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Reliable Methods for Computer Simulation
Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error e...
Accuracy of Mathematical Models
The expansion of scientific knowledge and the development of technology are strongly connected with quantitative analysis of mathematical models. Accuracy and reliability are the key properties we wish to understand and control.This book presents a unified approach to the analysis of accuracy of deterministic mathematical models described by variational problems and partial differential equations of elliptic type. It is based on new mathematical methods developed to estimate the distance between a solution of a boundary value problem and any function in the admissible functional class associated with the problem in question. The theory is presented for a wide class of elliptic variational problems. It is applied to the investigation of modelling errors arising in dimension reduction, homogenization, simplification, and various conversion methods (penalization, linearization, regularization, etc.). A collection of examples illustrates the performance of error estimates.
Art Books
Expanded to twice as many entries as the 1985 edition, and updated with new publications, new editions of previous entries, titles missed the first time around, more of the artists' own writings, and monographs that deal with significant aspects or portions of an artist's work though not all of it. The listing is alphabetical by artist, and the index by author. The works cited include analytical and critical, biographical, and enumerative; their formats range from books and catalogues raisonnes to exhibition and auction sale catalogues. A selection of biographical dictionaries containing information on artists is arranged by country. Annotation copyrighted by Book News, Inc., Portland, OR
Adaptive Finite Element Methods for Differential Equations
These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arb...
Diaghilev
This magnificent new biography of the extraordinary impresario of the arts and creator of the Ballets Russes 100 years ago draws on important new research, notably from Russia. ‘Scheijen masterfully recounts the phenomenal way in which Diaghilev contrived, under virtually impossible circumstances, to nurture a sequence of works … he triumphs in making clear the degree to which, despite the cosmopolitanism of so much of the work, Russia was at the core of Diaghilev' Simon Callow, Guardian ‘It's a fabulous, complicated, very sexy story and Sjeng Scheijen takes us through it with a steadying calm that fudges none of the outrage on or off stage' Duncan Fallowell, Daily Express 'Magnificent … filled with extraordinary glamour' Rupert Christiansen, Daily Mail
Russian Painting
From the 18th century to the 20th, this book gives a panorama of Russian painting not equalled anywhere else. Russian culture developed in contact with the wider European influence, but retained strong native intonations. It is a culture between East and West, and both influences in together. The book begins with Icons, and it is precisely Icon-painting which gave Russian artist their peculiar preoccupation with ethical questions and a certain kind of palette. It goes on the expound the duality of their art, and point out the originality of their contribution to world art. The illustrations cover all genres and styles of painting in astonishing variety. Such figures as Borovokovsky, Rokotov, Levitsky, Brullov, Fedatov, Repin, Shishkin and Levitan and many more are in these pages.
My Life in Art
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From Russia
The rich tradition of French painting was an important influence on Russian art from the mid-nineteenth century to the 1920s, a period that saw the rise of many of the most important movements in modern art. A magnificent visual record of an unprecedented event, this book, the catalogue of an ambitious exhibition of master paintings from the four greatest museums of Russia, examines the interaction of these two great cultures. Drawing on the collections of the State Russian Museum and the Pushkin Museum in Moscow and the Tretyakov Gallery and the State Hermitage Museum in St. Petersburg, the book presents outstanding examples of Salon painting, Impressionism, Fauvism, and Cubism in France, a...
My Life in Art
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75 Years of Mathematics of Computation
The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering top...
