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 |
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 | ||
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Frames and harmonic analysis : AMS special sessions on frames, wavelets, and Gabor systems and frames, harmonic analysis, and operator theory, April 16-17, 2016, North Dakota State University, Fargo, North Dakota / / Yeonhyang Kim [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (xii, 343 pages) |
Disciplina | 515/.63 |
Collana | Contemporary Mathematics |
Soggetto topico |
Frames (Vector analysis)
Harmonic analysis Wavelets (Mathematics) Gabor transforms Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Nontrigonometric harmonic analysis Information and communication, circuits -- Communication, information -- Communication, information Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Basic linear algebra Operator theory -- General theory of linear operators -- General theory of linear operators Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces Abstract harmonic analysis -- Abstract harmonic analysis -- Abstract harmonic analysis Approximations and expansions -- Approximations and expansions -- Approximations and expansions |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4723-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910478950903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Frames and harmonic analysis : AMS special sessions on frames, wavelets, and Gabor systems and frames, harmonic analysis, and operator theory, April 16-17, 2016, North Dakota State University, Fargo, North Dakota / / Yeonhyang Kim [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (xii, 343 pages) |
Disciplina | 515/.63 |
Collana | Contemporary mathematics |
Soggetto topico |
Frames (Vector analysis)
Harmonic analysis Wavelets (Mathematics) Gabor transforms Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Nontrigonometric harmonic analysis Information and communication, circuits -- Communication, information -- Communication, information Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Basic linear algebra Operator theory -- General theory of linear operators -- General theory of linear operators Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces Abstract harmonic analysis -- Abstract harmonic analysis -- Abstract harmonic analysis Approximations and expansions -- Approximations and expansions -- Approximations and expansions |
ISBN | 1-4704-4723-1 |
Classificazione | 15AXX41AXX42AXX42CXX43AXX46CXX47AXX94AXX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910796857603321 |
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Frames and harmonic analysis : AMS special sessions on frames, wavelets, and Gabor systems and frames, harmonic analysis, and operator theory, April 16-17, 2016, North Dakota State University, Fargo, North Dakota / / Yeonhyang Kim [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (xii, 343 pages) |
Disciplina | 515/.63 |
Collana | Contemporary mathematics |
Soggetto topico |
Frames (Vector analysis)
Harmonic analysis Wavelets (Mathematics) Gabor transforms Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Nontrigonometric harmonic analysis Information and communication, circuits -- Communication, information -- Communication, information Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Basic linear algebra Operator theory -- General theory of linear operators -- General theory of linear operators Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces Abstract harmonic analysis -- Abstract harmonic analysis -- Abstract harmonic analysis Approximations and expansions -- Approximations and expansions -- Approximations and expansions |
ISBN | 1-4704-4723-1 |
Classificazione | 15AXX41AXX42AXX42CXX43AXX46CXX47AXX94AXX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910826297303321 |
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Frames and Other Bases in Abstract and Function Spaces [[electronic resource] ] : Novel Methods in Harmonic Analysis, Volume 1 / / edited by Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 |
Descrizione fisica | 1 online resource (XIV, 438 p. 62 illus., 41 illus. in color.) |
Disciplina | 515.2433 |
Collana | Applied and Numerical Harmonic Analysis |
Soggetto topico |
Harmonic analysis
Fourier analysis Numerical analysis Big data Computer mathematics Abstract Harmonic Analysis Fourier Analysis Numerical Analysis Big Data Computational Science and Engineering |
ISBN | 3-319-55550-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frames: Theory and Practice -- Dynamical Sampling and Systems from Iterative Actions of Operators -- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling -- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators -- Computing the Distance between Frames and between Subspaces of a Hilbert Space -- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks -- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings -- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation -- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging -- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions -- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions -- Multiscale Radial Basis Functions -- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings -- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians -- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels -- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case -- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds. |
Record Nr. | UNINA-9910254283903321 |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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From Classical Analysis to Analysis on Fractals [[electronic resource] ] : A Tribute to Robert Strichartz, Volume 1 / / edited by Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers, Alexander Teplyaev |
Autore | Alonso Ruiz Patricia |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
Descrizione fisica | 1 online resource (294 pages) |
Disciplina | 515 |
Altri autori (Persone) |
HinzMichael
OkoudjouKasso A RogersLuke G TeplyaevAlexander |
Collana | Applied and Numerical Harmonic Analysis |
Soggetto topico |
Functional analysis
Harmonic analysis Probabilities Measure theory Differential equations Functional Analysis Abstract Harmonic Analysis Probability Theory Measure and Integration Differential Equations |
ISBN | 3-031-37800-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I. Introduction to this volume -- From Strichartz Estimates to Differential Equations on Fractals -- Part II. Functional and harmonic analysis on Euclidean spaces -- A new proof of Strichartz estimates for the Schrödinger equation in 2 + 1 dimensions -- Modulational instability of classical water waves -- Convergence Analysis of the Deep Galerkin Method for Weak Solutions -- The 4-player gambler’s ruin problem -- Part III. Analysis on Manifolds -- Product Manifolds with Improved Spectral Cluster and Weyl Remainder Estimates -- A scalar valued Fourier transform for the Heisenberg group -- Asymptotic behavior of the heat semigroup on certain Riemannian manifolds -- Part IV. Intrinsic Analysis on Fractals -- Fourier Series for Fractals in 2 Dimensions -- Blowups and Tops of Overlapping Iterated Function Systems -- Estimates of the local spectral dimension of the Sierpinski gasket -- Heat kernel fluctuations for stochastic processes on fractals and random media -- Index. |
Record Nr. | UNINA-9910754088903321 |
Alonso Ruiz Patricia | ||
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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From Fourier Analysis to Wavelets [[electronic resource] /] / by Jonas Gomes, Luiz Velho |
Autore | Gomes Jonas |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (216 p.) |
Disciplina | 510 |
Collana | IMPA Monographs |
Soggetto topico |
Fourier analysis
Harmonic analysis Signal processing Image processing Speech processing systems Fourier Analysis Abstract Harmonic Analysis Signal, Image and Speech Processing |
ISBN | 3-319-22075-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Function Representation and Reconstruction -- The Fourier Transform -- Windowed Fourier Transform -- The Wavelet Transform -- Multiresolution Representation -- The Fast Wavelet Transform -- Filter Banks and Multiresolution -- Constructing Wavelets -- Wavelet Design -- Orthogonal Wavelets -- Biorthogonal Wavelets -- Directions and Guidelines -- Appendices. |
Record Nr. | UNINA-9910300249703321 |
Gomes Jonas | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Function Spaces and Inequalities [[electronic resource] ] : New Delhi, India, December 2015 / / edited by Pankaj Jain, Hans-Jürgen Schmeisser |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (VIII, 335 p. 2 illus.) |
Disciplina | 510 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico |
Functions of complex variables
Functional analysis Harmonic analysis Integral transforms Operational calculus Several Complex Variables and Analytic Spaces Functional Analysis Abstract Harmonic Analysis Integral Transforms, Operational Calculus Functions of a Complex Variable |
ISBN | 981-10-6119-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Fernando Cobos and Luz M. Fernández-Cabrera, The fundamental function of certain interpolation spaces generated by N-tuples of rearrangement-invariant spaces -- Douadi Drihem, Sobolev embeddings for Herz-type Triebel-Lizorkin spaces -- M. L. Goldman, Order sharp estimates for monotone operators on Orlicz--Lorentz classes -- D. I. Hakim and Yosihiro Sawano, Complex interpolation of Morrey spaces -- Dorothee D. Haroske and Hans-Juergen Schmeisser, Gagliardo-Nirenberg inequalities for spaces with dominating mixed derivatives -- Pankaj Jain, Monika Singh and Arun Pal Singh, Recent trends in the theory of grand Lebesgue spaces. Agnieszka Kalamajska and Iwona Skrzypczak, On certain new method to construct weighted Hardy-type inequalities and its application to the sharp Hardy-Poincare' inequalities -- Henning Kempka, Intrinsic characterization and the extension operator in variable exponent function spaces on special Lipschitz domains -- V. Kokilashvili and A. Meskhi, The boundedness of sublinear operators in weighted Morrey spaces defined on spaces of homogeneous type -- Romesh Kumar, A.K. Sharma, S. Dubey and S. Wazir, Essentially algebraic composition operators on Lorentz sequence spaces with a weight -- Santosh Kumari, Higher dimensional Hardy-type inequalities -- Jan Lang, Osvaldo Mendez and Behzad Rouhani, Recent advances on generalized trigonometric systems in higher dimensions -- Eiichi Nakai, Pointwise multipliers on Musielak-Orlicz-Morrey spaces -- Hans Triebel, The Fatou property of function spaces, heat kernels, admissible norms and mapping properties -- Dachun Yang and Wen Yuan, A survey on some variable function spaces. |
Record Nr. | UNINA-9910254288503321 |
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth / / Michael Cwikel, Mario Milman, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
Descrizione fisica | 1 online resource (422 pages) : illustrations |
Disciplina | 515/.2433 |
Collana | Contemporary Mathematics |
Soggetto topico |
Harmonic analysis
Fourier analysis Image processing |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4166-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910480365803321 |
Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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