Integrity Under Attack: The State of Scholarly Publishing

Integrity Under Attack: The State of Scholarly Publishing

December 4, 2009 , SIAM News

Talk of the Society
Douglas N. Arnold

Scientific journals are surely important. They provide the most effective means for disseminating and archiving scientific results, and so are a key part of an enterprise on which our health, security, and prosperity ultimately depend. Publications are used by universities, funding agencies, and others as a primary measure of research productivity and impact. They play a decisive role in hiring, promotion, and salary decisions, and in the ranking of departments, institutions, even nations. With big rewards tied to publication, it is not surprising that some people engage in unethical behavior, abuse, and downright fraud. Still, when I started to look at the issues more closely, I was appalled by what I found. In this column, I give a few troubling examples of misconduct by authors and by journals in applied mathematics. One conclusion I draw is that common bibliometrics---such as the impact factor for journals and citation counts for authors---are easily manipulated not only in theory, but also in practice, and that their use in ranking and judging should be curtailed. (read more)

The Mathematical Work of Daniel Spielman

The Notices solicited the following article describing the work of Daniel Spielman, recipient
of the 2010 Nevanlinna Prize. The International Mathematical Union also issued a news
release about the prize, which appeared in the December 2010 issue of the Notices (Notices of the American Mathematical Society, October 2011, Volume 58, Number 9).

String Theory and the Geometry of the Universe’s Hidden Dimensions

Shing-Tung Yau and Steve Nadishttp - Publicado em Notices of the AMS -  September  2011  Volume 58  Issue 08


This article is adapted from a talk that Shing-Tung
Yau gave at the University of California, Berkeley,
on February 10, 2011. The talk was written by Yau
and Nadis, based on their book, The Shape of Inner
Space (Basic Books, 2010). Both the talk and the book
are presented from Yau’s perspective, with the story
told in Yau’s voice. (continua)
.

Arquimedes

Archimède (em francês e inglês) artigos sobre o "Método" e outros trabalhos de Arquimedes e suas influências em problemas contemporâneos.

Educational Collaboration Space

The Educational Collaboration Space (ECS) provides a powerful and flexible open source tool for building focused communities of teachers.

An earlier version was conceived of and built in the Department of Mathematics at MIT as a way to encourage discussion among lecturers giving diverse courses with similar structure and challenges, specifically in the area of teaching communication skills, and to archive course material and successful practices emerging from those discussions. It has been in use in Mathematics for almost two years now.

The ECS distills this work and offers a general purpose platform for pedagogical collaboration. Take a look at the demo site. This is a WordPress site with specially written plugins, a custom built theme, and a template for the content. The plugins, theme, and template along with user-friendly instructions for creating a collaborative website are now available at the MIT ECS Installation Instructions site.

The ECS is designed to encourage and support collaboration; here are some suggestions.

This work was funded by the MIT Department of Mathematics, the MIT Office of Educational Innovation and Techology, and the National Science Foundation.

Feel free to contact us with any questions you may have, and send us feedback on your experience with this demo! We hope you find this tool useful!

ECS team (ecs-contact@mit.edu)
Sami Assaf
Mitcho Erlewine
Violeta Ivanova
Brett Mellor
Haynes Miller
Mia Minnes
Susan Ruff

Mathematicians of Gaussian Elimination

(publicado em  Notices of the AMS Volume 58, Number 6 June/July  2011)


Gaussian elimination is universally known as “the” method for solving simultaneous linear equations. Leonhard Euler remarked, it is the most natural way of proceeding. Because Gaussian elimination solves linear problems directly, it is an important technique in computational science and engineering, through which it makes continuing, albeit indirect, contributions to advancing knowledge and to human welfare. What is natural depends on the context, so the  algorithm has changed many times with the problems to be solved and with computing technology. (continua no link)

The Free Online Scientific Calculator :: Encalc

The Free Online Scientific Calculator :: Encalc

Dysfunctional: LaTeX using MathJax on Blogger

eX using MathJax on Blogger

UPDATE: MathJax has started hosting their own CDN powered by

Amazon's CloudFront service. 

The Javascript has been updated to use this.

A few months ago I had come across MathJax, a powerful Javascript

 engine that

 lets you display beautiful math in webpages. It turns out that

 integrating MathJax with

 Blogger is very easy. Since I don't have access to a server to host MathJax,

 I am using 

the official MathJax CDN (alternatively use this or this). To enable MathJax, 

just drop in 

(continua em Dysfunctional: LaTeX using MathJax on Blogger )


Example: $$\sum_{i=1}^{\infty} \frac{1}{i^2}$$ or inline $\sum_{i=1}^{\infty} \frac{1}{i^2}$. 


$\LaTeX$ inside blooger is great.

Ordem no caos | Agência FAPESP :: Especiais

31/05/2011

Por Elton Alisson

Agência FAPESP – Na natureza, enxames de vaga-lumes enviam sinais luminosos uns para os outros. Isso é feito inicialmente de forma autônoma, individual e independente e, sob determinadas circunstâncias, pode dar origem a um fenômeno robusto de natureza coletiva chamado sincronização. Como resultado, milhares de vaga-lumes piscam em uníssono, de forma ritmada, emitindo sinais luminosos em sincronia com os demais. (continua em Ordem no caos | Agência FAPESP :: Especiais)

Scientists detect Earth-equivalent amount of water within the moon

May 26, 2011  |  Contact: Richard Lewis |  401-863-3766

Moon speckBrown scientists found super-tiny melt inclusions in lunar soil samples that opened the door for measurements that revealed the magnitude of water inside the moon.Credit: Saal lab/Brown University

The moon has much more water than previously thought, a scientific team including Brown University has discovered. First-time measurements of lunar melt inclusions show that some parts of the lunar mantle have as much water as the Earth’s upper mantle. The results may change the prevailing theory about the Moon’s origin as well as shed new light on the origin of water at the lunar poles. Results appear in Science Express.

SIAM/LA 2012 Conference - June 18th-22nd, 2012 - Valencia

Welcome to SIAG/LA 2012 Conference Webpage

Here you find all the information about the Conference.

Linear algebra is an important area of mathematics and it is at the heart of many scientific, engineering, and industrial applications. Research and development in linear algebra include theoretical studies, algorithmic designs and implementations on advanced computer architectures, and applications to various disciplines. The SIAM Conferences on Applied Linear Algebra, organized by SIAM every three years, are the premier international conferences on applied linear algebra, which bring together diverse researchers and practitioners from academia, research laboratories, and industries all over the world to present and discuss their latest work and results on applied linear algebra.

This will be the second time the conference is held outside the United States.

The Orderly Chaos of Proteins: Scientific American

Scientific American By A. Keith Dunker and Richard W. Kriwacki  | Monday, April 18, 2011


Proteins are the stuff of life. They are the eyes, arms and legs of living cells. Even DNA, the most iconic of all molecules in biology, is important first and foremost because it contains the genes that specify the makeup of proteins. And the cells in our body differ from one another—serving as neurons, white blood cells, smell sensors, and so on—largely because they activate different sets of genes and thus produce different mixtures of proteins.

Given these molecules’ importance, one would think biologists would have long figured out the basic picture of what they look like and how they work. Yet for decades scientists embraced a picture that was incomplete. They understood, quite properly, that proteins consist of amino acids linked together like beads on a string. But they were convinced that for a protein to function correctly, its amino acid chain first had to fold into a precise, rigid configuration. Now, however, it is becoming clear that a host of proteins carry out their biological tasks without ever completely folding; others fold only as needed. In fact, perhaps as many as one third of all human proteins are “intrinsically disordered,” having at least some unfolded, or disordered, parts.

IPOPT wins the Wilkinson Prize for Numerical Software

(publicado em  NA Digest  Monday, April 11, 2011  Volume 11 : Issue 15)


From: "Jorge More'" <more@mcs.anl.gov>
Date: Thu, 7 Apr 2011 17:14:41 -0400
Subject: IPOPT wins the Wilkinson Prize for Numerical Software

The 2011 Wilkinson Prize for Numerical Software will be awarded to
Andreas Waechter (IBM T. J. Watson Research Center) and Carl Laird
(Texas A&M University) for IPOPT, a software library for solving
nonlinear, nonconvex, large-scale continuous optimization problems.
The presentation of the award will take place at the International
Congress on Industrial and Applied Mathematics (ICIAM 2011) in
Vancouver, BC, Canada.

IPOPT is an object-oriented software library that facilitates the
solution of large-scale continuous optimization problems. Interfaces
for modeling languages (AMPL, GAMS), and for MATLAB, R, Java, and
Python are included. In addition, IPOPT allows the use of several
third-party solvers of sparse, symmetric indefinite linear systems.
IPOPT has extensive documentation and a tutorial that allows users to
install and use the package in a short period of time.

IPOPT is available from the COIN-OR open source repository.  IPOPT has
been used in a wide range of applications, including automatic tuning
of transistor widths, inverse kinematics of a humanoid robot, dynamic
optimization of chemical processes, portfolio optimization and risk
management, water and wastewater management, hyperthermia treatment
planning, optimal design of masks in wafer lithography, and the
simulation of complex dynamical systems.

The Wilkinson Prize is awarded every four years to the entry that best
addresses all phases of the preparation of numerical software, and is
sponsored by Argonne National Laboratory (US), the Numerical
Algorithms Group (UK), and the National Physical Laboratory (UK).

Jorge Moré
Chair, Board of Trustees

Announcing the release of HSL 2011

(publicado em  NA Digest  Monday, April 11, 2011  Volume 11 : Issue 15)
From: Dr Jennifer Scott <jennifer.scott@stfc.ac.uk>
Date: Thu, 7 Apr 2011 14:10:03 +0100
Subject: Announcing the release of HSL 2011

The Numerical Analysis Group at the STFC Rutherford Appleton
Laboratory has released a new version of the internationally renowned
HSL Mathematical Software Library. It features major new packages
aimed at modern architectures and includes Matlab interfaces to some
of its well-known packages.

The HSL Mathematical Software library has been used worldwide for
almost 50 years and provides specialist numerical routines for
handling large-scale sparse matrix calculations quickly and reliably.

New and substantially improved packages in HSL 2011 include:
HSL_EA20 - Fractional power of self-adjoint positive-definite
          matrices via the Lanczos algorithm
HSL_MA48 - Sparse unsymmetric solver
HSL_MA64 - Dense symmetric indefinite/Hermitian factorization kernel
HSL_MA77 - Out-of-core sparse symmetric solver (indefinite and
          positive-definite systems)
HSL_MA79 - Mixed precision sparse symmetric solver
HSL_MA86 - Multicore sparse symmetric indefinite solver (real and
          complex)
HSL_MA87 - Multicore sparse Cholesky solver (real and complex)
HSL_MC78 - Sparse symmetric analyse phase
HSL_MC79 - Dulmage-Mendelsohn decomposition
HSL_ME57 - Complex sparse symmetric/Hermitian solver based on MA57
HSL_MI27 - Projected preconditioned conjugate gradient method for
          saddle-point systems
HSL_MP54 - Multicore dense Cholesky solver

HSL 2011 is freely available to academic staff and students for
teaching and research.
Further information http://www.hsl.rl.ac.uk or hsl@stfc.ac.uk

Mathematics Awareness Month - April 2011

The American Mathematical Society, the American Statistical Association, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics announce that the theme of Mathematics Awareness Month 2011 is "Unraveling Complex Systems."


Mathematics Awareness Month - April 2011

Menos gestão e mais pesquisa

(publicado em 8/4/2011 pela Agência FAPESP)


Por Fábio de Castro
Agência FAPESP – A Universidade Estadual Paulista (Unesp) acaba de aprovar a criação, em todas as suas unidades, de seções técnicas que darão apoio institucional aos seus pesquisadores.
O objetivo principal da iniciativa, de acordo com Maria José Soares Mendes Giannini, pró-reitora de Pesquisa, é permitir que os cientistas sejam poupados da pesada carga de trabalho exigida para a gestão e administração de projetos de pesquisa e possam, dessa forma, dedicar-se mais à pesquisa e à orientação de alunos. Os escritórios também darão apoio às relações internacionais.
De acordo com o diretor científico da FAPESP, Carlos Henrique de Brito Cruz, a Fundação tem estimulado fortemente as universidades paulistas a criar estruturas que garantam o apoio institucional. (continua no link)

Talks in the London Mathematical Society

(publicado em NA Digest  Monday, April 4, 2011  Volume 11 : Issue 14)


From: Arieh Iserles <ai@damtp.cam.ac.uk>
Date: Wed, 30 Mar 2011 07:36:27 -0500
Subject: LMS Invited Lectures 2011: Video Available

Streamed video of all the talks in the London Mathematical Society
Invited Lectures 2011 on compressed sensing are now available at
http://sms.cam.ac.uk/collection/1117766 .

On the Numerical Analysis of Oblique Projectors

G. W. Stewart
SIAM. J. Matrix Anal. & Appl. 32, pp. 309-348 (40 pages)
Abstract

An oblique projector is an idempotent matrix whose null space is oblique to its range, in contrast to an orthogonal projector, whose null space is orthogonal to its range. Oblique projectors arise naturally in many applications and have a substantial literature. Missing from that literature, however, are systematic expositions of their numerical properties, including their perturbation theory, their various representations, their behavior in the presence of rounding error, the computation of complementary projections, and updating algorithms. This article is intended to make a start at filling this gap. The first part of the article is devoted to the first four of the above topics, with particular attention given to complementation. In the second part, stable algorithms are derived for updating an XQRY representation of projectors, which was introduced in the first part.

http://dx.doi.org/10.1137/100792093

© 2011 Society for Industrial and Applied Mathematics

Medidas incertas

(publicado pela agência FAPESP em 01/04/2011)

Divulgação Científica

Por Maria Guimarães

Revista Pesquisa FAPESP – Como estimar a dimensão da incerteza em medições na escala quântica – e reduzir essa incerteza? “Até agora, ninguém sabia como avaliar a influência do ambiente em experimentos quânticos para estimar parâmetros”, disse o físico Luiz Davidovich, professor da Universidade Federal do Rio de Janeiro (UFRJ).
Com o trabalho publicado esta semana no site da Nature Physics, feito em parceria com seu aluno de doutorado Bruno Escher e o colega Ruynet de Matos Filho, Davidovich está ajudando a mudar essa realidade. A afirmação é dos físicos italianos Lorenzo Maccone e Vittorio Giovanetti em comentário (só para assinantes da revista) sobre a pesquisa dos brasileiros na mesma edição da revista.

(continua em  http://www.agencia.fapesp.br/materia/13671/medidas-incertas.htm)

Taking Math to Heart: Mathematical Challenges in Cardiac Electrophysiology

(publicado em Notices of the AMS

April 2011 Issue)


On his website, University of Utah mathematics professor James Keener poses the question, “Did you know that heart attacks can give you mathematics!?” Indeed, there are a host of important research problems in cardiology that appear ideal for unified attack by mathematicians, clinicians, and biomedical engineers. What follows is a survey of six ongoing Challenge Problems that (i) seem tractable and (ii) draw from a variety of mathematical subdisciplines. We hope that this article will serve as a “call to arms” for  mathematicians so that we, as a community, can contribute to an improved understanding of cardiac abnormalities.


(continua em http://www.ams.org/notices/201104/rtx110400542p.pdf)

DREAMS OF CALCULUS Perspectives on Mathematics Education

(copiado de http://www.bodysoulmath.org/books/dreams-of-calculus.pdf)

The purpose of this book is to stimulate a much needed debate on math-
ematics education reform. We do not claim that we present anything near
the whole truth, and that there are not many other points of view. We thus
invite to debate and urge other people to express their views. As scientists
we believe that it is our duty to present our own standpoints and conclu-
sions as clearly as possible, to open for scrutiny and discussion, rather than
ambiguous politically correct views, which are di±cult to question.
This book may be viewed as an introduction to our mathematics edu-
cation reform project Body&Soul based on a synthesis of Body (compu-
tational mathematics) and Soul (analytical mathematics). We do make a
case for computational mathematics, which is the new world of mathemat-
ics opened by the computer, now waiting to enter mathematics education.
But we do also propose a synthesis of this new world, with the kernel being
computational algorithms, and the traditional world of analytical math-
ematics, with analytical formulas as the kernel. In fact, algorithms are
expressed using analytical formulas before being translated into computer
code, and good analytical formulas are necessary for understanding and
insight.
Reviewers of the book have remarked that what we tell about the sit-
uation in Sweden is hard to believe, and should better be omitted. Yet,
what we tell is indeed true, and following the idea that true observations
of individual facts often may point to a universal truth, while speculations
without observations often lead nowhere, we have decided to tell (a bit of)
the story. And we believe that after all Sweden is not that special, maybe
even typical.

Cursos no portal do IMPA

(publicado em Noticiário Eletrônico da Sociedade Brasileira de Matemática [SBM] Número 13 : Fevereiro de 2011)

No site do IMPA [9] há cinco cursos completos em vídeos disponíveis

ao público. "Análise no Rn" e "Análise na reta", com Elon Lages Lima;

"Conceitos básicos de computação gráfica" com Paulo Cezar Carvalho;

"Introdução às curvas algébricas" com Carolina Araújo e

"Introduction to Lie algebras" com Reimundo Heluani.

[9] http://www.impa.br/opencms/pt/destaques/memoria/2011/cursos_video.html

Notas em Matematica Aplicada disponíveis na página da SBMAC

(publicado no Boletim da SBMAC - Ano 2 – No 4 – 24/02/2011 )

Informamos que a SBMAC mantém em sua homepage link para download dos textos das Notas em Matemática Aplicada.
Estão disponíveis 50 monografias que podem ser baixadas e utilizadas. O link para o acesso é: http://www.sbmac.org.br/notas.php
Caso tenha interesse em adquirir alguma edição, favor entrar em contato com a SBMAC através do e-mail sbmac@sbmac.org.br ou pelo telefone (16) 3373 8120.
O custo do volume é de R$15,00 + postagem.

Xtreme(ly rapid) dense linear algebra library development

Publicado no NA Digest  Monday, February 21, 2011  Volume 11 : Issue 08


From: Robert van de Geijn <rvdg@cs.utexas.edu>
Date: Mon, 14 Feb 2011 09:00:54 -0600
Subject: Xtreme(ly rapid) dense linear algebra library development

As part of the FLAME project, we have developed a number of tools for rapid
and robust linear algebra library development, yielding high-performance
implementations for sequential, multicore, multiGPU, and cluster computing.

As we recently developed an algorithm for computing inv(L) A inv(L)' (an
operation that is encountered when solving the generalized Hermitian
eigenvalue problem) I captured one of the first stages towards implementing
this operation as a video.  In this video, I show how algorithms are very
rapidly turned into M-script (Matlab/Octave) implementations.

This video may be of interest to the community since it has not only value
for experts interested in developing dense matrix algorithms, but also has
pedagogical value (I have used the tools it demonstrates in undergraduate and
graduate courses).

It can be found at  http://www.cs.utexas.edu/users/flame/Extras/FLAWN56/.  It
takes about 25 minutes to go from no implementation at all to multiple
blocked implementations which were later easily translated to C and added to
the libflame library (a modern replacement for LAPACK) and the Elemental
library (a modern replacement for ScaLAPACK).

Enjoy
Robert van de Geijn

Sobre Martin Gardner (1914–2010)

Artigo de vários autores na Notices da AMS (March 2011 Volume 58 Issue 03) sobre Martin Gardner.

Martin Gardner (1914–2010) took no mathematics  courses after high school. He attempted to learn calculus in college but failed. He graduated from the University of Chicago with a bachelor’s degree in philosophy. He did a year of graduate study, but earned no advanced degree. (continua no link acima)

Nefarious numbers

Discussão sobre alguns indicadores de publicações científicas.

Artigo de Douglas N. Arnold and Kristine K. Fowler, AMS Notices March 2011 Volume 58 Issue 03

"The impact factor has been widely adopted as a proxy for journal quality. It is used by libraries to guide purchase and renewal decisions, by researchers deciding where to publish and what to read, by tenure and promotion committees laboring under the assumption that publication in a higher impact-factor journal represents better work, and by editors and publishers as a means to evaluate and promote their journals. The impact factor for a journal in a given year is calculated by ISI (Thomson Reuters) as the average number of citations in that year to the articles the journal published in the preceding two years. It has been widely criticized on a variety of grounds:"

Esse artigo continua em http://www.ams.org/notices/201103/rtx110300434p.pdf .

Finite Element Exterior Calculus - Douglas N. Arnold

Any young (or not so young) mathematician who spends the time to master this paper will have tools that will be useful for his or her entire career.
        — Math Reviews (referring to [1])

This will be the mandatory reference for many years to come.
        — Roland Glowinski (referring to [2])

Abstract: This course will be a self-contained overview of the Finite Element Exterior Calculus (FEEC) aimed at researchers and graduate students with an interest in numerical analysis of PDE. FEEC is a theoretical approach to the design and understanding of discretizations for a wide variety of systems of partial differential equations. It brings to bear tools and structures from geometry and topology to develop and analyze numerical methods which are compatible with the structures which underlie the well-posedness of the PDE problem being posed. In FEEC, many finite element spaces are revealed as spaces of piecewise polynomial differential forms. These spaces relate to each other through a structure known as a Hilbert complex, which plays a similar role in FEEC as the standard Hilbert space theory of Galerkin methods. The FEEC viewpoint greatly clarifies and unifies the theory of stable finite element methods, especially in mixed finite element formualtions, and has enabled the development of previously elusive stable mixed finite elements for elasticity. Other applications include elliptic systems, electromagnetism, elliptic eigenvalue problems, and preconditioners.

Prerequisites: A basic familiarity with finite element methods and functional analysis (Hilbert spaces) is expected. All the necessary geometry and topology will be included in the course.

References: The course will basically cover the material in these two long papers:

1. Finite element exterior calculus, homological techniques, and applications. Douglas N. Arnold, Richard S. Falk, and Ragnar Winther. Acta Numer., 15:1-155, 2006.
2. Finite element exterior calculus: from Hodge theory to numerical stability. Douglas N. Arnold, Richard S. Falk, and Ragnar Winther. Bull. Amer. Math. Soc. (N.S.), 47:281-354, 2010.

videos em http://www.ima.umn.edu/2010-2011/special_course/.

Transformações de Möbius reveladas

Animação de Douglas N. Arnold e Jonathan Rogness  sobre as transformações de Möbius disponível no youtube: http://www.youtube.com/watch?v=JX3VmDgiFnY.

O artigo que descreve a elaboração da animação, escrito pelos mesmos autores,  e discute a matemática envolvida,  inicia assim:
"Möbius Transformations Revealed is a short film that illustrates a beautiful correspondence between Möbius transformations and motions of the sphere. The video received an Honorable Mention in the 2007 Science and Engineering Visualization Challenge,cosponsored by the National Science Foundationand Science magazine."
O restante desse artigo pode ser lido na Notices of AMS (November 2008 Volume 55 Issue 10)    ou em
http://www.ima.umn.edu/~arnold/papers/moebius.pdf.

Retrato da destruição em Nova Friburgo

Agência FAPESP – Os deslizamentos causados pelas chuvas em Nova Friburgo, na região serrana do Rio de Janeiro, em janeiro, podem ser melhor observados em um vídeo produzido pelo Instituto Nacional de Pesquisas Espaciais (Inpe), a partir da imagem de satélite aplicada sobre um modelo que confere perspectiva 3D. 


O restante desse artigo ler em:
http://www.agencia.fapesp.br/materia/13448/divulgacao-cientifica/retrato-da-destruicao.htm

No youtube ver animação em http://www.youtube.com/watch?v=Dkn1vhCFspI .

Cursos abertos do MIT

O portal do cursos abertos do MIT é uma excelente contribuição às pessoas interessadas em ciências. O link para cursos de matemática é o: http://ocw.mit.edu/courses/mathematics/.
Entre eles, gostei muito dos de cálculo de várias variáveis de 2010 e o de álgebra linear de 2010 (do premiado Prof. Gil Strang) ambos em nível de graduação com vídeos e material de apoio. Para pós-graduação, o curso de ciência computacional e engenharia, também do Prof. Strang, merece ser destacado.

Crítica de livro sobre Gregory Perelman

Artigo publicado no "Notices da AMS", de janeiro de 2011, começa com:
"Gregory Perelman’s proof of the Poincaré conjecture in 2002 and 2003 ranks as the greatest scientific achievement of the last decade. It is a great mathematical and a great human story and has been the subject of several books and will undoubtedly inspire others. The latest such book, Masha Gessen’s Perfect Rigor, focuses largely on Perelman and the media storm that surrounded him." O restante do artigo pode ser lido no link http://www.ams.org/notices/201101/rtx110100056p.pdf.

Curso sobre Álgebra Linear

A álgebra linear é um dos pilares da formação na área de exatas. O objetivo desse curso é servir como guia para um segundo estudo dessa disciplina.

O público alvo do curso são alunos no final da graduação com conhecimentos básicos em álgebra linear, cálculo e equações diferenciais, estudantes de mestrado e doutorado em ciências exatas.

Para pedir gratuitamente o curso entre em contato com o autor em luizmc at gmail dot com .

A principal referência para esse curso é o livro de Gilbert Strang, Computational Science and Engineering, Wellesley-Cambridge Press, 2007. O Prof. Strang tem os materiais de seu curso disponíveis em http://math.mit.edu/cse/ e os vídeos das aulas podem ser recuperados em http://ocw.mit.edu/courses/mathematics/18-085-computational-science-and-engineering-i-fall-2008/ .


A obra Álgebra Linear (Segundo Curso) de Luiz Mariano Carvalho - 2010 foi licenciada com uma Licença Creative Commons - Atribuição - Uso Não-Comercial - Obras Derivadas Proibidas 3.0 Brasil.

An Introduction to Lagrange Multipliers by Steuard Jensen

An Introduction to Lagrange Multipliers by Steuard Jensen

Curso sobre Álgebra Linear Computacional

Com a presença decisiva da modelagem matemática e computacional nos dias atuais, a compreensão dos fenômenos numéricos e computacionais dos métodos da álgebra linear ganha relevância.

O público alvo do curso são alunos no final da graduação com conhecimentos básicos em álgebra linear e cálculo, estudantes de mestrado e doutorado em ciências exatas e pesquisadores em álgebra linear aplicada.

Para pedir gratuitamente o curso entre em contato com o autor em luizmc at gmail dot com .

A principal referência para esse curso é o livro de Ilse Ipsen, Numerical Matrix Analysis: Linear Systems and Least Squares, SIAM, 2009. A parte referente aos métodos iterativos pode ser consultada, entre outras obras, no livro de Luiz Mariano Carvalho, Serge Gratton, Rafael Lago e Nelson Maculan - Álgebra Linear Numérica e Computacional - Métodos de Krylov para a Solução de Sistemas Lineares da Ed. Ciência Moderna, 2010 (http://www.lcm.com.br/versao_nova/index.php?Escolha=20&Livro=L00923&PHPSESSID=qhcd9naom0jkokikmsg4928n36).




A obra Álgebra Linear Computacional de Luiz Mariano Carvalho - Curso Completo - 2010 foi licenciada com uma Licença Creative Commons - Atribuição - Uso Não-Comercial - Obras Derivadas Proibidas 3.0 Brasil.

Curso sobre Avanços em Métodos de Krylov para Solução de Sistemas Lineares de Grande Porte

A Álgebra Linear Numérica aborda dois temas principais: a solução de sistemas lineares e o cálculo de autovalores. Mais recentemente, um terceiro tema vem ganhando destaque com a discussão sobre funções de matrizes. O curso trata da solução de sistemas lineares com matrizes quadradas, em particular, com a utilização de métodos iterativos de projeção em subespaços de Krylov.

Os métodos de Krylov foram propostos na segunda metade do século XX e estão disponíveis nas principais bibliotecas e códigos industriais e acadêmicos. Apesar disso, ainda não existe uma teoria justificando o seu uso para matrizes quaisquer e, em especial, para matrizes não-normais. Essa tarefa aguarda novos pesquisadores. Em paralelo, é notável a presença de matrizes de grande porte nas mais diversas áreas da engenharia, da economia, da biologia, entre outras. E assim, há tanto o desafio intelectual como a necessidade objetiva de se conseguir avanços na compreensão, nas justificativas teóricas e nas implementações computacionais dos métodos.

A organização deste curso abre uma porta de entrada ao tema. Oferecemos ferramentas da álgebra linear básica e avançada, assim como resultados recentes sobre os métodos de Krylov. A ideia é permitir, a partir de seu estudo, um acesso à vasta literatura da área.

O público alvo do curso são alunos no final da graduação com conhecimentos básicos em álgebra linear, estudantes de mestrado e doutorado em ciências exatas e pesquisadores em álgebra linear aplicada.

Para pedir gratuitamente o curso entre em contato com o autor em luizmc at gmail dot com .

Esse curso tem seu detalhamento em um livro de Luiz Mariano Carvalho, Serge Gratton, Rafael Lago e Nelson Maculan - Álgebra Linear Numérica e Computacional - Métodos de Krylov para a Solução de Sistemas Lineares da Ed. Ciência Moderna, 2010 (http://www.lcm.com.br/versao_nova/index.php?Escolha=20&Livro=L00923&PHPSESSID=qhcd9naom0jkokikmsg4928n36).


A obra Avanços em Métodos de Krylov para Solução de Sistemas Lineares de Grande Porte de Luiz Mariano Carvalho - Curso Completo - 2009 foi licenciada com uma Licença Creative Commons - Atribuição - Uso Não-Comercial - Obras Derivadas Proibidas 3.0 Brasil.

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