Computational Mathematics, Numerical Analysis and Applications : Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School

Description

The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances. Read more... Abstract: The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances Front Matter ....Pages i-xv Front Matter ....Pages 1-1 Optimal Control of Partial Differential Equations (Eduardo Casas, Mariano Mateos)....Pages 3-59 Introduction to First-Principle Simulation of Molecular Systems (Eric Cancès)....Pages 61-106 Accurate Computations and Applications of Some Classes of Matrices (J. M. Peña)....Pages 107-151 Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra (Laura Grigori)....Pages 153-185 Front Matter ....Pages 187-187 Singular Traveling Waves and Non-linear Reaction-Diffusion Equations (Juan Calvo)....Pages 189-194 Numerical Simulation of Flows Involving Singularities (Maria Garzon, James A. Sethian, August Johansson)....Pages 195-199 A Projection Hybrid Finite Volume-ADER/Finite Element Method for Turbulent Navier-Stokes (A. Bermúdez, S. Busto, J. L. Ferrín, L. Saavedra, E. F. Toro, M. E. Vázquez-Cendón)....Pages 201-206 Stable Discontinuous Galerkin Approximations for the Hydrostatic Stokes Equations (F. Guillén-González, M. V. Redondo-Neble, J. R. Rodríguez-Galván)....Pages 207-211 A Two-Step Model Identification for Stirred Tank Reactors: Incremental and Integral Methods (A. Bermúdez, E. Carrizosa, Ó. Crego, N. Esteban, J. F. Rodríguez-Calo)....Pages 213-220 Variance Reduction Result for a Projected Adaptive Biasing Force Method (Houssam AlRachid, Tony Lelièvre)....Pages 221-227 Modeling Chemical Kinetics in Solid State Reactions (J. A. Huidobro, I. Iglesias, B. F. Alfonso, C. Trobajo, J. R. Garcia)....Pages 229-233 ASSR Matrices and Some Particular Cases (P. Alonso, J. M. Peña, M. L. Serrano)....Pages 235-240 A Computational Approach to Verbal Width in Alternating Groups (Jorge Martínez Carracedo, Consuelo Martínez López)....Pages 241-244 Improvements in Resampling Techniques for Phenotype Prediction: Applications to Neurodegenerative Diseases (Juan Carlos Beltrán Vargas, Enrique J. deAndrés-Galiana, Ana Cernea, Juan Luis Fernández-Martínez)....Pages 245-248 An Aortic Root Geometric Model, Based on Transesophageal Echocardiographic Image Sequences (TEE), for Biomechanical Simulation (Marcos Loureiro-Ga, Maria F. Garcia, Cesar Veiga, G. Fdez-Manin, Emilio Paredes, Victor Jimenez et al.)....Pages 249-254