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Analysis, Applications, and Computations : Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 / / edited by Uwe Kähler, Michael Reissig, Irene Sabadini, Jasson Vindas
| Analysis, Applications, and Computations : Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021 / / edited by Uwe Kähler, Michael Reissig, Irene Sabadini, Jasson Vindas |
| Autore | Kähler Uwe |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (696 pages) |
| Disciplina | 515 |
| Altri autori (Persone) |
ReissigMichael
SabadiniIrene VindasJasson |
| Collana | Research Perspectives |
| Soggetto topico |
Mathematical analysis
Differential equations Mathematics Analysis Differential Equations Applications of Mathematics |
| ISBN |
9783031363757
3031363752 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Part I Plenary Lecture -- A Review of Univariate and Multivariate Multifractal Analysis Illustrated by the Analysis of Marathon Runners Physiological Data -- Part II Applications of Dynamical Systems Theory in Biology -- Wavefronts in Forward-Backward Parabolic Equations and Applications to Biased Movements -- Bohr-Levitan Almost Periodic and Almost Automorphic Solutions of Equation x' (t) = f(t – 1, x(t – 1)) – f(t, x(t)) -- Periodic Solutions in a Differential Delay Equation Modeling Megakaryopoiesis -- Discrete and Continuous Models of the COVID-19 Pandemic Propagation with a Limited Time Spent in Compartments -- Part III Challenges in STEM Education -- Some Aspects of Usage of Digital Technologies in Mathematics Education -- Teaching of STEM Lectures During the COVID-19 Time -- Extra-Curricular Activities to Promote STEM Learning -- Usage of Online Platforms in Education of Mathematics in Transcarpathia atthe Beginning of Quarantine -- The Use of Technologies to Promote Critical Thinking in Pre-service Teachers -- Alarming Changes in Polish Education vs Longlife and Remote Learning -- The Most Common Mathematical Mistakes in the Teaching of Scientific Subjects at Secondary Schools -- Challenges to the Development of Effective Creativity -- Part IV Complex Analysis and Partial Differential Equations -- Universality of the Dirichlet Series in the Complex Plane -- On One Oscillation Problem of Zeroth Approximation of Hierarchical Model for Porous Elastic Plates with Variable Thickness -- Solution of the Kirsch Problem for the Elastic Materials with Voids in the Case of Approximation N = 1 of Vekua’s Theory -- Analysis of BVP for Some Elliptic Systems on a Complex Plane -- Second Order Differential Operators Associated to the Space of Holomorphic Functions -- Constructional Method for a Non-local Boundary and Initial Problem Raised from a Free Boundary Model of Cancer -- Part V Complex Variables and Potential Theory -- A Perturbation Result for a Neumann Problem in a Periodic Domain -- On One Inequality for Non-overlapping Domains -- Schwarz Lemma Type Estimates for Solutions to Nonlinear Beltrami Equation -- On Conditions of Local Lineal Convexity Generalized to Commutative Algebras -- On a Quadrature Formula for the Direct Value of the Double Layer Potential -- Menchov–Trokhimchuk Theorem Generalized for Monogenic Functions in a Three-Dimensional Algebra -- Part VI Constructive Methods in the Theory of Composite and Porous Media -- Monodromy of Pfaffian Equations for Group-Valued Functions on Riemann Surfaces -- Introduction to Neoclassical Theory of Composites -- Analogues the Kolosov-Muskhelishvili Formulas for Isotropic Materials with Double Voids -- Schwarz-Christoffel Mapping and Generalised Modulus of a Quadrilateral -- Dimension Reduction in the Periodicity Cell Problem forPlate Reinforced by a Unidirectional System of Fibers -- Self-Consistent Approximations in the Theory of Composites and Their Limitations -- On Electromagnetic Wave Equations for a Nonhomegenous Microperiodic Medium -- Part VII Generalized Functions and Applications -- A Note on Composition Operators Between Weighted Spaces of Smooth Functions -- 1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability -- 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: .L2-Generalized Solutions -- On Classification of Semigroups Associated to Levy Processes -- Part VIII Harmonic Analysis and Partial Differential Equations -- The Index of Toeplitz Operators on Compact Lie Groups and on Simply Connected Closed 3-Manifolds -- Part IX Partial Differential Equations on Curved Spacetimes -- Lorentzian Spectral Zeta Functions on Asymptotically Minkowski Spacetimes -- Aspects of Non-associative Gauge Theory -- Remarks on Global Smoothing Effect of Solutions to Nonlinear ElasticWave Equations with Viscoelastic Term -- Local and Global Solutions for the Semilinear Proca Equations in the de Sitter Spacetime -- Numerical Simulations of Semilinear Klein–Gordon Equation in the de Sitter Spacetime with Structure-Preserving Scheme -- Part X Recent Progress in Evolution Equations -- Global Small Data Solutions for an Evolution Equation with Structural Damping and Hartree-Type Nonlinearity -- A Note on Continuity of Strongly Singular Calderón-Zygmund Operators in Hardy-Morrey Spaces -- The Asymptotic Estimates of the Solutions to the Linear Damping Models with Spatial Dependent Coefficients -- A Klein-Gordon Model with Time-Dependent Coefficients and a Memory-Type Nonlinearity -- Intrinsic Polynomial Squeezing for Balakrishnan-Taylor Beam Models -- On the Wave-Like Energy Estimates of Klein-Gordon Type Equations with Time Dependent Potential -- Non-Linear Evolution Equations with Non-Local Coefficients and Zero-Neumann Condition: One Dimensional Case -- Nonlinear Perturbed BLMP Equation -- Part XI Wavelet Theory and Its Related Topics -- Holomorphic Curves with Deficiencies and the Uniqueness Problem -- On Some Topics Related to the Gabor Wavelet Transform -- On the Diameters and Radii of the Extended Sierpiński Graphs -- Some Inequalities for Parseval Frames -- p-Adic Time-Frequency Analysis and Its Properties. |
| Record Nr. | UNINA-9910755076803321 |
Kähler Uwe
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical analysis, its applications and computation : ISAAC 2019, Aveiro, Portugal, July 29-August 2 / / Paula Cerejeiras and Michael Reissig, editors
| Mathematical analysis, its applications and computation : ISAAC 2019, Aveiro, Portugal, July 29-August 2 / / Paula Cerejeiras and Michael Reissig, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 515 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Mathematical analysis
Mathematical analysis - Data processing Anàlisi matemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-97127-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996479370103316 |
| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical Analysis, its Applications and Computation : ISAAC 2019, Aveiro, Portugal, July 29–August 2 / / edited by Paula Cerejeiras, Michael Reissig
| Mathematical Analysis, its Applications and Computation : ISAAC 2019, Aveiro, Portugal, July 29–August 2 / / edited by Paula Cerejeiras, Michael Reissig |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 515 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Mathematics - Data processing
Harmonic analysis Computational Mathematics and Numerical Analysis Abstract Harmonic Analysis |
| ISBN | 3-030-97127-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Notes on Computational Hardness of Hypothesis Testing: Predictions Using the Low-Degree Likelihood Ratio -- Overview -- 1 Towards a Computationally-Bounded Decision Theory -- 1.1 Statistical-to-Computational Gaps in Hypothesis Testing -- 1.2 Classical Asymptotic Decision Theory -- 1.2.1 Basic Notions -- 1.2.2 Likelihood Ratio Testing -- 1.2.3 Le Cam's Contiguity -- 1.3 Basics of the Low-Degree Method -- 2 The Additive Gaussian Noise Model -- 2.1 The Model -- 2.2 Computing the Classical Quantities -- 2.3 Computing the Low-Degree Quantities -- 2.3.1 Proof 1: Hermite Translation Identity -- 2.3.2 Proof 2: Gaussian Integration by Parts -- 2.3.3 Proof 3: Hermite Generating Function -- 3 Examples: Spiked Matrix and Tensor Models -- 3.1 The Spiked Tensor Model -- 3.1.1 Proof of Theorem 2: Upper Bound -- 3.1.2 Proof of Theorem 2: Lower Bound -- 3.2 The Spiked Wigner Matrix Model: Sharp Thresholds -- 3.2.1 The Canonical Distinguishing Algorithm: PCA -- 3.2.2 Low-Degree Analysis: Informally, with the ``Gaussian Heuristic'' -- 3.2.3 Low-Degree Analysis: Formally, with Concentration Inequalities -- 4 More on the Low-Degree Method -- 4.1 The LDLR and Thresholding Polynomials -- 4.2 Algorithmic Implications of the LDLR -- 4.2.1 Robustness -- 4.2.2 Connection to Sum-of-Squares -- 4.2.3 Connection to Spectral Methods -- 4.2.4 Formal Conjecture -- 4.2.5 Empirical Evidence and Refined Conjecture -- 4.2.6 Extensions -- Appendix 1: Omitted Proofs -- Neyman-Pearson Lemma -- Equivalence of Symmetric and Asymmetric Noise Models -- Low-Degree Analysis of Spiked Wigner Above the PCA Threshold -- Appendix 2: Omitted Probability Theory Background -- Hermite Polynomials -- Subgaussian Random Variables -- Hypercontractivity -- References -- Totally Positive Functions in Sampling Theory and Time-Frequency Analysis -- 1 Introduction.
2 Totally Positive Functions -- 3 Back to Sampling: Shift-Invariant Spaces -- 4 Totally Positive Generators of Gaussian Type -- 4.1 Sampling with Derivatives -- 4.2 Some Proof Ideas -- 5 Time-Frequency Analysis and Gabor Frames -- 6 Zero-Free Short-Time Fourier Transforms -- 7 Totally Positive Functions and the Riemann Hypothesis -- 8 Summary -- References -- Multidimensional Inverse Scattering for the Schrödinger Equation -- 1 Introduction -- 2 Potential Applications -- 3 Direct Scattering -- 4 The Main Objective of Problem 1.2a at Fixed and Sufficiently Large E -- 5 Old General Result on Problem 1.2a for d≥2 -- 6 Results of N6,N7 -- 7 Faddeev Functions -- 8 Results of N10,N11 -- 9 Examples of Non-uniqueness for Problem 1.3a -- 10 Results of N15,NS2 on Modified Problem 1.3a for d≥2 -- 11 Results of AHN -- 12 Formulas of N14,N17 Reducing Problem 1.3b to Problem 1.2a -- References -- A Survey of Hardy Type Inequalities on Homogeneous Groups -- 1 Introduction -- 2 Hardy Type Inequalities on Stratified Groups -- 3 Hardy Type Inequalities on Homogeneous Groups -- References -- Bogdan Bojarski in Complex and Real Worlds -- 1 Scientific Career -- 2 The Partial Indices of Matrix Function -- 3 Quasiconformal Mapping -- 4 Boundary Value Problems -- 5 Riemann-Hilbert Problem for a Multiply Connected Domain -- 6 Conclusion -- References. |
| Record Nr. | UNINA-9910568282803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Methods for Partial Differential Equations : Qualitative Properties of Solutions, Phase Space Analysis, Semilinear Models / / by Marcelo R. Ebert, Michael Reissig
| Methods for Partial Differential Equations : Qualitative Properties of Solutions, Phase Space Analysis, Semilinear Models / / by Marcelo R. Ebert, Michael Reissig |
| Autore | Ebert Marcelo R |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (XVI, 456 p. 1 illus.) |
| Disciplina | 515.353 |
| Soggetto topico |
Differential equations
Differential Equations |
| ISBN | 3-319-66456-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part 1 -- Introduction -- Part 2 -- Partial differential equations in models -- Basics for partial differential equations -- The Cauchy-Kovalevskaja theorem -- Holmgren’s uniqueness theorem -- Method of characteristics -- Burger’s equation -- Laplace equation - properties of solutions - starting point of elliptic theory -- Heat equation - properties of solutions - starting point of parabolic theory -- Wave equation - properties of solutions - starting point of hyperbolic theory -- Energies of solutions - one of the most important quantities -- Part 3 -- Phase space analysis for heat equation -- Phase space analysis and smoothing for Schrödinger equations -- Phase space analysis for wave models -- Phase space analysis for plate models -- The method of stationary phase and applications -- Part 4 -- Semilinear heat models -- Semilinear classical damped wave models -- Semilinear wave models with a special structural dissipation -- Semilinear classical wave models -- Semilinear Schrödinger models -- Linear hyperbolic systems -- Part 5 -- Research projects for beginners -- Background material. |
| Record Nr. | UNINA-9910300127703321 |
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Ebert Marcelo R
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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