top

  Info

  • Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.

  Info

  • Utilizzare questo link per rimuovere la selezione effettuata.

Biblioteca

MARC Lista (tabellare)
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations [[electronic resource] /] / by Emmanuel Frénod
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations [[electronic resource] /] / by Emmanuel Frénod
Autore Frénod Emmanuel
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XI, 126 p. 18 illus., 9 illus. in color.)
Disciplina 515.24
Collana Lecture Notes in Mathematics
Soggetto topico Numerical analysis
Numerical Analysis
ISBN 3-319-64668-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Two-Scale Convergence -- 1 Introduction -- 1.1 First Statements on Two-Scale Convergence -- 1.2 Two-Scale Convergence and Homogenization -- 1.2.1 How Homogenization Led to the Concept of Two-Scale Convergence -- 1.2.2 A Remark Concerning Periodicity -- 1.2.3 A Remark Concerning Weak-* Convergence -- 2 Two-Scale Convergence - Definition and Results -- 2.1 Background Material on Two-Scale Convergence -- 2.1.1 Definitions -- 2.1.2 Link with Weak Convergence -- 2.2 Two-Scale Convergence Criteria -- 2.2.1 Injection Lemma -- 2.2.2 Two-Scale Convergence Criterion -- 2.2.3 Strong Two-Scale Convergence Criterion -- 3 Applications -- 3.1 Homogenization of ODE -- 3.1.1 Textbook Case, Setting and Asymptotic Expansion -- 3.1.2 Justification of Asymptotic Expansion Using Two-Scale Convergence -- 3.2 Homogenization of Singularly-Perturbed ODE -- 3.2.1 Equation of Interest and Setting -- 3.2.2 Asymptotic Expansion Results -- 3.2.3 Asymptotic Expansion Calculations -- 3.2.4 Justification Using Two-Scale Convergence I: Results -- 3.2.5 Justification Using Two-Scale Convergence II: Proofs -- 3.3 Homogenization of Hyperbolic PDE -- 3.3.1 Textbook Case and Setting -- 3.3.2 Order-0 Homogenization -- 3.3.3 Order-1 Homogenization -- 3.4 Homogenization of Singularly-Perturbed Hyperbolic PDE -- 3.4.1 Equation of Interest and Setting -- 3.4.2 An a Priori Estimate -- 3.4.3 Weak Formulation with Oscillating Test Functions -- 3.4.4 Order-0 Homogenization - Constraint -- 3.4.5 Order-0 Homogenization - Equation for V -- 3.4.6 Order-1 Homogenization - Preparations: Equations for U and u -- 3.4.7 Order-1 Homogenization - Strong Two-Scale Convergence of u" -- 3.4.8 Order-1 Homogenization - The Function W1 -- 3.4.9 Order-1 Homogenization - A Priori Estimate and Convergence -- 3.4.10 Order-1 Homogenization - Constraint -- 3.4.11 Order-1 Homogenization - Equation for V1 -- 3.4.12 Concerning Numerics -- II Two-Scale Numerical Methods -- 4 Introduction -- 5 Two-Scale Method for Object Drift with Tide -- 5.1 Motivation and Model -- 5.1.1 Motivation -- 5.1.2 Model of Interest -- 5.2 Two-Scale Asymptotic Expansion -- 5.2.1 Asymptotic Expansion -- 5.2.2 Discussion -- 5.3 Two-Scale Numerical Method -- 5.3.1 Construction of the Two-Scale Numerical Method -- 5.3.2 Validation of the Two-Scale Numerical Method -- 6 Two-Scale Method for Beam -- 6.1 Some Words About Beams and Model of Interest -- 6.1.1 Beams -- 6.1.2 Equations of Interest -- 6.1.3 Two-Scale Convergence -- 6.2 Two-Scale PIC Method -- 6.2.1 Formulation of the Two-Scale Numerical Method -- 6.2.2 Numerical Results.
Record Nr. UNISA-996466521503316
Frénod Emmanuel  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations / / by Emmanuel Frénod
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations / / by Emmanuel Frénod
Autore Frénod Emmanuel
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XI, 126 p. 18 illus., 9 illus. in color.)
Disciplina 515.24
Collana Lecture Notes in Mathematics
Soggetto topico Numerical analysis
Numerical Analysis
ISBN 3-319-64668-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto I Two-Scale Convergence -- 1 Introduction -- 1.1 First Statements on Two-Scale Convergence -- 1.2 Two-Scale Convergence and Homogenization -- 1.2.1 How Homogenization Led to the Concept of Two-Scale Convergence -- 1.2.2 A Remark Concerning Periodicity -- 1.2.3 A Remark Concerning Weak-* Convergence -- 2 Two-Scale Convergence - Definition and Results -- 2.1 Background Material on Two-Scale Convergence -- 2.1.1 Definitions -- 2.1.2 Link with Weak Convergence -- 2.2 Two-Scale Convergence Criteria -- 2.2.1 Injection Lemma -- 2.2.2 Two-Scale Convergence Criterion -- 2.2.3 Strong Two-Scale Convergence Criterion -- 3 Applications -- 3.1 Homogenization of ODE -- 3.1.1 Textbook Case, Setting and Asymptotic Expansion -- 3.1.2 Justification of Asymptotic Expansion Using Two-Scale Convergence -- 3.2 Homogenization of Singularly-Perturbed ODE -- 3.2.1 Equation of Interest and Setting -- 3.2.2 Asymptotic Expansion Results -- 3.2.3 Asymptotic Expansion Calculations -- 3.2.4 Justification Using Two-Scale Convergence I: Results -- 3.2.5 Justification Using Two-Scale Convergence II: Proofs -- 3.3 Homogenization of Hyperbolic PDE -- 3.3.1 Textbook Case and Setting -- 3.3.2 Order-0 Homogenization -- 3.3.3 Order-1 Homogenization -- 3.4 Homogenization of Singularly-Perturbed Hyperbolic PDE -- 3.4.1 Equation of Interest and Setting -- 3.4.2 An a Priori Estimate -- 3.4.3 Weak Formulation with Oscillating Test Functions -- 3.4.4 Order-0 Homogenization - Constraint -- 3.4.5 Order-0 Homogenization - Equation for V -- 3.4.6 Order-1 Homogenization - Preparations: Equations for U and u -- 3.4.7 Order-1 Homogenization - Strong Two-Scale Convergence of u" -- 3.4.8 Order-1 Homogenization - The Function W1 -- 3.4.9 Order-1 Homogenization - A Priori Estimate and Convergence -- 3.4.10 Order-1 Homogenization - Constraint -- 3.4.11 Order-1 Homogenization - Equation for V1 -- 3.4.12 Concerning Numerics -- II Two-Scale Numerical Methods -- 4 Introduction -- 5 Two-Scale Method for Object Drift with Tide -- 5.1 Motivation and Model -- 5.1.1 Motivation -- 5.1.2 Model of Interest -- 5.2 Two-Scale Asymptotic Expansion -- 5.2.1 Asymptotic Expansion -- 5.2.2 Discussion -- 5.3 Two-Scale Numerical Method -- 5.3.1 Construction of the Two-Scale Numerical Method -- 5.3.2 Validation of the Two-Scale Numerical Method -- 6 Two-Scale Method for Beam -- 6.1 Some Words About Beams and Model of Interest -- 6.1.1 Beams -- 6.1.2 Equations of Interest -- 6.1.3 Two-Scale Convergence -- 6.2 Two-Scale PIC Method -- 6.2.1 Formulation of the Two-Scale Numerical Method -- 6.2.2 Numerical Results.
Record Nr. UNINA-9910257381103321
Frénod Emmanuel  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui