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- catalog abstract "Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.".
- catalog contributor b11002015.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation -- Appendix Notation -- References -- Index.".
- catalog extent "xi, 148 p. ;".
- catalog identifier "3540647716 (pbk. : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1694.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1694".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 515/.64 21".
- catalog subject "Calculus of variations.".
- catalog subject "Convergence.".
- catalog subject "Differential equations, partial.".
- catalog subject "Functions of bounded variation.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Perturbation (Mathematics)".
- catalog subject "QA3 .L28 no. 1694 QA316".
- catalog tableOfContents "Introduction -- Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation -- Appendix Notation -- References -- Index.".
- catalog title "Approximation of free-discontinuity problems / Andrea Braides.".
- catalog type "text".