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Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
| Autore | Sochacki James |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24587-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction: The Linear ODE: x′ = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c -- Chapter 11. Egg 10: Newton’s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation -- References. |
| Record Nr. | UNINA-9910682548903321 |
Sochacki James
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
| Autore | Sochacki James |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24587-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction: The Linear ODE: x′ = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c -- Chapter 11. Egg 10: Newton’s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation -- References. |
| Record Nr. | UNISA-996518463403316 |
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Sochacki James
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models : Proceedings of the 50th John H. Barrett Memorial Lectures / / edited by Tadele Mengesha, Abner J. Salgado
| A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models : Proceedings of the 50th John H. Barrett Memorial Lectures / / edited by Tadele Mengesha, Abner J. Salgado |
| Autore | Mengesha Tadele |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (325 pages) |
| Disciplina | 518 |
| Altri autori (Persone) | SalgadoAbner J |
| Collana | The IMA Volumes in Mathematics and its Applications |
| Soggetto topico |
Numerical analysis
Differential equations Mathematical models Numerical Analysis Differential Equations Mathematical Modeling and Industrial Mathematics Teories no lineals |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-031-34089-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | CTRW approximations for fractional equations with variable order (Kolokoltsov) -- Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation (Borthagaray) -- Regularity estimates and open problems in kinetic equations (Silvestre) -- An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions (Littlewood) -- Nonlocal diffusion models with consistent local and fractional limits (Du) -- A one-dimensional symmetric force-based blending method for atomistic-to-continuum coupling (Li) -- A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations (Mengesha) -- An overview of Almost Minimizers of Bernoulli-Type Functionals (Garcia). |
| Record Nr. | UNINA-9910739457403321 |
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Mengesha Tadele
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Methods for Nonlinear Optimization / / by Luigi Grippo, Marco Sciandrone
| Introduction to Methods for Nonlinear Optimization / / by Luigi Grippo, Marco Sciandrone |
| Autore | Grippo Luigi |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (721 pages) |
| Disciplina |
519.3
530.15 |
| Collana | La Matematica per il 3+2 |
| Soggetto topico |
Mathematical optimization
Operations research Computer science—Mathematics Engineering mathematics Engineering—Data processing Continuous Optimization Operations Research and Decision Theory Mathematics of Computing Mathematical and Computational Engineering Applications Optimització matemàtica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-26790-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction.-2 Fundamental definitions and basic existence results -- 3 Optimality conditions for unconstrained problems in Rn -- 4 Optimality conditions for problems with convex feasible set -- 5 Optimality conditions for Nonlinear Programming -- 6 Duality theory -- 7 Optimality conditions based on theorems of the alternative -- 8 Basic concepts on optimization algorithms -- 9 Unconstrained optimization algorithms -- 10 Line search methods -- 11 Gradient method -- 12 Conjugate direction methods -- 13 Newton’s method -- 14 Trust region methods -- 15 Quasi-Newton Methods -- 16 Methods for nonlinear equations -- 17 Methods for least squares problems -- 18 Methods for large-scale optimization -- 19 Derivative-free methods for unconstrained optimization -- 20 Methods for problems with convex feasible set -- 21 Penalty and augmented Lagrangian methods -- 22 SQP methods -- 23 Introduction to interior point methods -- 24 Nonmonotone methods -- 25 Spectral gradient methods -- 26 Decomposition methods -- Appendix A: basic concepts of linear algebra and analysis -- Appendix B: Differentiation in Rn -- Appendix C: Introduction to convex analysis. |
| Record Nr. | UNINA-9910728387903321 |
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Grippo Luigi
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Journey into the Nonlinear World / / by Jüri Engelbrecht
| A Journey into the Nonlinear World / / by Jüri Engelbrecht |
| Autore | Engelbrecht Jüri |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (117 pages) |
| Disciplina | 530.15 |
| Soggetto topico |
Mathematics
Engineering mathematics Engineering - Data processing Physics Astronomy Earth sciences Geography Mathematical and Computational Engineering Applications Physics and Astronomy Earth and Environmental Sciences Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031639227
9783031639210 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Nonlinearity -- 2 Starting the journey -- 3 Institute of Cybernetics -- Centre for Nonlinear Studies - CENS, 1999-2015 -- 5 Research goes on after CENS -- 6 Science policy -- 7 Invisible college -- 8 Beauty of nonlinearities -- 9 Epilogue. |
| Record Nr. | UNINA-9910878051603321 |
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Engelbrecht Jüri
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The many facets of complexity science : in memory of Professor Valentin Afraimovich / / Dimitri Volchenkov, editor
| The many facets of complexity science : in memory of Professor Valentin Afraimovich / / Dimitri Volchenkov, editor |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 530.15 |
| Collana | Nonlinear Physical Science |
| Soggetto topico |
Nonlinear theories
Dynamics Teories no lineals Dinàmica |
| Soggetto genere / forma |
Homenatges
Llibres electrònics |
| ISBN | 981-16-2853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910495188003321 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The many facets of complexity science : in memory of Professor Valentin Afraimovich / / Dimitri Volchenkov, editor
| The many facets of complexity science : in memory of Professor Valentin Afraimovich / / Dimitri Volchenkov, editor |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (210 pages) |
| Disciplina | 530.15 |
| Collana | Nonlinear Physical Science |
| Soggetto topico |
Nonlinear theories
Dynamics Teories no lineals Dinàmica |
| Soggetto genere / forma |
Homenatges
Llibres electrònics |
| ISBN | 981-16-2853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466386603316 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors
| Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (ix, 486 pages) : illustrations |
| Disciplina | 519.3 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Mathematical optimization
Teories no lineals Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61732-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Friction Models in the Framework of Set-Valued and ConvexAnalysis -- 1 Introduction -- 2 The Approach of Moreau and Panagiotopoulos -- 3 Models of Frictions -- 4 Stability Analysis of a Two-Degree-of-Freedom Mechanical System -- References -- A Survey on Markov's Theorem on Zeros of Orthogonal Polynomials -- 1 Introduction -- 2 Main Result -- 3 Markov's Theorem and Its Descendants -- 4 Some Applications -- 4.1 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.4 -- 4.2 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.5 -- 4.3 Monotonicity of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- 4.4 Sharp Monotonicity Properties of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.3 -- 4.5 Monotonicity of the Zeros of Classical Discrete Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- References -- A Review of Two Network Curvature Measures -- 1 Introduction -- 2 Gromov-Hyperbolic Curvature -- 2.1 Topological Characteristics of Gromov-Hyperbolicity Measure -- 2.2 Gromov Curvature of Real-World Networks -- 2.3 Efficient Computation of Gromov Curvature -- 2.4 Algorithmic Implications of Small Gromov Curvature -- 2.5 Statistical Validation of Gromov Curvature via ``Scaled'' Version -- 3 Geometric Curvature -- 3.1 Basic Topological Concepts -- 3.2 Topological Association of Networks with a Complex -- 3.3 Defining Geometric Curvatures for Elementary Components of Given Graph -- 1-Complex-Based Geometric Curvature for a Pair of Nodes -- 2-Complex-Based Geometric Curvature for a Pair of Nodes -- Higher-Dimensional Geometric Curvature for a Pair of Nodes -- 3.4 Overall (Scalar) Curvature Value for a Network.
3.5 Computation of Geometric Curvatures -- 3.6 Real-World Networks and Geometric Curvatures -- 3.7 Statistical Validations for all Curvature Measures -- 4 Two Applications of Curvature Analysis of Graphs -- 4.1 Detecting Critical Elementary Components of Networks -- 4.2 Detecting Change Points in Dynamic Networks -- 5 Conclusion -- References -- A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage -- 1 Introduction -- 2 The Contact Problem -- 3 Proof of Theorem 1 -- 4 Analysis of a Numerical Scheme -- 5 Numerical Computations -- References -- Mixed Concave-Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases -- 1 Introduction -- 2 The Stationary Problem -- 2.1 Mixed Sub-linear Defocusing Case 0< -- p< -- q< -- 1 -- 2.2 The Defocusing Sub-linear Case p=1, 0< -- q< -- 1 -- 2.3 The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 2.4 A Mixed Sub-linear Defocusing Case o< -- q< -- p< -- 1 -- 2.5 A Mixed Sub-linear/Super-Linear Defocusing Case 0< -- p< -- 1< -- q -- 2.6 Mixed Super-Linear/Sub-linear Defocusing Case 0< -- q< -- 1< -- p -- 2.7 Mixed Linear/Super-Linear Defocusing Case p=1 and q> -- 1 -- 2.8 Mixed Super-Linear/Linear Defocusing Case q=1 and p> -- 1 -- 2.9 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- p< -- q -- 2.10 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- q< -- p -- 3 Some Graphical Illustrations -- 3.1 Example 1: The Mixed Sub-linear Case 0< -- p< -- q< -- 1 -- 3.2 Example 2: The Mixed Linear/Sub-linear Case p=1 and 0< -- q< -- 1 -- 3.3 Example 3: The Mixed Sub-linear/Sub-linear Case 0< -- q< -- p< -- 1 -- 3.4 Example 4: The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 4 Conclusion -- References -- An Optimization Model for a Network of Organ Transplants with Uncertain Availability. 1 Introduction -- 2 The Mathematical Model -- 3 Variational Inequality -- 4 Numerical Examples -- 4.1 Example 1 -- Example 1.2 -- 4.2 Example 2 -- 5 Conclusions -- References -- Algebraic Based Techniques as Decision Making Tools -- 1 Introduction -- 2 Preliminaries -- 3 Median Algebras -- 4 Median Homomorphisms as Consensus Procedures -- 4.1 Consensus Over Trees -- 4.2 Consensus Over Hypercube-Free Median Algebras -- 4.3 Consensus Over Weak Orders -- 5 Application -- 6 Conclusions -- References -- Norm Estimates for the Composite Operators -- 1 Introduction -- 2 Local Integrability -- 3 Global Integrability -- References -- A Variational Inequality Based Stochastic Approximation for Inverse Problems in Stochastic Partial Differential Equations -- 1 Introduction -- 2 Stochastic Approximation for Variational Inequalities -- 3 Stochastic Approximation for Inverse Problems -- 3.1 Optimization Formulation of the Inverse Problem -- 3.2 Discrete Formulas -- 4 Computational Experiments -- 5 Concluding Remarks -- References -- An Iterative Method for a Common Solution of Split Generalized Equilibrium Problems and Fixed Points of a Finite Family of Nonexpansive Mapping -- 1 Introduction -- 2 Preliminaries -- 3 The Proposed Method and Some Properties -- 4 Numerical Example -- 5 Conclusions -- References -- Periodic Solutions Around the Out-of-Plane Equilibrium Points in the Restricted Three-Body Problem with Radiation and Angular Velocity Variation -- 1 Introduction -- 2 Equations of Motion -- 3 Out-of-Plane Equilibrium Points -- 4 Spatial Periodic Orbits Around the Out-of-Plane Equilibria -- 4.1 The Analytical Approximation -- 4.2 The Numerical Approximation -- 5 Discussion and Conclusion -- References -- Optimal Lot Size with Partial Backlogging Under the Occurrence of Imperfect Quality Items -- 1 Introduction -- 2 Preliminaries -- 2.1 Assumptions. 2.2 Notation -- 3 Model Formulation and Optimal Policy Determination -- 3.1 Cycle Length -- 3.2 Total Profit Formulation -- 3.3 Optimal Policy -- 3.4 Special Cases -- 4 Numerical Comparisons -- 5 Cost Penalty of Employing the EOQ with Partial Backorders -- 6 Conclusions -- Appendix -- References -- Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators -- 1 Introduction and Motivation -- 2 Exponential Integrators for Hamiltonian Systems -- 3 High-Order Exponential Variational Integrators -- 4 Stability Analysis of Exponential Variational Integrators -- 4.1 Exponential Variational Integrator for S=2 -- 4.2 Exponential Variational Integrator for S=3 -- 5 Error Analysis from Testing the Variational Integrators in Hamiltonian Systems -- 6 Conclusions -- References -- A Degenerate Kirchhoff-Type Inclusion Problem with NonlocalOperator -- 1 Introduction -- 2 Mathematical Background -- 3 Statement of Main Result -- 4 Truncated Problems -- 5 Mountain-Pass Geometry -- 6 Palais-Smale Condition -- 7 Proof of Theorem 2 and Example -- References -- Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework -- 1 Introduction -- 2 Literature Review and Our Contributions -- 3 The Generalized Nash Equilibrium Network Model for Medical Supplies Under Stochastic Demand -- 3.1 Illustrative Examples -- 4 Qualitative Properties and the Algorithm -- The Modified Projection Method -- 5 Numerical Examples -- 6 Summary and Conclusions and Suggestions for Future Research -- References -- Relative Strongly Exponentially Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References -- Properties of Exponentially m-Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References. Natural vs. Artificial Topologies on a Relativistic Spacetime -- 1 Motivation: The Topologization Problem -- 2 What Is (or Should be) the Role of Spacetime Topology? -- 3 Singularities, Naked Singularities and a Kind of Unexpected Gravitational Time Delay Effects -- 4 A Duality Between Timelike-Spacelike Events: Between ``Chronos'' and ``Choros'' -- 5 Questions -- References -- On the Approximation of Monotone Variational Inequalities in Lp Spaces with Probability Measure -- 1 Introduction -- 2 Regularization of Random Variational Inequalities -- 2.1 Random Variational Inequalities in Probabilistic Lebesgue Spaces -- 2.2 A Functional Approximation Scheme for the Random Variational Inequality -- 2.3 Implementation -- 3 Application to the Traffic Network Equilibrium Problem with Random Data -- 3.1 An Outline of the Traffic Network Equilibrium Problem -- 3.2 The Stochastic VI Formulation of the Traffic Network Equilibrium Problem -- 3.3 Numerical Experiments -- References -- Operator Factorization and Solution of Second-Order Nonlinear Difference Equations with Variable Coefficients and Multipoint Constraints -- 1 Introduction -- 2 Factorization Method -- 3 Second-Order Nonlinear Difference Equations -- 3.1 Type I -- 3.2 Type II -- References -- An Invitation to the Study of a Uniqueness Problem -- Reference -- Schrödinger Equations in Nonlinear Optics -- 1 Introduction -- 2 Some Lemmas -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- References -- Ekeland Variational Principles in 2-Local Branciari Metric Spaces -- 1 Introduction -- 2 Dependent Choice Principles -- 3 Conv-Cauchy Structures -- 4 Local and 2-Local Branciari Metric Spaces -- 5 Main Result -- 6 Equivalence Statements -- References. |
| Record Nr. | UNINA-9910483922303321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors
| Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (ix, 486 pages) : illustrations |
| Disciplina | 519.3 |
| Collana | Springer optimization and its applications |
| Soggetto topico |
Mathematical optimization
Teories no lineals Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61732-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Friction Models in the Framework of Set-Valued and ConvexAnalysis -- 1 Introduction -- 2 The Approach of Moreau and Panagiotopoulos -- 3 Models of Frictions -- 4 Stability Analysis of a Two-Degree-of-Freedom Mechanical System -- References -- A Survey on Markov's Theorem on Zeros of Orthogonal Polynomials -- 1 Introduction -- 2 Main Result -- 3 Markov's Theorem and Its Descendants -- 4 Some Applications -- 4.1 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.4 -- 4.2 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.5 -- 4.3 Monotonicity of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- 4.4 Sharp Monotonicity Properties of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.3 -- 4.5 Monotonicity of the Zeros of Classical Discrete Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- References -- A Review of Two Network Curvature Measures -- 1 Introduction -- 2 Gromov-Hyperbolic Curvature -- 2.1 Topological Characteristics of Gromov-Hyperbolicity Measure -- 2.2 Gromov Curvature of Real-World Networks -- 2.3 Efficient Computation of Gromov Curvature -- 2.4 Algorithmic Implications of Small Gromov Curvature -- 2.5 Statistical Validation of Gromov Curvature via ``Scaled'' Version -- 3 Geometric Curvature -- 3.1 Basic Topological Concepts -- 3.2 Topological Association of Networks with a Complex -- 3.3 Defining Geometric Curvatures for Elementary Components of Given Graph -- 1-Complex-Based Geometric Curvature for a Pair of Nodes -- 2-Complex-Based Geometric Curvature for a Pair of Nodes -- Higher-Dimensional Geometric Curvature for a Pair of Nodes -- 3.4 Overall (Scalar) Curvature Value for a Network.
3.5 Computation of Geometric Curvatures -- 3.6 Real-World Networks and Geometric Curvatures -- 3.7 Statistical Validations for all Curvature Measures -- 4 Two Applications of Curvature Analysis of Graphs -- 4.1 Detecting Critical Elementary Components of Networks -- 4.2 Detecting Change Points in Dynamic Networks -- 5 Conclusion -- References -- A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage -- 1 Introduction -- 2 The Contact Problem -- 3 Proof of Theorem 1 -- 4 Analysis of a Numerical Scheme -- 5 Numerical Computations -- References -- Mixed Concave-Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases -- 1 Introduction -- 2 The Stationary Problem -- 2.1 Mixed Sub-linear Defocusing Case 0< -- p< -- q< -- 1 -- 2.2 The Defocusing Sub-linear Case p=1, 0< -- q< -- 1 -- 2.3 The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 2.4 A Mixed Sub-linear Defocusing Case o< -- q< -- p< -- 1 -- 2.5 A Mixed Sub-linear/Super-Linear Defocusing Case 0< -- p< -- 1< -- q -- 2.6 Mixed Super-Linear/Sub-linear Defocusing Case 0< -- q< -- 1< -- p -- 2.7 Mixed Linear/Super-Linear Defocusing Case p=1 and q> -- 1 -- 2.8 Mixed Super-Linear/Linear Defocusing Case q=1 and p> -- 1 -- 2.9 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- p< -- q -- 2.10 Mixed Super-Linear/Super-Linear Defocusing Case 1< -- q< -- p -- 3 Some Graphical Illustrations -- 3.1 Example 1: The Mixed Sub-linear Case 0< -- p< -- q< -- 1 -- 3.2 Example 2: The Mixed Linear/Sub-linear Case p=1 and 0< -- q< -- 1 -- 3.3 Example 3: The Mixed Sub-linear/Sub-linear Case 0< -- q< -- p< -- 1 -- 3.4 Example 4: The Mixed Sub-linear/Linear Case 0< -- p< -- 1 and q=1 -- 4 Conclusion -- References -- An Optimization Model for a Network of Organ Transplants with Uncertain Availability. 1 Introduction -- 2 The Mathematical Model -- 3 Variational Inequality -- 4 Numerical Examples -- 4.1 Example 1 -- Example 1.2 -- 4.2 Example 2 -- 5 Conclusions -- References -- Algebraic Based Techniques as Decision Making Tools -- 1 Introduction -- 2 Preliminaries -- 3 Median Algebras -- 4 Median Homomorphisms as Consensus Procedures -- 4.1 Consensus Over Trees -- 4.2 Consensus Over Hypercube-Free Median Algebras -- 4.3 Consensus Over Weak Orders -- 5 Application -- 6 Conclusions -- References -- Norm Estimates for the Composite Operators -- 1 Introduction -- 2 Local Integrability -- 3 Global Integrability -- References -- A Variational Inequality Based Stochastic Approximation for Inverse Problems in Stochastic Partial Differential Equations -- 1 Introduction -- 2 Stochastic Approximation for Variational Inequalities -- 3 Stochastic Approximation for Inverse Problems -- 3.1 Optimization Formulation of the Inverse Problem -- 3.2 Discrete Formulas -- 4 Computational Experiments -- 5 Concluding Remarks -- References -- An Iterative Method for a Common Solution of Split Generalized Equilibrium Problems and Fixed Points of a Finite Family of Nonexpansive Mapping -- 1 Introduction -- 2 Preliminaries -- 3 The Proposed Method and Some Properties -- 4 Numerical Example -- 5 Conclusions -- References -- Periodic Solutions Around the Out-of-Plane Equilibrium Points in the Restricted Three-Body Problem with Radiation and Angular Velocity Variation -- 1 Introduction -- 2 Equations of Motion -- 3 Out-of-Plane Equilibrium Points -- 4 Spatial Periodic Orbits Around the Out-of-Plane Equilibria -- 4.1 The Analytical Approximation -- 4.2 The Numerical Approximation -- 5 Discussion and Conclusion -- References -- Optimal Lot Size with Partial Backlogging Under the Occurrence of Imperfect Quality Items -- 1 Introduction -- 2 Preliminaries -- 2.1 Assumptions. 2.2 Notation -- 3 Model Formulation and Optimal Policy Determination -- 3.1 Cycle Length -- 3.2 Total Profit Formulation -- 3.3 Optimal Policy -- 3.4 Special Cases -- 4 Numerical Comparisons -- 5 Cost Penalty of Employing the EOQ with Partial Backorders -- 6 Conclusions -- Appendix -- References -- Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators -- 1 Introduction and Motivation -- 2 Exponential Integrators for Hamiltonian Systems -- 3 High-Order Exponential Variational Integrators -- 4 Stability Analysis of Exponential Variational Integrators -- 4.1 Exponential Variational Integrator for S=2 -- 4.2 Exponential Variational Integrator for S=3 -- 5 Error Analysis from Testing the Variational Integrators in Hamiltonian Systems -- 6 Conclusions -- References -- A Degenerate Kirchhoff-Type Inclusion Problem with NonlocalOperator -- 1 Introduction -- 2 Mathematical Background -- 3 Statement of Main Result -- 4 Truncated Problems -- 5 Mountain-Pass Geometry -- 6 Palais-Smale Condition -- 7 Proof of Theorem 2 and Example -- References -- Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework -- 1 Introduction -- 2 Literature Review and Our Contributions -- 3 The Generalized Nash Equilibrium Network Model for Medical Supplies Under Stochastic Demand -- 3.1 Illustrative Examples -- 4 Qualitative Properties and the Algorithm -- The Modified Projection Method -- 5 Numerical Examples -- 6 Summary and Conclusions and Suggestions for Future Research -- References -- Relative Strongly Exponentially Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References -- Properties of Exponentially m-Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References. Natural vs. Artificial Topologies on a Relativistic Spacetime -- 1 Motivation: The Topologization Problem -- 2 What Is (or Should be) the Role of Spacetime Topology? -- 3 Singularities, Naked Singularities and a Kind of Unexpected Gravitational Time Delay Effects -- 4 A Duality Between Timelike-Spacelike Events: Between ``Chronos'' and ``Choros'' -- 5 Questions -- References -- On the Approximation of Monotone Variational Inequalities in Lp Spaces with Probability Measure -- 1 Introduction -- 2 Regularization of Random Variational Inequalities -- 2.1 Random Variational Inequalities in Probabilistic Lebesgue Spaces -- 2.2 A Functional Approximation Scheme for the Random Variational Inequality -- 2.3 Implementation -- 3 Application to the Traffic Network Equilibrium Problem with Random Data -- 3.1 An Outline of the Traffic Network Equilibrium Problem -- 3.2 The Stochastic VI Formulation of the Traffic Network Equilibrium Problem -- 3.3 Numerical Experiments -- References -- Operator Factorization and Solution of Second-Order Nonlinear Difference Equations with Variable Coefficients and Multipoint Constraints -- 1 Introduction -- 2 Factorization Method -- 3 Second-Order Nonlinear Difference Equations -- 3.1 Type I -- 3.2 Type II -- References -- An Invitation to the Study of a Uniqueness Problem -- Reference -- Schrödinger Equations in Nonlinear Optics -- 1 Introduction -- 2 Some Lemmas -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- References -- Ekeland Variational Principles in 2-Local Branciari Metric Spaces -- 1 Introduction -- 2 Dependent Choice Principles -- 3 Conv-Cauchy Structures -- 4 Local and 2-Local Branciari Metric Spaces -- 5 Main Result -- 6 Equivalence Statements -- References. |
| Record Nr. | UNISA-996466563803316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Temporal Network Theory / / edited by Petter Holme, Jari Saramäki
| Temporal Network Theory / / edited by Petter Holme, Jari Saramäki |
| Autore | Holme Petter |
| Edizione | [2nd ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (486 pages) |
| Disciplina | 003.72 |
| Altri autori (Persone) | SaramäkiJari |
| Collana | Computational Social Sciences |
| Soggetto topico |
Graph theory
Sociology - Methodology Dynamics Nonlinear theories System theory Graph Theory Sociological Methods Applied Dynamical Systems Complex Systems Teoria de sistemes Teoria de grafs Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-30399-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. A map of approaches to temporal networks -- Chapter 2. Fundamental structures in temporal communication networks -- Chapter 3. Weighted, bipartite, or directed stream graphs for the modeling of temporal networks -- Chapter 4. Modelling temporal networks with Markov chains, community structures and change points -- Chapter 5. Visualisation of structure and processes on temporal networks -- Chapter 6. Weighted temporal event graphs and temporal-network connectivity -- Chapter 7. Exploring concurrency and reachability in the presence of high temporal resolution -- Chapter 8. Metrics for temporal text networks -- Chapter 9. Bursty time series analysis for temporal networks -- Chapter 10. Challenges in community discovery on temporal networks -- Chapter 11. Information diffusion backbone: From the union of shortest paths to the union of fastest path trees -- Chapter 12. Continuous-time random walks and temporal networks -- Chapter 13. Spreading of infection on temporal networks: An edge-centered perspective -- Chapter 14. The effect of concurrency on epidemic threshold in time-varying networks -- Chapter 15. Dynamics and control of stochastically switching networks: beyond fast switching -- Chapter 16. The effects of local and global link creation mechanisms on contagion processes unfolding on time-varying networks -- Chapter 17. Supracentrality analysis of temporal networks with directed interlayer coupling -- Chapter 18. Approximation methods for influence maximization in temporal networks -- Chapter 19. Temporal link prediction methods based on behavioral synchrony -- Chapter 20. A systematic derivation and illustration of temporal pair-based models -- Chapter 21. Modularity-based selection of the number of slices in temporal network clustering. |
| Record Nr. | UNINA-9910765486603321 |
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Holme Petter
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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