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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
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
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
Opac: Controlla la disponibilità qui
From Fourier Analysis to Wavelets [[electronic resource] /] / by Jonas Gomes, Luiz Velho
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
Opac: Controlla la disponibilità qui
Function Spaces and Inequalities [[electronic resource] ] : New Delhi, India, December 2015 / / edited by Pankaj Jain, Hans-Jürgen Schmeisser
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
Opac: Controlla la disponibilità qui
Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth / / Michael Cwikel, Mario Milman, editors
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
Opac: Controlla la disponibilità qui

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