his book contains selected, peer-reviewed articles presented at the International Conference on Mathematical Modeling and Modern Applications (M3A_24), held in Istanbul, Türkiye, on June 46 2024. The selected articles are all real-life problem oriented and present numerical methods from the following fields: partial differential equations, approximation, applied linear and multilinear algebra, probability and statistics, artificial intelligence and deep learning. The developed tools are of special interest for understanding and taking an active part into the challenges posed by the increasing needs of the industry. A special focus is given to the large-scale methods in response to massive amount of data to process in many problems. Each article contains an initial section enabling non-specialists to grasp the issues at stake in the problem under consideration, as well as theoretical reminders and references enabling readers to deepen their understanding. This will enable researchers to present their advances, while at the same time allowing them to be disseminated to industry and students.
A. Badahmane and Y. El Yazidi, New regularized Preconditioner for
solving the discrete Lid driven cavity and Flow over backward facing step
systems.- O. Benchettou, A. Had Bentbib and K. Kreit, Quaternion Subspace
Iteration Method with Application in Matrix Completion.- M. Boufi, C.
Koukouvinos, and M. Mitrouli, Properties and Applications of Sylvester
Hadamard matrices.- N. Barakitis, P. F. Isabella Furci, and S.
Serra-Capizzano, An extradimensional approach for distributional results: the
case of 2 ×2 block Toeplitz structures.- I. Iordanis and C. Koukouvinos,
Exploring the eectiveness of Progressive Latin Hypercube Sampling in Cluster
Analysis.- A. El Hachimi, M. Elalj, K. Jbilou, and A. Ratnani, Generalized
L-product for high order tensors and applications using GPU computations.- M.
BAHARI, A. HABBAL, and A. RATNANI, Isogeometric Analysis For Image
Registration and Segmentation Using Optimal Transport Problem.- M. Hached, K.
Jbilou, and Y. Guldogan, A Review on the Numerical Resolution of Large-Scale
Low-rank Differential Matrix Equations.- M. A. Hamadi, K. Jbilou, and A.
Ratnani, Tensor Krylov subspaces for model reduction of multilinear
time-invariant systems.- I. Iordanis and C. Koukouvinos.- Exploring the
effectiveness of Progressive Latin Hypercube Sampling in Cluster Analysis.-
A. H. Bentbib, K. Jbilou and S. Khobizy.- Multiplex network completion via
similarity learning.- C. Koukouvinos, M. Mitrouli and O. Turek, Using direct
versus regularized solvers for realistic statistical models.- S.-E. Chorfi
and L. Maniar, Controllability and Inverse Problems for Parabolic Systems
with Dynamic Boundary Conditions.- L. Rosier, High-order conditions for an
analytic function to be locally positive denite.- H. Safouhi, On the
Computation of the Three-Center Nuclear Attraction Integrals.
