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Gr Bner Bases In Symbolic Analysis

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Gr Bner Bases In Symbolic Analysis

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Author : Markus Rosenkranz
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Gr Bner Bases In Symbolic Analysis written by Markus Rosenkranz and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.

This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.

Gr Bner Bases In Symbolic Analysis

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Author : Markus Rosenkranz
language : en
Publisher: Walter de Gruyter
Release Date : 2007

Algebraic Biology

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Author : Katsuhisa Horimoto
language : en
Publisher: Springer
Release Date : 2008-07-30

Algebraic Biology written by Katsuhisa Horimoto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-30 with Computers categories.

This volume contains the proceedings of the Third International Conference on Algebraic Biology (AB 2008). Jointly organized by the National Institute of Advanced Industrial Science and Technology (AIST), Tokyo, and the Research Institute for Symbolic Computation (RISC), Hagenberg, Austria, it was held from July 31 to August 2, 2008 in the Castle of Hagenberg. Algebraic biology is an interdisciplinary forum for research on all aspects of applying symbolic computation in biology. The ?rst conference on algebraic biology (AB 2005) was held November 28–30, 2005 in Tokyo, the second during July 2–4, 2007 in Hagenberg. The AB conference series is intended as a bridge between life sciences and symbolic computation: On the one hand, new insights inbiologyarefoundbypowerfulsymbolicmethods;ontheotherhand,biological problems suggestnew algebraicstructures andalgorithms.While this pro?le has been established in the previous proceedings, the papers in the present volume demonstrate the continuous growth of algebraic biology. We received 27 submissions from 14 countries (Australia, Austria, Canada, China, Colombia, France, Germany, Italy, Japan, Norway, Russia, Switzerland, UK, USA), and 14 papers were accepted for publication. Each submission was assigned to at least three ProgramCommittee members, who carefully reviewed the papers, in many cases with the help of external referees. The reviews were discussedby the ProgramCommittee for oneweekvia the EasyChairconference management system.

Regularization Methods In Banach Spaces

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Author : Thomas Schuster
language : en
Publisher: Walter de Gruyter
Release Date : 2012-07-30

Regularization Methods In Banach Spaces written by Thomas Schuster and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Mathematics categories.

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gauß-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.

Robust Algebraic Multilevel Methods And Algorithms

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Author : Johannes Kraus
language : en
Publisher: Walter de Gruyter
Release Date : 2009

Robust Algebraic Multilevel Methods And Algorithms written by Johannes Kraus and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods. The authors provide a systematic presentation of the recent advances in robust algebraic multilevel methods and algorithms, e.g., the preconditioned conjugate gradient method, algebraic multilevel iteration (AMLI) preconditioners, the classical algebraic multigrid (AMG) method and its recent modifications, namely AMG using element interpolation (AMGe) and AMG based on smoothed aggregation. The first six chapters can serve as a short introductory course on the theory of AMLI methods and algorithms. The next part of the monograph is devoted to more advanced topics, including the description of new generation AMG methods, AMLI methods for discontinuous Galerkin systems, looking-free algorithms for coupled problems etc., ending with important practical issues of implementation and challenging applications. This second part is addressed to some more experienced students and practitioners and can be used to complete a more advanced course on robust AMLI and AMG methods and their efficient application. This book is intended for mathematicians, engineers, natural scientists etc.

Advanced Financial Modelling

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Author : Hansjörg Albrecher
language : en
Publisher: Walter de Gruyter
Release Date : 2009-12-15

Advanced Financial Modelling written by Hansjörg Albrecher and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-15 with Mathematics categories.

This book is a collection of state–of–the–art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a 'Special Semester on Stochastics with Emphasis on Finance' that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria.

Theoretical Foundations And Numerical Methods For Sparse Recovery

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Author : Massimo Fornasier
language : en
Publisher: Walter de Gruyter
Release Date : 2010-07-30

Theoretical Foundations And Numerical Methods For Sparse Recovery written by Massimo Fornasier and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-30 with Mathematics categories.

The present collection is the very first contribution of this type in the field of sparse recovery. Compressed sensing is one of the important facets of the broader concept presented in the book, which by now has made connections with other branches such as mathematical imaging, inverse problems, numerical analysis and simulation. The book consists of four lecture notes of courses given at the Summer School on "Theoretical Foundations and Numerical Methods for Sparse Recovery" held at the Johann Radon Institute for Computational and Applied Mathematics in Linz, Austria, in September 2009. This unique collection will be of value for a broad community and may serve as a textbook for graduate courses. From the contents: "Compressive Sensing and Structured Random Matrices" by Holger Rauhut "Numerical Methods for Sparse Recovery" by Massimo Fornasier "Sparse Recovery in Inverse Problems" by Ronny Ramlau and Gerd Teschke "An Introduction to Total Variation for Image Analysis" by Antonin Chambolle, Vicent Caselles, Daniel Cremers, Matteo Novaga and Thomas Pock

Robust Static Super Replication Of Barrier Options

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Author : Jan H. Maruhn
language : en
Publisher: Walter de Gruyter
Release Date : 2009-07-14

Robust Static Super Replication Of Barrier Options written by Jan H. Maruhn and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-14 with Mathematics categories.

Static hedge portfolios for barrier options are very sensitive with respect to changes of the volatility surface. To prevent potentially significant hedging losses this book develops a static super-replication strategy with market-typical robustness against volatility, skew and liquidity risk as well as model errors. Empirical results and various numerical examples confirm that the static superhedge successfully eliminates the risk of a changing volatility surface. Combined with associated sub-replication strategies this leads to robust price bounds for barrier options which are also relevant in the context of dynamic hedging. The mathematical techniques used to prove appropriate existence, duality and convergence results range from financial mathematics, stochastic and semi-infinite optimization, convex analysis and partial differential equations to semidefinite programming.

Mathematical Congress Of The Americas

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Author : Jimmy Petean
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-01-25

Mathematical Congress Of The Americas written by Jimmy Petean and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-25 with Mathematics categories.

This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.

Gr Bner Bases And Applications

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Author : Bruno Buchberger
language : en
Publisher: Cambridge University Press
Release Date : 1998-02-26

Gr Bner Bases And Applications written by Bruno Buchberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-26 with Mathematics categories.

Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Gr Bner Bases In Symbolic Analysis

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