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1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems / / by Albert C. J. Luo
1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems / / by Albert C. J. Luo
Autore Luo Albert C. J
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Descrizione fisica 1 online resource (382 pages)
Disciplina 512.9422
Collana Mathematics and Statistics Series
Soggetto topico Dynamics
Differential equations
System theory
Control theory
Dynamical Systems
Differential Equations
Complex Systems
Systems Theory, Control
Sistemes complexos
Matemàtica aplicada
Soggetto genere / forma Llibres electrònics
ISBN 9789819722044
9819722047
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.
Record Nr. UNINA-9910917785203321
Luo Albert C. J  
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
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Active Particles, Volume 4 : Theory, Models, Applications / / edited by José Antonio Carrillo, Eitan Tadmor
Active Particles, Volume 4 : Theory, Models, Applications / / edited by José Antonio Carrillo, Eitan Tadmor
Autore Carrillo José Antonio
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
Descrizione fisica 1 online resource (510 pages)
Disciplina 003.3
Altri autori (Persone) TadmorEitan
Collana Modeling and Simulation in Science, Engineering and Technology
Soggetto topico Mathematical models
System theory
Statistical physics
Statistical mechanics
Mathematical Modeling and Industrial Mathematics
Complex Systems
Statistical Physics
Statistical Mechanics
Matemàtica aplicada
Teoria de sistemes
Física estadística
Mecànica estadística
Soggetto genere / forma Llibres electrònics
ISBN 9783031734236
3031734238
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Consistency of Semi-supervised Learning, Stochastic Tug-of-War Games, and the p-Laplacian -- 2 Discrete Minimizers of the Interaction Energy in Collective Behavior -- 3 Large-Population Limits of Non-Exchangeable Particle Systems -- 4 Models of Animal Behavior as Active Particle Systems with Nonreciprocal Interactions -- 5 Bayesian Sampling Using Interacting Particles -- 6 Aggregation-Diffusion Phenomena -- 7 Conservative Semi-Lagrangian Methods for Kinetic Equations -- 8 Large Population Limit of Interacting Population Dynamics via Generalized Gradient Structures -- 9 Adjoint Monte Carlo Method.
Record Nr. UNINA-9910917794103321
Carrillo José Antonio  
Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
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Alla ricerca della via piu breve : Un'avventura matematica / / Peter Gritzmann, Rene Brandenberg ; Traduzione di Stefano Ruggerini
Alla ricerca della via piu breve : Un'avventura matematica / / Peter Gritzmann, Rene Brandenberg ; Traduzione di Stefano Ruggerini
Autore Gritzmann Peter
Edizione [1st ed. 2005.]
Pubbl/distr/stampa Milano, : Springer, c2005
Descrizione fisica 1 online resource (372 p.)
Disciplina 510
Altri autori (Persone) BrandenbergRene
RuggeriniStefano
Soggetto topico Mathematical optimization
Mathematics
Science
Optimització matemàtica
Matemàtica aplicada
Soggetto genere / forma Llibres electrònics
ISBN 1-281-11515-0
9786611115159
88-470-0353-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Nota di contenuto Primo contatto -- Pianificare un itinerario? -- Piacere, grafo -- Il peso ha un peso -- Un’innocua esplosione -- Monaco in quattro fermate -- Scelte locali, benefici globali -- In principio era l’input -- Negativo è negative -- Tempi buoni, tempi cattivi -- Intuito femminile -- Il lavoro che precede il lavoro -- Per assurdo -- Il Prim della classe -- Arraffa ciò che puoi -- Arbore… cosa? -- Un vecchio Straordinario -- Magnetica dimostrazione -- Euleriano o non euleriano, questo è il dilemma -- Eulero e Babbo Natale -- Oggi girovaga la nettezza urbana -- Tempo di accoppiamenti -- Posta dalla Cina -- Scacco matto? -- Amore platonico? -- Notoriamente Problematico -- Sorte di un commesso Viaggiatore -- Chiedere meno e ottenere di più -- 150 per cento -- Bonsai -- Nient’affatto Platonico -- Il successo del commesso viaggiatore.
Record Nr. UNINA-9910483881503321
Gritzmann Peter  
Milano, : Springer, c2005
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Analysis and PDE in Latin America : ICMAM 2022 / / edited by Duván Cardona, Brian Grajales
Analysis and PDE in Latin America : ICMAM 2022 / / edited by Duván Cardona, Brian Grajales
Autore Cardona Duván
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
Descrizione fisica 1 online resource (172 pages)
Disciplina 515
Altri autori (Persone) GrajalesBrian
Collana Research Perspectives Ghent Analysis and PDE Center
Soggetto topico Mathematical analysis
Artificial intelligence
Fourier analysis
Global analysis (Mathematics)
Manifolds (Mathematics)
Analysis
Artificial Intelligence
Fourier Analysis
Global Analysis and Analysis on Manifolds
Equacions en derivades parcials
Matemàtica aplicada
Anàlisi de Fourier
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 9783031732744
303173274X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Front Matter -- Elliptic Problems with Concave and Convex Nonlinearities -- Dynamics for Linear Fractional Composition Operator on H2(C+) -- Recent Results for Delayed Chemostat Models with Non-constant Nutrient Supply -- Computing Cohomology Spaces of Left-Invariant Involutive Structures on SU(2) -- Travelling Waves for a Class of Internal Dispersive Systems -- Global Hypoellipticity for Time-Periodic Evolution Equations: Insights from Eigenfunction Expansions -- Local Null Controllability of the Smagorinsky-Boussinesq Model -- A Common Fixed Point Theorem for Two Functions Defined on a Hyperbolic Value Metric Space -- A Note on the Critical Length Phenomenon for the Korteweg-de Vries Equation -- Comparison Results for Parabolic Problems with Variable Exponents -- Energy Analysis, Phase Plane, Initial Value Problems and the Existence of Infinitely Many Solutions to Superlinear Elliptic Problems -- On the Behaviour of Harmonic Functions on Riemannian Cones -- Asymptotic Analysis: Entropy Numbers and Schoenberg Coefficients of Isotropic Positive Definite Reproducing Kernels -- Radial Solutions for Phi-Laplacian Problems via Shooting Method -- Fourier Analysis on Hypercylinders -- On the Theoretical and Numerical Analysis of a Vegetation Model with Cross-Diffusion -- Deligne Cohomology for Differentiable Stacks -- The Poincaré-Wirtinger Inequality in the Framework of Equalities -- Dynamical Behaviour of Rotating Internal Weakly Viscoelastic Fluids -- Existence and Stability of Pullback Exponential Attractors for a Nonautonomous Semilinear Evolution Equation of Second Order -- Second Order Differential Operators Associated to the Space of Generalized Analytic Functions -- Back Matter.
Record Nr. UNINA-9910918696203321
Cardona Duván  
Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
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Applied Probability / / by Kenneth Lange
Applied Probability / / by Kenneth Lange
Autore Lange Kenneth
Edizione [3rd ed. 2024.]
Pubbl/distr/stampa New York, NY : , : Springer US : , : Imprint : Springer, , 2024
Descrizione fisica 1 online resource (608 pages)
Disciplina 519.2
Collana Springer Texts in Statistics
Soggetto topico Statistics
Probabilities
Computer science - Mathematics
Mathematical statistics
Mathematics - Data processing
Estadística matemàtica
Matemàtica aplicada
Statistical Theory and Methods
Probability Theory
Probability and Statistics in Computer Science
Computational Mathematics and Numerical Analysis
Soggetto genere / forma Llibres electrònics
ISBN 9781071641729
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Basic Notions of Probability Theory -- Calculation of Expectations -- Convexity, Optimization, and Inequalities -- Combinatorics -- Combinatorial Optimization -- Poisson Processes -- Discrete-Time Markov Chains -- Continuous-Time Markov Chains -- Branching Processes -- Martingales -- Diffusion Processes -- Asymptotic Methods -- Numerical Methods -- Poisson Approximation -- Number Theory -- Entropy -- Appendix: Mathematical Review.
Record Nr. UNINA-9910917194103321
Lange Kenneth  
New York, NY : , : Springer US : , : Imprint : Springer, , 2024
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Bulletin mathématiques de la Société des sciences mathématiques de Roumanie / / Societatea de Științe Matematice din România
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie / / Societatea de Științe Matematice din România
Pubbl/distr/stampa București : , : S.S.M., , 1989-
Descrizione fisica 1 online resource
Disciplina 510.6
Soggetto topico Mathematics
Matemàtica
Matemàtica aplicada
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 2065-0264
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione mul
Altri titoli varianti Bulletin mathématiques
Bulletin mathématique de la Société des sciences mathématiques de Roumanie
Bull. math. de la Soc. sci. math. de Roumanie
Bull. math. Soc. sc. math. Roumanie
Record Nr. UNISA-996207690403316
București : , : S.S.M., , 1989-
Materiale a stampa
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Bulletin mathématiques de la Société des sciences mathématiques de Roumanie / / Societatea de Științe Matematice din România
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie / / Societatea de Științe Matematice din România
Pubbl/distr/stampa București : , : S.S.M., , 1989-
Descrizione fisica 1 online resource
Disciplina 510.6
Soggetto topico Mathematics
Matemàtica
Matemàtica aplicada
Soggetto genere / forma Periodicals.
Revistes electròniques.
ISSN 2065-0264
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione mul
Altri titoli varianti Bulletin mathématiques
Bulletin mathématique de la Société des sciences mathématiques de Roumanie
Bull. math. de la Soc. sci. math. de Roumanie
Bull. math. Soc. sc. math. Roumanie
Record Nr. UNINA-9910145845103321
București : , : S.S.M., , 1989-
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Computational Science and Its Applications – ICCSA 2021 : 21st International Conference, Cagliari, Italy, September 13–16, 2021, Proceedings, Part I / / edited by Osvaldo Gervasi, Beniamino Murgante, Sanjay Misra, Chiara Garau, Ivan Blečić, David Taniar, Bernady O. Apduhan, Ana Maria A. C. Rocha, Eufemia Tarantino, Carmelo Maria Torre
Computational Science and Its Applications – ICCSA 2021 : 21st International Conference, Cagliari, Italy, September 13–16, 2021, Proceedings, Part I / / edited by Osvaldo Gervasi, Beniamino Murgante, Sanjay Misra, Chiara Garau, Ivan Blečić, David Taniar, Bernady O. Apduhan, Ana Maria A. C. Rocha, Eufemia Tarantino, Carmelo Maria Torre
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Descrizione fisica 1 online resource (728 pages)
Disciplina 004
Collana Theoretical Computer Science and General Issues
Soggetto topico Computer networks
Numerical analysis
Computer science - Mathematics
Computer engineering
Computer systems
Artificial intelligence
Computer Communication Networks
Numerical Analysis
Mathematical Applications in Computer Science
Computer Engineering and Networks
Computer System Implementation
Artificial Intelligence
Xarxes d'ordinadors
Anàlisi numèrica
Informàtica
Enginyeria de programari
Matemàtica aplicada
Sistemes informàtics
Intel·ligència artificial
Xarxes de comunicacions
Soggetto genere / forma Llibres electrònics
ISBN 3-030-86653-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Welcome Message from the Organizers -- Organization -- Contents - Part I -- General Track 1: Computational Methods, Algorithms and Scientific Applications -- Performance Evaluation of GPS Trajectory Rasterization Methods -- 1 Introduction -- 2 Tools and Rasterization Process Flow -- 2.1 Rasterization with QGIS -- 2.2 Rasterization with PostGIS -- 2.3 Rasterization with Python -- 2.4 Summary of Methods -- 3 Setup of the Experiments -- 4 Comparisons -- 5 Conclusions -- References -- An Algorithm for Polytope Overlapping Detection -- 1 Introduction -- 2 Preliminaries -- 3 Overlapping of Two Simplices -- 4 The Overlap Detection Algorithm -- 5 Overlap Detection Examples -- 6 Conclusion -- References -- Machine Learning-Based Numerical Dispersion Mitigation in Seismic Modelling -- 1 Introduction -- 2 Seismic Modelling -- 3 Numerical Dispersion Mitigation Network (NDM-net) -- 4 Numerical Experiments -- 4.1 Marmousi2 Model -- 4.2 Model with Vertical Intrusion -- 5 Conclusions -- References -- A Variant of the Nonlinear Multiscale Dynamic Diffusion Method -- 1 Introduction -- 2 The New Dynamic Diffusion Method -- 3 Numerical Results -- 3.1 Convergence Rates -- 3.2 Solution with Two Internal Layers -- 3.3 Reaction-Diffusion Problem -- 3.4 2D Advection-Diffusion-Reaction Problem -- 4 Conclusions -- References -- A Convergence Study of the 3D Dynamic Diffusion Method -- 1 Introduction -- 2 Dynamic Diffusion Method -- 3 Numerical Experiments -- 3.1 Diffusion-Convection (DC) Problem -- 3.2 Diffusion-Convection-Reaction (DCR) Problem -- 4 Conclusions -- References -- Comparison Between Protein-Protein Interaction Networks CD4+T and CD8+T and a Numerical Approach for Fractional HIV Infection of CD4+T Cells -- 1 Introduction -- 2 Comparison Protein-Protein Interaction Networks CD4+T and CD8+T -- 3 Mathematical Model Information.
4 Preliminary Remarks -- 4.1 Discrete Chebyshev Polynomials -- 4.2 Shifted Discrete Chebyshev Polynomials -- 5 The Numerical Method -- 6 Computational Results and Comparisons -- 7 Conclusion -- References -- A Rapid Euclidean Norm Calculation Algorithm that Reduces Overflow and Underflow -- 1 Introduction -- 2 Related Work -- 3 Blue Algorithm and Two-Accumulator Method -- 3.1 Blue Algorithm -- 3.2 Two-Accumulator Method with Fixed Scaling Value -- 3.3 Two-Accumulator Method with Dynamic Scaling -- 3.4 Input Range and Vector Size -- 4 DD Arithmetic -- 4.1 Overview of DD Arithmetic -- 4.2 Euclidean Norm Calculation Using DD Arithmetic -- 5 Evaluation of Performance and Relative Error -- 5.1 Evaluation Method -- 5.2 Evaluation Results -- 6 Summary and Future Work -- References -- A Computational Analysis of the Hopmoc Method Applied to the 2-D Advection-Diffusion and Burgers Equations -- 1 Introduction -- 2 Hopmoc Method -- 3 Computational Analysis -- 3.1 Advection-Diffusion Equation -- 3.2 Burgers Equation -- 4 Conclusions -- References -- Optimal -Methods for Mean-Square Dissipative Stochastic Differential Equations -- 1 Introduction -- 1.1 Mean-Square Contractivity -- 2 Stability Analysis of Stochastic -Methods -- 2.1 Linear Stability -- 2.2 Nonlinear Stability -- 3 Optimal Choice of the Parameter -- 3.1 Analysis of Stochastic -Maruyama Methdos -- 3.2 Analysis of Stochastic -Milstein Methods -- 3.3 A Numerical Evidence: Stochastic Ginzburg-Landau Equation -- 4 Conclusions and Future Issues -- References -- Continuous Extension of Euler-Maruyama Method for Stochastic Differential Equations -- 1 Introduction -- 2 Numerical Collocation for Volterra Integral Equations -- 3 Continuous Extension of the EM Method -- 4 Numerical Evidences -- 5 Concluding Remarks -- References.
The Mirror Reflection Principle and Probabilistic Invariants in the Theory of Multiple Photon Scattering -- 1 Basic Probabilistic Functions and Their Main Properties -- 2 Probabilistic Invariants in the Theory of Multiple Photon Scattering -- 3 The Principle of Spatial-Angular Mirror Symmetry for Total Probabilities of Photon Exiting a Homogeneous Slab -- 4 Symmetrization of Main Integral Equations for Basic Probabilistic Functions -- 5 Linear Singular Integral Equations for Probabilistic Invariants of a Homogeneous Slab of Finite Optical Thickness -- 6 Unified Probabilistic Function for Photons Exiting a Homogeneous Slab -- 7 Conclusion -- References -- Ensemble Feature Selection Compares to Meta-analysis for Breast Cancer Biomarker Identification from Microarray Data -- 1 Introduction -- 2 Related Works -- 3 Materials and Methods -- 3.1 Breast Cancer Microarray Datasets -- 3.2 Feature Selection Methods -- 3.3 Ensemble Feature Selection Design -- 3.4 Ensemble Feature Selection Evaluation -- 3.5 Evaluation Metrics -- 3.6 Classification Algorithms -- 3.7 Meta-analysis -- 4 Results -- 4.1 Stability Analysis -- 4.2 Predictive Performance Analysis -- 4.3 EFS Versus Meta-analysis -- 5 Conclusions -- References -- Structural Characterization of Linear Three-Dimensional Random Chains: Energetic Behaviour and Anisotropy -- 1 Introduction -- 2 Methodology -- 2.1 Numerical Algorithm -- 2.2 Energy of Linear Chains -- 2.3 Anisotropy in Linear Chains -- 3 Results and Discussion -- 3.1 Energy of the Linear Chains -- 3.2 Inertia and Anisotropy -- 4 Conclusions -- References -- Reasonable Non-conventional Generator of Random Linear Chains Based on a Simple Self-avoiding Walking Process: A Statistical and Fractal Analysis -- 1 Introduction -- 2 Methodology -- 2.1 Numerical Algorithm -- 2.2 Characteristic Distances and Flory Exponent.
2.3 Fractal Dimension of Linear Chains. Box-Counting Dimension and Correlation Dimension -- 3 Results and Discussion -- 3.1 Algorithm and Simulations -- 3.2 Chain Length, Characteristic Distances and Flory Exponent -- 3.3 Fractal Dimension -- 4 Conclusions -- References -- Digital Analog Converter for the Extraction of Test Signals from Mixed Integrated Circuits -- 1 Introduction -- 2 Analogical - Digital Conversion Process -- 3 Convertering Circuits A/D -- 3.1 Flash A/D Converters -- 3.2 Successive Approaches -- 3.3 Converters to Ramp and Double Ramp -- 4 Proposed Signal Digitalizer -- 4.1 ADC Block -- 4.2 LS Block -- 4.3 S/H Block -- 5 Results Overalled -- 6 Conclusions -- References -- Computational Model for Compressible Two-Phase Flow in Deformed Porous Medium -- 1 Introduction -- 2 Three-Phase Thermodynamically Compatible Model for Compressible Two-Phase Flow in Deformed Porous Medium -- 2.1 Master System for Derivation of the Model -- 3 Small Amplitude Wave Propagation in the Porous Medium Saturated by Two-Fluid Mixture -- 4 Dispersion Relations -- 5 Numerical Simulations -- 6 Conclusions -- References -- Modeling and Identification of Electromechanical Systems Using Orthonormal Jacobi Functions -- 1 Introduction -- 2 Synthesis and Study of Orthonormal Jacobi Functions -- 3 Some Properties of Orthonormal Jacobi Functions -- 4 Spectral Models Based on Orthonormal Jacobi Functions -- 5 Nonparametric Identification Based on Spectral Models in the Basis of Orthonormal Jacobi Functions -- 6 Synthesis and Study of Spectral Models of Two-Mass EMSs in the Basis of Orthonormal Jacobi Functions -- 7 Conclusion -- 8 Key Focus of Further Study -- References -- Proof of Some Properties of the Cross Product of Three Vectors in IR4 with Mathematica -- 1 Introduction -- 2 Mathematical Preliminaries -- 3 The Cross Product -- 4 Conclusions -- References.
A Parameterization of the Klein Bottle by Isometric Transformations in IR4 with Mathematica -- 1 Introduction -- 2 Basic Concepts -- 2.1 Surfaces and Quotient Spaces -- 2.2 Parameterizations of the Immersion of the Klein Bottle in IR3 as a Tubular Surface -- 3 Parameterizations of Some Surfaces by Isometric Transformations -- 3.1 Parameterization of the Euclidian Cylinder in IR3 -- 3.2 Parameterization of the Möbius strip in IR3 -- 3.3 Parameterization of the Torus of Revolution in IR4 -- 3.4 Parameterization of the Klein Bottle in IR4 -- 4 Conclusions -- References -- On the Shooting Method Applied to Richards' Equation with a Forcing Term -- 1 Introduction -- 2 The Shooting Method Approach and Its Theoretical Background -- 2.1 Kirchhoff Transformation on Richards' Equation with Root-Water Uptake -- 2.2 Solving Richards' Equation Applying Shooting Method -- 3 Numerical Simulations -- 4 Conclusions and Future Works -- References -- Preliminary Analysis of Interleaving PN-Sequences -- 1 Introduction -- 2 Fundamentals and Basic Concepts -- 3 Randomness of the t-interleaved Sequences -- 4 Conclusions -- References -- Numerical Prediction Model of Runway-Taxiway Junctions for Optimizing the Runway Evacuation Time -- 1 Introduction -- 2 Background Review and Scope -- 3 Methodology -- 4 Validation -- 5 Traffic Data and Aircraft Classification -- 6 Results and Discussion -- 7 Conclusion -- References -- Jacobian-Dependent Two-Stage Peer Method for Ordinary Differential Equations -- 1 Introduction -- 2 Classic Peer Methods -- 2.1 Two-Stage Classic Version -- 3 New Jacobian-Dependent Peer Methods -- 3.1 Two-Stage Jacobian-Dependent Version -- 4 Linear Stability Analysis -- 4.1 Absolute Stability Regions of the New Two-Stage Methods -- 5 Numerical Tests -- 5.1 Prothero-Robinson Equation -- 5.2 Non-linear Scalar Equation -- 6 Conclusions and Future Research.
References.
Record Nr. UNINA-9910502659403321
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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]
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Fractals in Engineering: Theoretical Aspects and Numerical Approximations / / edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat
Fractals in Engineering: Theoretical Aspects and Numerical Approximations / / edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Descrizione fisica 1 online resource (179 pages) : illustrations
Disciplina 658.4034
Collana ICIAM 2019 SEMA SIMAI Springer Series
Soggetto topico Mathematical analysis
Engineering mathematics
Engineering - Data processing
Numerical analysis
Mathematical models
Mathematics
Analysis
Mathematical and Computational Engineering Applications
Numerical Analysis
Mathematical Modeling and Industrial Mathematics
Applications of Mathematics
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 C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena -- M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains -- S. Fragapane, ∞-Laplacian obstacle problems in fractal domains -- M. Gabbard, Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- M.V. Marchi, On the dimension of the Sierpinski gasket in l2 -- U. Mosco and M.A. Vivaldi, On the external approximation of Sobolev spaces by M-convergence -- A. Rozanova-Pierrat, Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries.
Record Nr. UNINA-9910484636403321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
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