Radon Series on Computational and Applied Mathematics – serie
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33 produkter
Simulation of Flow in Porous Media
Applications in Energy and Environment
Av Peter Bastian, Johannes Kraus m. fl.
Inbunden, 2013
1854 kr
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Subsurface flow problems are inherently multiscale in space due to the large variability of material properties and in time due to the coupling of many different physical processes, such as advection, diffusion, reaction and phase exchange. Subsurface flow models still need considerable …
Fluid-Structure Interaction
Modeling, Adaptive Discretisations and Solvers
Av Stefan Frei, Bärbel Holm m. fl.
Inbunden, 2017
2141 kr
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This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution …
Posteriori Estimates for Partial Differential Equations
Inbunden, 2008
1701 kr
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This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori …
Gröbner Bases in Symbolic Analysis
Av Markus Rosenkranz, Dongming Wang
Inbunden, 2007
2239 kr
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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 …
Gröbner Bases in Control Theory and Signal Processing
Av Hyungju Park, Georg Regensburger
Inbunden, 2007
2532 kr
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This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing.The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of …
Robust Algebraic Multilevel Methods and Algorithms
Av Johannes Kraus, Svetozar Margenov
Inbunden, 2009
1701 kr
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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 …
Lectures on Advanced Computational Methods in Mechanics
Av Johannes Kraus, Ulrich Langer
Inbunden, 2007
1609 kr
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This book contains four survey papers related to different topics in computational mechanics, in particular (1) novel discretization and solver techniques in mechanics and (2) inverse, control, and optimization problems in mechanics. These topics were considered in lectures, seminars, tutorials, …
Iterative Regularization Methods for Nonlinear Ill-Posed Problems
Av Barbara Kaltenbacher, Andreas Neubauer m. fl.
Inbunden, 2008
2271 kr
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Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which …
Robust Static Super-Replication of Barrier Options
Inbunden, 2009
2492 kr
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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 …
Advanced Financial Modelling
Av Hansjörg Albrecher, Wolfgang J. Runggaldier m. fl.
Inbunden, 2009
2842 kr
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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 …
Theoretical Foundations and Numerical Methods for Sparse Recovery
Inbunden, 2010
2679 kr
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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, …
Regularization Methods in Banach Spaces
Av Thomas Schuster, Barbara Kaltenbacher m. fl.
Inbunden, 2012
2678 kr
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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 …
Large Scale Inverse Problems
Computational Methods and Applications in the Earth Sciences
Av Mike Cullen, Melina A Freitag m. fl.
Inbunden, 2013
1854 kr
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This book is the second volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational …
Direct and Inverse Problems in Wave Propagation and Applications
Av Ivan Graham, Ulrich Langer m. fl.
Inbunden, 2013
1854 kr
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This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. …
Finite Fields and Their Applications
Character Sums and Polynomials
Av Pascale Charpin, Alexander Pott m. fl.
Inbunden, 2013
2872 kr
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This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012.Finite fields play important roles in many application areas …
Algebraic Curves and Finite Fields
Cryptography and Other Applications
Av Jeffrey D. Achter, Alp Bassa m. fl.
Inbunden, 2014
2492 kr
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Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the …
Uniform Distribution and Quasi-Monte Carlo Methods
Discrepancy, Integration and Applications
Av Christoph Aistleitner, Jozsef Beck m. fl.
Inbunden, 2014
2492 kr
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This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013.The survey articles in this book focus on number theoretic point constructions, uniform distribution …
Tensor Numerical Methods in Scientific Computing
Inbunden, 2018
2321 kr
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The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured …
Variational Methods
In Imaging and Geometric Control
Av Maïtine Bergounioux, Gabriel Peyré m. fl.
Inbunden, 2017
2475 kr
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With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian …
Topological Optimization and Optimal Transport
In the Applied Sciences
Av Maïtine Bergounioux, Édouard Oudet m. fl.
Inbunden, 2017
2475 kr
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By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social …
Maxwell’s Equations
Hilbert Space Methods for the Theory of Electromagnetism
Av Dirk Pauly
Inbunden, 2027
2166 kr
Kommande
This monograph covers the mathematical theory and tools behind electromagnetism – governed by Maxwell’s equations. After some background in functional analysis is introduced, the spectral theory of the Maxwell operator is discussed. Results available for special limits and decompositions, such as …
Multiphysics Phase-Field Fracture
Modeling, Adaptive Discretizations, and Solvers
Av Thomas Wick
Inbunden, 2020
1742 kr
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This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments …
Hamilton-Jacobi-Bellman Equations
Numerical Methods and Applications in Optimal Control
Av Dante Kalise, Karl Kunisch m. fl.
Inbunden, 2018
2141 kr
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Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc. In this context, the application of dynamic programming techniques leads to the solution of fully nonlinear Hamilton-Jacobi-Bellman equations. This book presents the state …
Maxwell’s Equations
Analysis and Numerics
Av Ulrich Langer, Dirk Pauly m. fl.
Inbunden, 2019
2141 kr
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This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s …
Space-Time Methods
Applications to Partial Differential Equations
Av Ulrich Langer, Olaf Steinbach
Inbunden, 2019
2095 kr
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This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, …
Radon Transform
The First 100 Years and Beyond
Av Ronny Ramlau, Otmar Scherzer
Inbunden, 2019
2111 kr
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In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform throughout these years, and also discusses novel …
Multivariate Algorithms and Information-Based Complexity
Av Fred J. Hickernell, Peter Kritzer
Inbunden, 2020
1799 kr
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The contributions by leading experts in this book focus on a variety of topics of current interest related to information-based complexity, ranging from function approximation, numerical integration, numerical methods for the sphere, and algorithms with random information, to Bayesian probabilistic …
Combinatorics and Finite Fields
Difference Sets, Polynomials, Pseudorandomness and Applications
Av Kai-Uwe Schmidt, Arne Winterhof
Inbunden, 2019
2111 kr
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Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and …
Discrepancy Theory
Av Dmitriy Bilyk, Josef Dick m. fl.
Inbunden, 2020
1856 kr
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The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, …
Optimization and Control for Partial Differential Equations
Uncertainty quantification, open and closed-loop control, and shape optimization
Av Roland Herzog, Matthias Heinkenschloss m. fl.
Inbunden, 2022
2296 kr
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This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of …
