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Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat
| Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (179 pages) : illustrations |
| Disciplina | 658.4034 |
| Collana | SEMA SIMAI Springer |
| Soggetto topico |
Calculus
Applied mathematics Functions Harmonic analysis Mathematical analysis Càlcul Matemàtica aplicada Funcions Anàlisi harmònica Anàlisi matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61803-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Editors and Contributors -- About the Editors -- Contributors -- A Numerical Approach to a Nonlinear Diffusion Model for Self-Organized Criticality Phenomena -- 1 Introduction -- 2 The Basic Model -- 3 Numerical Approximation on a Fixed Grid -- 4 Approximation on a Synchronized Family of Grids -- 5 Numerical Tests -- References -- Approximation of 3D Stokes Flows in Fractal Domains -- 1 Introduction -- 2 Preliminaries -- 3 Existence and Uniqueness Results -- 4 Regularity in Weighted Sobolev Spaces -- 5 Mean Shear Stress -- 6 Numerical Approximation -- 7 Numerical Simulations -- References -- ∞-Laplacian Obstacle Problems in Fractal Domains -- 1 Introduction -- 2 Fractal Domains, Approximating Domains and Fibers -- 3 Setting and Asymptotic Behavior -- 4 Uniqueness and Perspectives -- 5 Uniform and Error Estimates -- References -- Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- 1 Introduction -- 2 Dirichlet Form on the Koch Snowflake -- 3 Dirichlet Form on the Snowflake Domain -- 4 Inductive Mesh Construction and Discrete Energy Forms -- 5 Numerical Results -- 5.1 Algorithm and Implementation -- 5.2 The Eigenvalue Counting Function -- 5.3 Eigenvectors and Eigenvalues in the Low Eigenvalue Regime -- 5.4 Localization in the High Eigenvalue Regime -- 6 A Landscape Approach to High Frequency Localization -- References -- On the Dimension of the Sierpinski Gasket in l2 -- 1 Introduction -- 2 Invariant Sets -- 2.1 Infinite Dimensional Sierpinski Gasket -- 2.2 Hausdorff Dimension of Invariant Sets -- 2.3 N-Dimensional Simplices -- 3 Invariant Measures -- References -- On the External Approximation of Sobolev Spaces by M-Convergence -- 1 Introduction -- 2 Sobolev Space Approximations -- 3 The M-Convergence Result -- 4 Proof of Lemma 1 -- 5 Proof of Lemma 2 -- 6 Comments -- References.
Generalization of Rellich-Kondrachov Theorem and Trace Compactness for Fractal Boundaries -- 1 Introduction -- 2 Sobolev Extension Domains -- 3 Trace on the Boundary and Green Formulas -- 3.1 Framework of d-Sets and Markov's Local Inequality -- 3.2 General Framework of Closed Subsets of Rn -- 3.3 Integration by Parts and the Green Formula -- 4 Sobolev Admissible Domains and the Generalization of the Rellich-Kondrachov Theorem -- 5 Compactness of the Trace -- 6 Application to the Poisson Boundary Valued and Spectral Problems -- References. |
| Record Nr. | UNISA-996466550503316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat
| Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (179 pages) : illustrations |
| Disciplina | 658.4034 |
| Collana | SEMA SIMAI Springer |
| Soggetto topico |
Calculus
Applied mathematics Functions Harmonic analysis Mathematical analysis Càlcul Matemàtica aplicada Funcions Anàlisi harmònica Anàlisi matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61803-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Editors and Contributors -- About the Editors -- Contributors -- A Numerical Approach to a Nonlinear Diffusion Model for Self-Organized Criticality Phenomena -- 1 Introduction -- 2 The Basic Model -- 3 Numerical Approximation on a Fixed Grid -- 4 Approximation on a Synchronized Family of Grids -- 5 Numerical Tests -- References -- Approximation of 3D Stokes Flows in Fractal Domains -- 1 Introduction -- 2 Preliminaries -- 3 Existence and Uniqueness Results -- 4 Regularity in Weighted Sobolev Spaces -- 5 Mean Shear Stress -- 6 Numerical Approximation -- 7 Numerical Simulations -- References -- ∞-Laplacian Obstacle Problems in Fractal Domains -- 1 Introduction -- 2 Fractal Domains, Approximating Domains and Fibers -- 3 Setting and Asymptotic Behavior -- 4 Uniqueness and Perspectives -- 5 Uniform and Error Estimates -- References -- Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- 1 Introduction -- 2 Dirichlet Form on the Koch Snowflake -- 3 Dirichlet Form on the Snowflake Domain -- 4 Inductive Mesh Construction and Discrete Energy Forms -- 5 Numerical Results -- 5.1 Algorithm and Implementation -- 5.2 The Eigenvalue Counting Function -- 5.3 Eigenvectors and Eigenvalues in the Low Eigenvalue Regime -- 5.4 Localization in the High Eigenvalue Regime -- 6 A Landscape Approach to High Frequency Localization -- References -- On the Dimension of the Sierpinski Gasket in l2 -- 1 Introduction -- 2 Invariant Sets -- 2.1 Infinite Dimensional Sierpinski Gasket -- 2.2 Hausdorff Dimension of Invariant Sets -- 2.3 N-Dimensional Simplices -- 3 Invariant Measures -- References -- On the External Approximation of Sobolev Spaces by M-Convergence -- 1 Introduction -- 2 Sobolev Space Approximations -- 3 The M-Convergence Result -- 4 Proof of Lemma 1 -- 5 Proof of Lemma 2 -- 6 Comments -- References.
Generalization of Rellich-Kondrachov Theorem and Trace Compactness for Fractal Boundaries -- 1 Introduction -- 2 Sobolev Extension Domains -- 3 Trace on the Boundary and Green Formulas -- 3.1 Framework of d-Sets and Markov's Local Inequality -- 3.2 General Framework of Closed Subsets of Rn -- 3.3 Integration by Parts and the Green Formula -- 4 Sobolev Admissible Domains and the Generalization of the Rellich-Kondrachov Theorem -- 5 Compactness of the Trace -- 6 Application to the Poisson Boundary Valued and Spectral Problems -- References. |
| Record Nr. | UNINA-9910484636403321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Functiones et approximatio, commentarii mathematici
| Functiones et approximatio, commentarii mathematici |
| Pubbl/distr/stampa | Poznań : , : Adam Mickiewicz University, Faculty of Mathematics and Computer Science |
| Soggetto topico |
Functions
Approximation theory Funcions Teoria de l'aproximació |
| Soggetto genere / forma |
Periodicals.
Revistes electròniques. |
| ISSN | 2080-9433 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Funct. Approx. Comment. Math
Functiones et approximatio |
| Record Nr. | UNINA-9910130747003321 |
| Poznań : , : Adam Mickiewicz University, Faculty of Mathematics and Computer Science | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized Mathieu series / / Živorad Tomovski, Delčo Leskovski, Stefan Gerhold
| Generalized Mathieu series / / Živorad Tomovski, Delčo Leskovski, Stefan Gerhold |
| Autore | Tomovski Živorad |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (167 pages) |
| Disciplina | 515.54 |
| Soggetto topico |
Funcions
Equacions Mathieu functions Mathieu equation |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-84817-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466560703316 |
Tomovski Živorad
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Generalized Mathieu series / / Živorad Tomovski, Delčo Leskovski, Stefan Gerhold
| Generalized Mathieu series / / Živorad Tomovski, Delčo Leskovski, Stefan Gerhold |
| Autore | Tomovski Živorad |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (167 pages) |
| Disciplina | 515.54 |
| Soggetto topico |
Funcions
Equacions Mathieu functions Mathieu equation |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-84817-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910510554903321 |
|
Tomovski Živorad
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimisation convexe et inéquations variationnelles monotones / / by Jean-Pierre Crouzeix, Abdelhak Hassouni, Eladio Ocaña-Anaya
| Optimisation convexe et inéquations variationnelles monotones / / by Jean-Pierre Crouzeix, Abdelhak Hassouni, Eladio Ocaña-Anaya |
| Autore | Crouzeix Jean-Pierre |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (XIII, 194 p. 1 ill.) |
| Disciplina |
519.6
515.64 |
| Collana | Mathématiques et Applications |
| Soggetto topico |
Mathematical optimization
Calculus of variations Functional analysis Convex geometry Discrete geometry Calculus of Variations and Optimization Functional Analysis Convex and Discrete Geometry Optimització matemàtica Dominis convexos Desigualtats (Matemàtica) Funcions |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-30681-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Nota di contenuto | Preface -- Introduction -- Ensembles et fonctions convexes -- Dualité et Sous-Différentiabilité -- Dualité, Lagrangien, Points de Selle -- Monotonie et maximale monotonie -- Inéquations variationelles -- Dualité et Inéquations Variationelles -- Commentaires et notes bibliographiques -- Bibliographie -- Notations -- Index. |
| Record Nr. | UNINA-9910731484803321 |
|
Crouzeix Jean-Pierre
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov
| Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov |
| Autore | Makarov B. M. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (296 pages) |
| Disciplina | 511.4 |
| Collana | Moscow lectures |
| Soggetto topico |
Smoothness of functions
Funcions Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79438-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910495214403321 |
|
Makarov B. M.
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov
| Smooth functions and maps / / Boris M. Makarov, Anatolii N. Podkorytov |
| Autore | Makarov B. M. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (296 pages) |
| Disciplina | 511.4 |
| Collana | Moscow lectures |
| Soggetto topico |
Smoothness of functions
Funcions Càlcul diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79438-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466389603316 |
|
Makarov B. M.
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Soggetto topico
-
Funcions
(8)
- Functions (3)
- Anàlisi harmònica (2)
- Anàlisi matemàtica (2)
- Applied mathematics (2)