Mathematical Modeling with Modern Applications
Description
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 4-6 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.
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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. Ha?d 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 e?ectiveness 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 de?nite.- H. Safouhi, On the Computation of the Three-Center Nuclear Attraction Integrals.