Annals of Mathematical Sciences and Applications

Volume 8 (2023)

Number 3

Special Issue Dedicated to the Memory of Professor Roland Glowinski

Guest Editors: Annalisa Quaini, Xiaolong Qin, Xuecheng Tai, and Enrique Zuazua

Contents

Preface

pp. 407-409

Mathematical sciences related to theoretical physics, engineering, biology and economics

Planar biharmonic vector fields; potentials and traces

Giles Auchmuty

pp. 413-426

A fast multilevel dimension iteration algorithm for high dimensional numerical integration

Xiaobing Feng and Huicong Zhong

pp. 427-460

Approximation of H-measures and beyond

Luc Tartar

pp. 461-497

Fluid dynamics, numerical linear algebra, imaging, computations related to fluid dynamics, condensed matter physics, etc.

An optimal time variable learning framework for Deep Neural Networks

Harbir Antil, Hugo Díaz, and Evelyn Herberg

pp. 501-543

Optimization, wavelet, financial mathematics and mathematical problems related to statistics

A least-squares method for the numerical solution of a 2D optimal transportation problem

Alexandre Caboussat and Dimitrios Gourzoulidis

pp. 547-563

Control theory on Wasserstein space: a new approach to optimality conditions

Alain Bensoussan, Ziyu Huang, and Sheung Chi Phillip Yam

pp. 565-628

Constructive exact controls for semi-linear wave equations

Arthur Bottois, Jérôme Lemoine, and Arnaud Münch

pp. 629-675