Numerical and computational mathematics

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The Bitter Lesson for the Bitter Lesson: Where Human Mathematicians and Engineers go in the Age of AI

presentation posted on 2026-01-08

Christopher Rackauckas

UntiCST（Convergence Structure Theory）によるコラッツ予想の完全証明候補：理論的課題最小化版

preprint posted on 2026-01-08

真次郎廣瀬

The Seven Bridges of Konigsberg: Euler Circuits

journal contribution posted on 2026-01-06

Vivek Jacob

DATASET

Fishes Go MOO: Neural Network Data Prediction

dataset posted on 2025-12-31

Nicholas Battista

SOFTWARE

The MATLAB code and data for “Bayesian inference techniques for parameter identifiability in plant biology models.”

software posted on 2025-12-30

The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic.

dataset posted on 2025-12-27

A Comprehensive Mathematical Framework Spanning All Scales from Pre-Geometric Foundations to Cosmological Phenomena - The Book

book posted on 2025-12-25

Anthony Jordon

Bounds for Optimal Golomb Rulers

preprint posted on 2025-12-25

Bassam Abdul-Baki

The Konrad backbone in an Amanda loop: Basel closure, Euler-Golden resonance, triadic spiral emergence, analytic closure canons, and a cubic linear-recurrence adapter

preprint posted on 2025-12-22

DATASET

MHD Stagnation Point Flow of Micropolar Fluid over a Stretching/Shrinking Sheet

dataset posted on 2025-12-20

Ashwini Bhat

The complete understanding of the Collatz.

preprint posted on 2025-12-20

Jon White

Approximate Methods for High-Complexity Integrals in Applied Scenarios: A Hybrid Spectral-Adaptive Decomposition Approach

preprint posted on 2025-12-04

Maurizio Estefano Mendoza Martínez

DATASET

Distance and HML True and ML Imputed Values

dataset posted on 2025-12-02

Troy Douglin

A Compact Algorithm for Approximating Real Roots

preprint posted on 2025-11-29

Maurizio Estefano Mendoza Martínez

Spectral Modelling for Spatial Network Analysis

conference contribution posted on 2025-11-27

Towards an Asymptotic Entropy Classification for Non-Compact Manifolds

preprint posted on 2025-11-12

Riccardo Pini

A Spectral-Geometric Proof of the Riemann Hypothesis: Every Zero Lies on the Critical Line (Submitted for Peer-Reveiw)

dataset posted on 2025-11-03

Software for `Reaction-diffusion models of invasive tree pest spread: quantifying the expansion of oak processionary moth in the UK'

software posted on 2025-11-03 in Newcastle University

Jamie McKeown

The Fractal Decomposition Method: A New Paradigm for High-Dimensional Numerical Integration.

preprint posted on 2025-10-31

Maurizio Estefano Mendoza Martínez

Visualisation and Analysis of DNA Historiogram of Hummon and Doreian (1989)

dataset posted on 2025-10-30

Tim Evans

UCET–8: Universal Curvature Equivalence on Noncompact, Bounded, and Lorentzian Geometries (Eighth research paper in UCET Series)

preprint posted on 2025-10-30

SIVARAM JANAKARAJ

A Proposed Resolution of the Non-Existence of Odd Perfect Numbers within the Primordial Model:A Didactic,Fully Verified Perimeter Closure

preprint posted on 2025-10-28

Prime numbers distribution and factors table

preprint posted on 2025-10-27

Shaik Bepari Rizvani Basha

Motif Code Theory: A Graph-Theoretic Framework Unifying Quantum Gravity, Particle Physics, and Cosmology with ER=EPR

preprint posted on 2025-10-26

William Terry

Prime Weights and Spectra

preprint posted on 2025-10-26

Motif Code Theory: A Graph-Theoretic Framework Unifying Quantum Gravity, Particle Physics, and Cosmology with ER=EPR

preprint posted on 2025-10-25

William Terry

UIDT - META-EXAMINATION REPORT AND BINDING ATTRIBUTION MANDATE

preprint posted on 2025-10-24

Philipp Rietz

CellML, PMR, and the Physiome journal

presentation posted on 2025-10-21 in The University of Auckland

David Nickerson

The 2-Adic Dynamical System of the 3x+1 Problem: Ergodicity, Measure, and the Collatz Conjecture

preprint posted on 2025-10-20

Maurizio Estefano Mendoza Martínez

DATASET

Mixed implicit ODE solvers implemented in Fortran

dataset posted on 2025-10-16

MOUHAMAD Al Sayed ALi

A Barrier Framework for Multiscale Dynamical Systems: Inductive Proof of Boundedness via Generalized Modular Tracking and T-Trees

preprint posted on 2025-10-10

Lukas Cain

Spatially Embedded Neural Networks: Verifying Coordinate Backpropagation in a Feed Forward MLP

preprint posted on 2025-10-08

Pascal Tohouri

Dataset of figures

dataset posted on 2025-10-07

The Twin Prime Conjecture: A Deterministic Proof (Submitted for Peer Review)

dataset posted on 2025-10-06

Arithmetic Dynamics with Guaranteed Convergence: A Prime–Composite Iteration Theorem

preprint posted on 2025-10-05

Rayan Bhuttoo

A framework towards verifying the Collatz Conjecture through a novel barrier method.

preprint posted on 2025-09-29

Lukas Cain

An intelligent framework for diverse map projections via fusion, anomaly detection, and robust distortion estimation

journal contribution posted on 2025-09-26

Performance evaluation of BEM and PINNs

dataset posted on 2025-09-16

FigureData.xlsx

dataset posted on 2025-09-15

Koichiro Maki

Complex Eigenvalues, Orthogonality, and QR Factorization: Analytical Proofs and Numerical Verification

dataset posted on 2025-09-11

Umar Tabbsum

Numerical and computational mathematics

The Bitter Lesson for the Bitter Lesson: Where Human Mathematicians and Engineers go in the Age of AI

UntiCST（Convergence Structure Theory）によるコラッツ予想の完全証明候補：理論的課題最小化版

The Seven Bridges of Konigsberg: Euler Circuits

Fishes Go MOO: Neural Network Data Prediction

The MATLAB code and data for “Bayesian inference techniques for parameter identifiability in plant biology models.”

The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic.

A Comprehensive Mathematical Framework Spanning All Scales from Pre-Geometric Foundations to Cosmological Phenomena - The Book

Bounds for Optimal Golomb Rulers

The Konrad backbone in an Amanda loop: Basel closure, Euler-Golden resonance, triadic spiral emergence, analytic closure canons, and a cubic linear-recurrence adapter

<b>MHD Stagnation Point Flow of Micropolar Fluid over a Stretching/Shrinking Sheet</b>

The complete understanding of the Collatz.

Approximate Methods for High-Complexity Integrals in Applied Scenarios: A Hybrid Spectral-Adaptive Decomposition Approach

Distance and HML True and ML Imputed Values

A Compact Algorithm for Approximating Real Roots

Spectral Modelling for Spatial Network Analysis

Towards an Asymptotic Entropy Classification for Non-Compact Manifolds

A Spectral-Geometric Proof of the Riemann Hypothesis: Every Zero Lies on the Critical Line (Submitted for Peer-Reveiw)

Software for `Reaction-diffusion models of invasive tree pest spread: quantifying the expansion of oak processionary moth in the UK'

The Fractal Decomposition Method: A New Paradigm for High-Dimensional Numerical Integration.

Visualisation and Analysis of DNA Historiogram of Hummon and Doreian (1989)

UCET–8: Universal Curvature Equivalence on Noncompact, Bounded, and Lorentzian Geometries (Eighth research paper in UCET Series)

<b>A Proposed Resolution of the Non-Existence of Odd Perfect Numbers </b><sup><em>within the Primordial Model:A Didactic,Fully Verified Perimeter Closure</em></sup>

Prime numbers distribution and factors table

Motif Code Theory: A Graph-Theoretic Framework Unifying Quantum Gravity, Particle Physics, and Cosmology with ER=EPR

Prime Weights and Spectra

Motif Code Theory: A Graph-Theoretic Framework Unifying Quantum Gravity, Particle Physics, and Cosmology with ER=EPR

UIDT - META-EXAMINATION REPORT AND BINDING ATTRIBUTION MANDATE

CellML, PMR, and the Physiome journal

The 2-Adic Dynamical System of the 3x+1 Problem: Ergodicity, Measure, and the Collatz Conjecture

Mixed implicit ODE solvers implemented in Fortran

​<b>A Barrier Framework for Multiscale Dynamical Systems: Inductive Proof of Boundedness via Generalized Modular Tracking and T-Trees</b>

Spatially Embedded Neural Networks: Verifying Coordinate Backpropagation in a Feed Forward MLP

Dataset of figures

The Twin Prime Conjecture: A Deterministic Proof (Submitted for Peer Review)

Arithmetic Dynamics with Guaranteed Convergence: A Prime–Composite Iteration Theorem

A framework towards verifying the Collatz Conjecture through a novel barrier method.

An intelligent framework for diverse map projections via fusion, anomaly detection, and robust distortion estimation

Performance evaluation of BEM and PINNs

FigureData.xlsx

Complex Eigenvalues, Orthogonality, and QR Factorization: Analytical Proofs and Numerical Verification

<b>A Barrier Framework for Multiscale Dynamical Systems: Inductive Proof of Boundedness via Generalized Modular Tracking and T-Trees</b>