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Numerical methods for viscosity solutions and applications [[electronic resource] /] / editors, Maurizio Falcone, Charalampos Makridakis
Numerical methods for viscosity solutions and applications [[electronic resource] /] / editors, Maurizio Falcone, Charalampos Makridakis
Pubbl/distr/stampa Singapore, : World Scientific, c2001
Descrizione fisica 1 online resource (249 p.)
Disciplina 515
Altri autori (Persone) FalconeMaurizio
MakridakisCharalampos
Collana Series on advances in mathematics for applied sciences
Soggetto topico Viscosity solutions
Calculus of variations
Soggetto genere / forma Electronic books.
ISBN 1-281-95136-6
9786611951368
981-279-980-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; CONTENTS; Geometrical Optics and Viscosity Solutions; 1 High frequency waves and WKB method; 2 The Kravtsov-Ludwig method; 3 Multivalued solutions to the eikonal equation and shadow zones; References; Computation of Vorticity Evolution for a Cylindrical Type-II Superconductor Subject to Parallel and Transverse Applied Magnetic Fields; 1 Introduction; 2 The Models; 3 Discretization of the Models; 4 Numerical Computations; References; A Characterization of the Value Function for a Class of Degenerate Control Problems; 1 Introduction; 2 Assumptions and definitions
3 A characterization of the value function4 Approximation of the value function; References; Some Microstructures in Three Dimensions; 1 Introduction; 2 A three dimensional example; 3 Minimizing sequences; 4 Numerical experiments; References; Convergence of Numerical Schemes for the Approximation of Level Set Solutions to Mean Curvature Flow; 1 Introduction; 2 Background; 3 The Crandall-Lions scheme; 4 Finite element method; References; Optimal Discretization Steps in Semi-Lagrangian Approximation of First-Order PDEs; 1 Introduction; 2 Construction of the schemes and basic convergence theory
3 Fully discrete second and third order schemes4 Relationship between time and space step; 5 Numerical tests; Conclusions; References; Convergence Past Singularities to the Forced Mean Curvature Flow for a Modified Reaction-Diffusion Approach; 1 Introduction; 2 Approximate Traveling Wave; 3 Viscosity Solutions; 4 Supersolutions; 5 Comparison Lemma; 6 Convergence and interfaces error estimates; References; The Viscosity-Duality Solutions Approach to Geometric Optics for the Helmholtz Equation; 1 Weak solutions to the differential problem; 2 A class of numerical approximations
3 Numerical results4 Conclusion; References; Adaptive Grid Generation for Evolutive Hamilton-Jacobi-Bellman Equations; 1 Introduction; 2 Discretization in time and space; 3 Error estimation; 4 Implementation details; 5 Numerical examples; References; Solution and Application of Anisotropic Curvature Driven Evolution of Curves (and Surfaces); 1 Introduction; 2 Direct approach using porous-medium like equations; 3 Direct approach by intrinsic heat equations; 4 Solution using level set equation; 5 Phase field approximation of interface motion; References
An Adaptive Scheme on Unstructured Grids for the Shape-From-Shading Problem1 Introduction; 2 A fixed grid fully discrete scheme; 3 A local error indicator; 4 The adaptive grid algorithm; 5 Implementation of the algorithm; 6 Numerical experiments; References; On A Posteriori Error Estimation For Constant Obstacle Problems; 1 Introduction; 2 Results and their discussion; 3 Proofs; References
Record Nr. UNINA-9910454364803321
Singapore, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical methods for viscosity solutions and applications [[electronic resource] /] / editors, Maurizio Falcone, Charalampos Makridakis
Numerical methods for viscosity solutions and applications [[electronic resource] /] / editors, Maurizio Falcone, Charalampos Makridakis
Pubbl/distr/stampa Singapore, : World Scientific, c2001
Descrizione fisica 1 online resource (249 p.)
Disciplina 515
Altri autori (Persone) FalconeMaurizio
MakridakisCharalampos
Collana Series on advances in mathematics for applied sciences
Soggetto topico Viscosity solutions
Calculus of variations
ISBN 1-281-95136-6
9786611951368
981-279-980-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; CONTENTS; Geometrical Optics and Viscosity Solutions; 1 High frequency waves and WKB method; 2 The Kravtsov-Ludwig method; 3 Multivalued solutions to the eikonal equation and shadow zones; References; Computation of Vorticity Evolution for a Cylindrical Type-II Superconductor Subject to Parallel and Transverse Applied Magnetic Fields; 1 Introduction; 2 The Models; 3 Discretization of the Models; 4 Numerical Computations; References; A Characterization of the Value Function for a Class of Degenerate Control Problems; 1 Introduction; 2 Assumptions and definitions
3 A characterization of the value function4 Approximation of the value function; References; Some Microstructures in Three Dimensions; 1 Introduction; 2 A three dimensional example; 3 Minimizing sequences; 4 Numerical experiments; References; Convergence of Numerical Schemes for the Approximation of Level Set Solutions to Mean Curvature Flow; 1 Introduction; 2 Background; 3 The Crandall-Lions scheme; 4 Finite element method; References; Optimal Discretization Steps in Semi-Lagrangian Approximation of First-Order PDEs; 1 Introduction; 2 Construction of the schemes and basic convergence theory
3 Fully discrete second and third order schemes4 Relationship between time and space step; 5 Numerical tests; Conclusions; References; Convergence Past Singularities to the Forced Mean Curvature Flow for a Modified Reaction-Diffusion Approach; 1 Introduction; 2 Approximate Traveling Wave; 3 Viscosity Solutions; 4 Supersolutions; 5 Comparison Lemma; 6 Convergence and interfaces error estimates; References; The Viscosity-Duality Solutions Approach to Geometric Optics for the Helmholtz Equation; 1 Weak solutions to the differential problem; 2 A class of numerical approximations
3 Numerical results4 Conclusion; References; Adaptive Grid Generation for Evolutive Hamilton-Jacobi-Bellman Equations; 1 Introduction; 2 Discretization in time and space; 3 Error estimation; 4 Implementation details; 5 Numerical examples; References; Solution and Application of Anisotropic Curvature Driven Evolution of Curves (and Surfaces); 1 Introduction; 2 Direct approach using porous-medium like equations; 3 Direct approach by intrinsic heat equations; 4 Solution using level set equation; 5 Phase field approximation of interface motion; References
An Adaptive Scheme on Unstructured Grids for the Shape-From-Shading Problem1 Introduction; 2 A fixed grid fully discrete scheme; 3 A local error indicator; 4 The adaptive grid algorithm; 5 Implementation of the algorithm; 6 Numerical experiments; References; On A Posteriori Error Estimation For Constant Obstacle Problems; 1 Introduction; 2 Results and their discussion; 3 Proofs; References
Record Nr. UNINA-9910782387603321
Singapore, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical methods for viscosity solutions and applications / / editors, Maurizio Falcone, Charalampos Makridakis
Numerical methods for viscosity solutions and applications / / editors, Maurizio Falcone, Charalampos Makridakis
Edizione [1st ed.]
Pubbl/distr/stampa Singapore, : World Scientific, c2001
Descrizione fisica 1 online resource (249 p.)
Disciplina 515
Altri autori (Persone) FalconeMaurizio
MakridakisCharalampos
Collana Series on advances in mathematics for applied sciences
Soggetto topico Viscosity solutions
Calculus of variations
ISBN 1-281-95136-6
9786611951368
981-279-980-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword; CONTENTS; Geometrical Optics and Viscosity Solutions; 1 High frequency waves and WKB method; 2 The Kravtsov-Ludwig method; 3 Multivalued solutions to the eikonal equation and shadow zones; References; Computation of Vorticity Evolution for a Cylindrical Type-II Superconductor Subject to Parallel and Transverse Applied Magnetic Fields; 1 Introduction; 2 The Models; 3 Discretization of the Models; 4 Numerical Computations; References; A Characterization of the Value Function for a Class of Degenerate Control Problems; 1 Introduction; 2 Assumptions and definitions
3 A characterization of the value function4 Approximation of the value function; References; Some Microstructures in Three Dimensions; 1 Introduction; 2 A three dimensional example; 3 Minimizing sequences; 4 Numerical experiments; References; Convergence of Numerical Schemes for the Approximation of Level Set Solutions to Mean Curvature Flow; 1 Introduction; 2 Background; 3 The Crandall-Lions scheme; 4 Finite element method; References; Optimal Discretization Steps in Semi-Lagrangian Approximation of First-Order PDEs; 1 Introduction; 2 Construction of the schemes and basic convergence theory
3 Fully discrete second and third order schemes4 Relationship between time and space step; 5 Numerical tests; Conclusions; References; Convergence Past Singularities to the Forced Mean Curvature Flow for a Modified Reaction-Diffusion Approach; 1 Introduction; 2 Approximate Traveling Wave; 3 Viscosity Solutions; 4 Supersolutions; 5 Comparison Lemma; 6 Convergence and interfaces error estimates; References; The Viscosity-Duality Solutions Approach to Geometric Optics for the Helmholtz Equation; 1 Weak solutions to the differential problem; 2 A class of numerical approximations
3 Numerical results4 Conclusion; References; Adaptive Grid Generation for Evolutive Hamilton-Jacobi-Bellman Equations; 1 Introduction; 2 Discretization in time and space; 3 Error estimation; 4 Implementation details; 5 Numerical examples; References; Solution and Application of Anisotropic Curvature Driven Evolution of Curves (and Surfaces); 1 Introduction; 2 Direct approach using porous-medium like equations; 3 Direct approach by intrinsic heat equations; 4 Solution using level set equation; 5 Phase field approximation of interface motion; References
An Adaptive Scheme on Unstructured Grids for the Shape-From-Shading Problem1 Introduction; 2 A fixed grid fully discrete scheme; 3 A local error indicator; 4 The adaptive grid algorithm; 5 Implementation of the algorithm; 6 Numerical experiments; References; On A Posteriori Error Estimation For Constant Obstacle Problems; 1 Introduction; 2 Results and their discussion; 3 Proofs; References
Record Nr. UNINA-9910809086803321
Singapore, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui