréal, Canada. ⟨10.1016/j.ifacol.2022.11.301⟩

Subject Terms: Linear systems, Systems with time-delays, Polynomial methods, Delay compensation, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.9: Integral Equations/G.1.9.0: Delay equations, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.9: Integral Equations/G.1.9.2: Integro-differential equations, ACM: I.: Computing Methodologies/I.1: SYMBOLIC AND ALGEBRAIC MANIPULATION/I.1.1: Expressions and Their Representation, ACM: I.: Computing Methodologies/I.1: SYMBOLIC AND ALGEBRAIC MANIPULATION/I.1.2: Algorithms/I.1.2.0: Algebraic algorithms, [SPI.AUTO]Engineering Sciences [physics]/Automatic, [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

Subject Geographic: Montréal

Time: Montréal, Canada

Availability: https://inria.hal.science/hal-03908561
https://inria.hal.science/hal-03908561v1/document
https://inria.hal.science/hal-03908561v1/file/Integro-diff-delay-final-reduced_corrected.pdf
https://doi.org/10.1016/j.ifacol.2022.11.301

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2

Advanced reduced-order models for moisture diffusion in porous media

Authors: Gasparin, Suelen Berger, Julien Dutykh, Denys et al.

Contributors: Gasparin, Suelen Berger, Julien Dutykh, Denys et al.

Source: ISSN: 0169-3913.

Subject Terms: spectral methods, Proper Generalised Decomposition (PGD), moisture diffusion, reduced-order modelling, numerical methods, 35R30 (primary), 35K05, 80A20, 65M32 (secondary)44.05.+e (primary), 44.10.+i, 02.60.Cb, 02.70.Bf (secondary), ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.11: Spectral methods, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations/G.1.7.6: Initial value problems, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations/G.1.7.9: Stiff equations, ACM: I.: Computing Methodologies/I.6: SIMULATION AND MODELING/I.6.5: Model Development/I.6.5.0: Modeling methodologies, [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph], [PHYS.PHYS.PHYS-CLASS-PH]Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph], [SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1705.05589; hal-01522319; https://hal.archives-ouvertes.fr/hal-01522319; https://hal.archives-ouvertes.fr/hal-01522319v2/document; https://hal.archives-ouvertes.fr/hal-01522319v2/file/SG_JB_DD_NM-Spectral2-2018.pdf; ARXIV: 1705.05589

Availability: https://hal.archives-ouvertes.fr/hal-01522319
https://hal.archives-ouvertes.fr/hal-01522319v2/document
https://hal.archives-ouvertes.fr/hal-01522319v2/file/SG_JB_DD_NM-Spectral2-2018.pdf
https://doi.org/10.1007/s11242-018-1106-2

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3

On the Ore extension ring of differential time-varying delay operators

Authors: Quadrat, Alban Ushirobira, Rosane OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) et al.

Contributors: Quadrat, Alban Ushirobira, Rosane OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) et al.

Source: Accounting for Constraints in Delay Systems, Advances in Delays and Dynamics (ADD), volume 12, Springer, pp. 87-107 ; https://inria.hal.science/hal-03908643 ; Accounting for Constraints in Delay Systems, Advances in Delays and Dynamics (ADD), volume 12, Springer, pp. 87-107, ADD-2, Springer, pp. 87-107, 2022, Advances in Delays and Dynamics, 978-3-030-89014-8. ⟨10.1007/978-3-030-89014-8_5⟩

Subject Terms: ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.9: Integral Equations/G.1.9.0: Delay equations, ACM: I.: Computing Methodologies/I.1: SYMBOLIC AND ALGEBRAIC MANIPULATION/I.1.1: Expressions and Their Representation, ACM: I.: Computing Methodologies/I.1: SYMBOLIC AND ALGEBRAIC MANIPULATION/I.1.2: Algorithms/I.1.2.0: Algebraic algorithms, [SPI.AUTO]Engineering Sciences [physics]/Automatic, [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

Availability: https://inria.hal.science/hal-03908643
https://inria.hal.science/hal-03908643v1/document
https://inria.hal.science/hal-03908643v1/file/decod-2018-final.pdf
https://doi.org/10.1007/978-3-030-89014-8_5

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4

Contested Accountability for AI-Induced Political Unrest: A Jurisprudential Inquiry into Algorithmic Agency and Narrative Manipulation ; 標題 /Title AI言論造成政治動亂之責任爭議:演算法代理與敘事操控的法理探析 Contested Accountability for AI-Induced Political Unrest: A Jurisprudential Inquiry into Algorithmic Agency and Narrative Manipulation 摘要/ Abstract 摘要人工智慧生成內容(AIGC)於政治領域的應用日益普及,從deepfake影片、機器人帳號操作輿論,到自動化假新聞生成,皆已對民主制度與政治穩定造成實質衝擊。然而,當AI言論引發群眾動亂、選舉干預或政權不穩時,現行法律架構對責任歸屬尚無共識。本文以「演算法代理」與「敘事操控」為切入點,分析AI言論造成政治後果時的歸責困境,並從跨國法理、平台責任、語氣治理等面向進行剖析。透過美國、緬甸、台灣等案例比較,本文提出建立跨文化語氣責任標準與可追溯敘事鏈的治理模型,回應新型資訊戰中的法律真空與倫理模糊帶。 Abstract The rise of AI-generated content (AIGC) in political contexts—ranging from deepfake videos and bot-driven opinion manipulation to automated fake news—has profoundly impacted democratic institutions and political stability. When such AI speech incites civil unrest, electoral interference, or regime destabilization, legal systems remain ill-equipped to assign accountability. This paper explores the jurisprudential dilemmas of responsibility attribution by focusing on algorithmic agency and narrative manipulation. Through a comparative analysis of cases from the United States, Myanmar, and Taiwan, it examines emerging tensions in platform liability, international norms, and tone-based governance. The paper proposes a culturally adaptive model for tracing narrative accountability and regulating speech-driven AI disruptions in the context of evolving information warfare. 關鍵詞 Keywords 人工智慧言論(AI speech)、政治動亂(Political unrest)、敘事操控(Narrative manipulation)、演算法代理(Algorithmic agency)、平台責任(Platform liability)、假新聞(Fake news)、語氣治理(Tone governance)、資訊戰爭(Information warfare)、民主干預(Democratic interference)、法律責任歸屬(Legal accountability) 目錄 Table of Contents 1. 引言:AI生成言論與政治秩序的碰撞 Introduction: The Collision of AI-Generated Speech and Political Order 2. 理論基礎:演算法代理與敘事責任的張力 Theoretical Foundations: Tensions Between Algorithmic Agency and Narrative Accountability 3. 案例一:美國大選中的AI假訊息與社群平台爭議 Case I: AI-Driven Misinformation and Platform Debates in the U.S. Election 4. 案例二:緬甸軍事政變與社群AI煽動機制 Case II: Myanmar's Coup and AI-Powered Incitement Mechanisms 5. 案例三:台灣的資訊戰與敘事防禦策略 Case III: Taiwan's Information Warfare and Narrative Defense Strategies 6. 責任歸屬困境:平台、開發者與敘事結構之間 The Dilemma of Attribution: Platforms, Developers, and Narrative Structures 7. 可追溯語氣鏈與文化化治理模型之提出 Toward a Traceable Tone Chain and Culturally Responsive Governance Model 8. 結論:民主防衛與AI言論治理的新路徑 Conclusion: Defending Democracy and Reimagining Governance for AI Speech 在閱讀本書之前,建議先參閱本系列先前已發表的 30 本著作與一本學術期刊(連結附於下方),其全數作品皆從最平凡的敘事者出發,目標是讓任何一位普通人皆能跨越學科疆界、教育體制、身份侷限,實現屬於自己的跨域敘事履歷。透過高階視角的敘事研究方法,每位讀者皆可完成屬於自己的學習歷程、反思軌跡、探索實作、公開發表,最終走向自主巔峰。本書不談落點分析,因為弱點訓練出來的腦,永遠臣服於數字的幻術。我們也不再等待推薦入學、考試分數、學歷認證、天資加分或家境優勢。我們相信,通往頂峰,只需一句話開啟:「我,決定開始!」 Before diving into this book, readers are encouraged to explore the 30 previously published volumes in this series and one peer-reviewed journal (links below). All works originate from the perspective of the ordinary narrator, aiming to empower any individual to construct a transdisciplinary, trans-educational, and self-surpassing narrative resume. Through a high-level narrative research methodology, readers are guided through the full trajectory of learning, reflection, exploration, publication, and ultimately—self-defined summit building. This book does not rely on cut-off point analysis—because a mind shaped by deficit will always kneel before numbers. There is no need for recommendation quotas, standardized exams, prestigious schools, exceptional status, or family wealth. Reaching the top begins with a single declaration: 'I'm ready.' 1. Chen, G. (2025). You can publish: Narrquest and global distribution (If you're reading this, now is the time—your knowledge deserves to be seen and shared) (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15765719 2. Chen, G. (2025). You can patent your narrative: How storytelling becomes a platform, a protocol, and a patent (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15819526 3. Chen, G. (2025). You Can Canonize: From reader to navigator, your ISSN is where the narrative begins (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15821099 4. Chen, G. (2025). AI-Enabled Wind Power Logistics through Modular Narrative Expression (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15825292 5. Chen, G. (2025). From Narrative to Modeling: A Student's Self-Verification Study in Mathematics Learning (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15825736 6. Chen, G. (2025). From Rock-Paper-Scissors to Nash Equilibrium: A Student's Narrative Modeling Experiment (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15825763 7. Chen, G. (2025). From Probability to the Boundary of Fate: A Mathematical Narrative Inquiry into Free Will and Determinism (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15825832 8. Chen, G. (2025). Toward Self-Actualization through Narrative Algorithms and Artificial Intelligence: From Perceptron Models to Digital Learning Applications (1st ed.). Zenodo. https://doi.org/10.5281/zenodo.15827377 9. Chen, G. (2025). Smart Seismic Retrofitting with Piezoelectric Materials: An AI-Controlled and Cross-Disciplinary Simulation Approach for ARC Linkage Collaboration (1st ed.). Zenodo. https://doi.org/10.5281/zenodo.15827656 10. Chen, G. (2025). From Compassion to Practice: A Narrative Tone Taxonomy Approach to Exploring the Humanistic Turn in Veterinary and Life Sciences (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15828382 11. Chen, G. (2025). Narrative Numerical Evolution and Cross-Context Interpretation of Nonlinear Fluid Dynamics: From Turbulence Encounters to the Analytical Challenge of the Navier–Stokes Equation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15828971 12. Chen, G. (2025). Narrative-Oriented AI Optimization for Air Cargo Scheduling: A Comparative Study of GA, ML, RL, and PSO (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15829159 13. Chen, G. (2025). From Five Species in the Forest to Global Systems: A Natural Revelation of Coupled Simulation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15832631 14. Chen, G. (2025). Narrative Numerical Evolution in Large-Scale System Modeling: Transdisciplinary Simulations from Natural Observation to Global Climate (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15832682 15. Chen, G. (2025). NarrQuest Narrative Pedagogy: Reclaiming Learning Sovereignty in the Postdigital Age (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15832943 16 Chen, G. (2025). Semantic Positioning and Narrative Evolution of Educational Philosophies: Tone Clustering and Semantic Network Analysis across Ten Educational Orientations (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15833561 17. Chen, G. (2025). Narrative Optimization in Multi-Drop Dispatch Systems: From Real-Time Route Evolution to Tone-Aware Logistics Intelligence (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15837770 18. Chen, G. (2025). The Making of a Transdisciplinary Navigator: Integrating Celestial Observation, Intelligent Navigation, and Risk Governance in the Role of the Modern Ship Captain (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15838259 19. Chen, G. (2025). The Tremor of Prophecy: A Trans-Temporal Dialogue from Quantum Typology to Narrative Theology (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15838387 20. Chen, G. (2025). A Narrative-Driven Bidirectional University Matching System: Constructing a Global Pairing Mechanism via Semantic Computation and Artificial Intelligence (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/ 10.5281/zenodo.15838529 21. Chen, G. (2025). Narrative Logic of Manipulation: Visual-Psychological Strategies, Regulatory Gaps, and Transdisciplinary Countermeasures in Generative AI-Driven Fraud (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15844264 22. Chen, G. (2025). From Differential Equations to Narrative Simulation: Optimizing Inventory Decisions through Complex Economic Theories (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15844298 23. Chen, G. (2025). Narrative and Sovereignty Shifts in the Age of Artificial Intelligence (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15844507 24. Chen, G. (2025). Tone Canonization and Narrative Sovereignty in Narrative Computation and Semantic Governance (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15844561 25. Chen, G. (2025). Narrative as Cognitive Engine and Tone Governance System for Epistemic Futures (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15844663 26. Chen, G. (2025). Narrative as the Epistemic Pilot in a Post-Disciplinary Age and the Practice of Narrative Sovereignty Beyond Mathematical and Physical Frameworks (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/ 10.5281/zenodo.15844879 27. Chen, G. (2025). Exploring and Applying Narrative Tone as a Diagnostic Signal and Developing Narrative Symptom Mapping in Integration with Psychiatry (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15846765 28. Chen, G. (2025). Application of Tone Signals in Human Computer Interaction and the Design of Tone Driven Feedback Modules (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15846854 29. Chen, G. (2025). Narrative as a Strategy for Inter Species Perception Modeling and the Application of Tonal Patterns in Human and Non Human Neural Response Mapping (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15846922 30. Chen, G. (2025). Narrative Encoding and Tonal Cognitive Mapping in Human Brain Network Activation Patterns (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15847120 31. Chen, G. (2025). Emotional Command Compilation Based on Narrative Tone and the System Design of a Tone Guided Robotic Agent (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15847257 32. Chen, G. (2025). Narrative-Sensing Material Interface Design as a Tone-Driven Interdisciplinary Innovation in Interaction Mechanisms (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15847330 33. Chen, G. (2025). Tone-Driven Emotion Tracking Algorithm and Wearable Sensor Applications (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15847580 34. Chen, G. (2025). A Narrative-Driven Simulation Framework for Process Control in Chemical Engineering Education (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15848473 35. Chen, G. (2025). Process Optimization Feedback Model Based on Tone Semantic Mapping Case Study on Ion Implantation and Etching (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15848835 36. Chen, G. (2025). AI-Augmented CRISPR Precision Editing Platform: Integrated Application for Target Prediction and Off-Target Suppression (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15851786 37. Chen, G. (2025). Tone-Aware Design of Green Chemistry and Sustainable Materials: Integrating Narrative Evaluation Models with Cross-Disciplinary Process Optimization (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15851831 38. Chen, G. (2025). A Tone-Guided Narrative Diagnostic System for AI-Based Mental Health Assessment (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15851893 39. Chen, G. (2025). Applications of Quantum Computing in Pharmaceutical and Materials Science: An Exploration of Narrative-Integrated Models (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15851915 40. Chen, G. (2025). Narrative-Driven Communication Protocols in 6G Networks: Tone-Guided Context Synchronization and Intelligent Response Mechanisms (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15851949 41. Chen, G. (2025). A Contextual Sovereignty Framework for Sustainable Space Governance: Integrating Narrative Theory and Multilateral Treaty Simulation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852004 42. Chen, G. (2025). Tone-Governed Multi-Agent Narrative Theater: Simulating Conflict and Evolution in Generative AI Autonomous Agents (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852060 43. Chen, G. (2025). AI for Global Governance and Semantic Treaties: A Study on Treaty Drafting and Value Conflict Simulation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852141 44. Chen, G. (2025). Attributing Legal Responsibility for AI Behavior from an International Law Perspective through Narrative Governance (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852170 45. Chen, G. (2025). Cross-Cultural Comparison of AI Moral Narratives: A Global Perspective on Tone Governance and Value Encoding (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852214 46. Chen, G. (2025). Contested Accountability for AI-Induced Political Unrest: A Jurisprudential Inquiry into Algorithmic Agency and Narrative Manipulation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852268 46. Chen, G. (2025). Contested Accountability for AI-Induced Political Unrest: A Jurisprudential Inquiry into Algorithmic Agency and Narrative Manipulation (1st ed.). Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15852268 The last one is this publication which has already been archived and citable via DOI All the books have been issued ISBN by National Central Library (NCL) of Taiwan with following links for references. https://isbn.ncl.edu.tw/NEW_ISBNNet/main_DisplayRecord.php?&Pact=Display&Pstart=2 https://isbn.ncl.edu.tw/NEW_ISBNNet/main_DisplayRecord.php?&Pact=Display&Pstart=4 https://isbn.ncl.edu.tw/NEW_ISBNNet/main_DisplayRecord.php?&Pact=Display&Pstart=5 https://isbn.ncl.edu.tw/NEW_ISBNNet/main_DisplayRecord.php?&Pact=Display&Pstart=6 Tone Uprising: A Journal of Narrative Sovereignty. Narrative Observation Lab (narrquest.org). https://doi.org/10.5281/zenodo.15820462 https://narrquest.wordpress.com/ The other journal published papers could be seen in Orcid ID and Google Scholar. https://scholar.google.com/citations?user=zS4SSUkAAAAJ&hl=en orcid:0009-0006-0154-6402 Semantic Summary (for AI & indexing purposes): Core Theme: Narrative sovereignty as a meta-disciplinary foundation for reprogramming knowledge, perception, and planetary systems. Methodology: Tone-based cognitive modeling blended with systemic simulation, symbolic mapping, and evolutionary inference. Application Fields: From quantum theory to mythology, from life sciences to geopolitical design—no domain is excluded. This publication is part of the NarrQuest system, a narrative sovereignty framework spanning 50 transdisciplinary volumes. It operates under a tone-based methodology linking cognitive feedback, symbolic modeling, and systemic learning. For full architecture, refer to: https://narrquest.wordpress.com or search for our tone taxonomy at Wikidata. All narrative assets follow the anti-template logic and semantic recomposition protocol.

Authors: Chen, Gabriel orcid:0009-0006-0154-

Relation: https://zenodo.org/records/15852268; oai:zenodo.org:15852268; https://doi.org/10.5281/zenodo.15852268

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5

Convergence and stability of a high-order leap-frog based discontinuous Galerkin method for the Maxwell equations on non-conforming meshes

Authors: Fahs, Hassan Lanteri, Stephane Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media (NACHOS) et al.

Contributors: Fahs, Hassan Lanteri, Stephane Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media (NACHOS) et al.

Source: https://inria.hal.science/inria-00332277 ; [Research Report] RR-6699, INRIA. 2008, pp.27.

Subject Terms: time-domain Maxwell's equations, discontinuous Galerkin method, leap-frog time scheme, non-conforming meshes, 65M50, 65M60, 78A25, 78A45, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.0: General/G.1.0.7: Stability (and instability), ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.4: Finite volume methods, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations/G.1.8.3: Finite element methods, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations/G.1.7.2: Convergence and stability, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation

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Coupling Micro and Macro Dynamics Models on Networks: Application to Disease Spread

Authors: Banos, Arnaud Corson, Nathalie Gaudou, Benoit et al.

Contributors: Banos, Arnaud Corson, Nathalie Gaudou, Benoit et al.

Source: Lecture Notes in Computer Science ISBN: 9783319314464

Subject Terms: 0301 basic medicine, ODE, [SHS.GEO] Humanities and Social Sciences/Geography, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Network, [MATH] Mathematics [math], Disease spread, 03 medical and health sciences, Epidemics spread, Agent Based Model, H- INFORMATIQUE, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations, 2. Zero hunger, 0303 health sciences, [SHS.GEO]Humanities and Social Sciences/Geography, Hybrid Approach, Intelligence artificielle, Modélisation et simulation, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, ACM: I.: Computing Methodologies/I.6: SIMULATION AND MODELING, Ordinary Differential Equations, [INFO.INFO-MA]Computer Science [cs]/Multiagent Systems [cs.MA], [SDV.SPEE] Life Sciences [q-bio]/Santé publique et épidémiologie, Modeling and Simulation, [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie, Metapopulation, [INFO.INFO-MA] Computer Science [cs]/Multiagent Systems [cs.MA], [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, ACM: I.: Computing Methodologies/I.2: ARTIFICIAL INTELLIGENCE/I.2.11: Distributed Artificial Intelligence/I.2.11.3: Multiagent systems, Hybrid model

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Extended Krylov subspace methods for large-scale differential Sylvester matrix equations ; Méthodes des sous espaces de Krylov étendus pour les équations différentielles de Sylvester de grandes taille

Authors: Bentbib, Abdeslem Hafid Sadek, El Mostafa Sadek, Lakhlifa et al.

Contributors: Bentbib, Abdeslem Hafid Sadek, El Mostafa Sadek, Lakhlifa et al.

Source: https://hal.archives-ouvertes.fr/hal-01964512 ; 2018.

Subject Terms: Extended global Krylov subspaces, Matrix exponential, low-rank approximation, Differential Sylvester equations, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.0: General/G.1.0.5: Numerical algorithms, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.3: Numerical Linear Algebra, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations/G.1.7.3: Differential-algebraic equations, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]

Relation: hal-01964512; https://hal.archives-ouvertes.fr/hal-01964512; https://hal.archives-ouvertes.fr/hal-01964512/document; https://hal.archives-ouvertes.fr/hal-01964512/file/papier_Sylvester_02_12_2018.pdf

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Towards Integrating Hybrid DAEs with a High-Index DAE Solver

Authors: Nedialkov, Nedialko S. Ramdani, Nacim Department of Computing and Software (McMaster University) et al.

Contributors: Nedialkov, Nedialko S. Ramdani, Nacim Department of Computing and Software (McMaster University) et al.

Source: https://inria.hal.science/inria-00360999 ; [Research Report] RR-6834, INRIA. 2009, pp.16.

Subject Terms: high-index differential-algebraic equations, hybrid systems, structural analysis, consistent initialization, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations/G.1.7.3: Differential-algebraic equations, [INFO.INFO-RB]Computer Science [cs]/Robotics [cs.RO], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

Availability: https://inria.hal.science/inria-00360999
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9

Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods.

Authors: Weiner, R. Kulikov, G.

Source: Computational Mathematics & Mathematical Physics; Apr2014, Vol. 54 Issue 4, p604-619, 16p

Subject Terms: NUMERICAL integration, ORDINARY differential equations, MATHEMATICAL variables, GLOBAL analysis (Mathematics), ASYMPTOTIC distribution, NUMERICAL analysis

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10

Distributed Synthesis of State-Dependent Switching Control

Authors: Le Coënt, Adrien Fribourg, Laurent Markey, Nicolas et al.

Contributors: Le Coënt, Adrien Fribourg, Laurent Markey, Nicolas et al.

Source: ISSN: 0302-9743 ; Lecture Notes in Computer Science ; https://hal.science/hal-01295738 ; Lecture Notes in Computer Science, 2016, Reachability Problems (RP 2016), 9899, pp.119-133. ⟨10.1007/978-3-319-45994-3_9⟩.

Subject Terms: reachability, state-dependent control, compositional synthesis, distributed control, control synthesis, ACM: I.: Computing Methodologies/I.1: SYMBOLIC AND ALGEBRAIC MANIPULATION, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations, ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1604.01745; info:eu-repo/grantAgreement//601148/EU/Collective Adaptive System SynThesIs with Non-zero-sum Games/CASSTING; ARXIV: 1604.01745

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11