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

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  • Sari: SEMA SIMAI Springer Series 13
  • Ilmumisaeg: 03-Aug-2017
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319496313
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  • Formaat: EPUB+DRM
  • Sari: SEMA SIMAI Springer Series 13
  • Ilmumisaeg: 03-Aug-2017
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319496313

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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Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses.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.

Part I Theory
Optimal Control of Partial Differential Equations
3(58)
Eduardo Casas
Mariano Mateos
Introduction to First-Principle Simulation of Molecular Systems
61(46)
Eric Cances
Accurate Computations and Applications of Some Classes of Matrices
107(46)
J.M. Pena
Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra
153(36)
Laura Grigori
Part II Applications
Singular Traveling Waves and Non-linear Reaction-Diffusion Equations
189(6)
Juan Calvo
Numerical Simulation of Flows Involving Singularities
195(6)
Maria Garzon
James A. Sethian
August Johansson
A Projection Hybrid Finite Volume-ADER/Finite Element Method for Turbulent Navier-Stokes
201(6)
A. Bermudez
S. Busto
J.L. Ferrin
L. Saavedra
E.F. Toro
M.E. Vazquez-Cendon
Stable Discontinuous Galerkin Approximations for the Hydrostatic Stokes Equations
207(6)
F. Guillen-Gonzalez
M.V. Redondo-Neble
J.R. Rodriguez-Galvan
A Two-Step Model Identification for Stirred Tank Reactors: Incremental and Integral Methods
213(8)
A. Bermudez
E. Carrizosa
O. Crego
N. Esteban
J.F. Rodriguez-Calo
Variance Reduction Result for a Projected Adaptive Biasing Force Method
221(8)
Houssam AlRachid
Tony Lelievre
Modeling Chemical Kinetics in Solid State Reactions
229(6)
J.A. Huidobro
I. Iglesias
B.F. Alfonso
C. Trobajo
J.R. Garcia
ASSR Matrices and Some Particular Cases
235(6)
P. Alonso
J.M. Pena
M.L. Serrano
A Computational Approach to Verbal Width in Alternating Groups
241(4)
Jorge Martinez Carracedo
Consuelo Martinez Lopez
Improvements in Resampling Techniques for Phenotype Prediction: Applications to Neurodegenerative Diseases
245(4)
Juan Carlos Beltran Vargas
Enrique J. deAndres-Galiana
Ana Cernea
Juan Luis Fernandez-Martinez
An Aortic Root Geometric Model, Based on Transesophageal Echocardiographic Image Sequences (TEE), for Biomechanical Simulation
249
Marcos Loureiro-Ga
Maria F. Garcia
Cesar Veiga
G. Fdez-Manin
Emilio Paredes
Victor Jimenez
Francisco Calvo-Iglesias
Andres Iniguez
Mariano Mateos graduated from the University of Oviedo with a degree in Mathematics in 1995 and in 2000 completed his PhD at the University of Cantabria, where he is currently a member of the research group "Optimal Control of Partial Differential Equations". He is the author of several works on this subject and participates regularly in international conferences on Applied Mathematics. In 2016, he chaired the Spanish-French School on Numerical Simulation organized by SeMA and SMAI. Currently, he reads Numerical Methods at the Engineering School of Gijón as an Associate Professor.

Pedro Alonso is currently a Professor at the Department of Mathematics, the University of Oviedo (Spain). He received his PhD in Mathematics from the University of Oviedo in 1995. His main interests include numerical linear algebra, error analysis, study of algorithms (complexity, performance, stability, convergence, etc.), high performance computing and mathematics education. He has several publications in international journals and communications for international conferences to his credit.