RESEARCH & SCIENTIFIC LEADERSHIP

Scientific foundations.
Verifiable work.

Research informs CerebraQuant Solutions' approach to mathematical structure, numerical analysis and scientific validation.

01 — SELECTED PUBLICATIONS

Research contributions.
Verifiable references.

ACCEPTED · JMAA · 2026

Residual Minimization and Variational Recovery of Entropy Solutions for Scalar Conservation Laws with Boundary Conditions

K. Haddaoui · Journal of Mathematical Analysis and Applications · Article 130977

DOI ↗
PUBLISHED · MATHEMATICS OF COMPUTATION · 2016

Choice of Measure Source Terms in Interface Coupling for a Model Problem in Gas Dynamics

F. Coquel, E. Godlewski, K. Haddaoui, C. Marmignon, F. Renac · Mathematics of Computation, 85(301), 2305–2339

JOURNAL
PREPRINT · UNDER REVIEW

From Initial Data to Boundary Layers: Neural Networks for Nonlinear Hyperbolic Conservation Laws

K. Haddaoui · Research manuscript

SSRN ↗
SUBMITTED MANUSCRIPT

A Unified Riemann-Informed Neural Framework for One-Dimensional Nonlinear Hyperbolic Model Coupling

K. Haddaoui · Research on hyperbolic coupling

RESEARCH
IN PREPARATION

A General Structure-Preserving Neural Framework for Multidimensional Nonlinear Hyperbolic Initial-Boundary Value Problems

K. Haddaoui, A. Patawari, P. Das · Work in progress

IN PREP.
CerebraQuant emblem from actual course materialsFOUNDER & PRESIDENT
02 — FOUNDER & SCIENTIFIC LEADERSHIP

Khalil Haddaoui, PhD

Applied mathematician focused on the interaction between modeling, algorithms and rigorous validation.

His background brings together mathematical research, quantitative finance, artificial intelligence, scientific computing and higher education. He develops methods that combine theoretical structure, numerical implementation and robustness requirements.

Through CerebraQuant Solutions, he turns this expertise into quantitative technologies, R&D projects and advanced live training for demanding technical audiences.

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