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[null,"1.","Record Nr.",null,"UNINA9910865263203321"]
[null,null,"Autore",null,"Parés Carlos"]
[null,null,"Titolo",null,"Hyperbolic Problems: Theory, Numerics, Applications. Volume II : HYP2022, Málaga, Spain, June 20-24, 2022 / / edited by Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024"]
[null,null,"ISBN",null,"9783031552649"]
[{"$nulls":4},"3031552644"]
[null,null,"Edizione",null,"[1st ed. 2024.]"]
[null,null,"Descrizione fisica",null,"1 online resource (463 pages)"]
[null,null,"Collana",null,"SEMA SIMAI Springer Series, , 2199-305X ; ; 35"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Mathematical analysis"]
[{"$nulls":4},"Mathematics - Data processing"]
[{"$nulls":4},"Numerical analysis"]
[{"$nulls":4},"Analysis"]
[{"$nulls":4},"Computational Mathematics and Numerical Analysis"]
[{"$nulls":4},"Numerical Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- Numerics -- A Discrete Velocity Numerical Scheme for the 2D Bitemperature Euler System -- 1 Introduction -- 2 Underlying Discrete BGK Model for a Nonconservative Euler System -- 3 Numerical Approximation -- 4 A Numerical Experiment: The Triple Point Problem -- References -- Finding an Approximate Riemann Solver via Relaxation: Concept and Advantages -- 1 Introduction -- 2 Concept of Relaxation -- 3 The Suliciu Relaxation Model -- 4 A Two-Speed Relaxation System -- 5 Numerical Results -- 5.1 A Low Mach Number Test -- 5.2 A Well-Balancing Test -- 6 Conclusion -- References -- Lagrange-Projection Exactly Well-Balanced Finite Volume Schemes for the Ripa Model -- 1 Introduction -- 2 First Order Scheme -- 3 Second Order Scheme -- 4 Numerical Experiments -- 4.1 Order Test -- 4.2 A Small Perturbation of a Steady-State Solution -- References -- Simulating Partial Differential Equations with Neural Networks -- 1 Introduction -- 2 Neural Networks -- 3 Simulating PDEs with the Help of Neural Networks -- 3.1 The Finite-Volume Method -- 3.2 Time-Stepping Neural Network -- 4 Numerical Examples -- 4.1 Burgers Equation -- 4.2 2-D Navier-Stokes Equations -- 5 Conclusion -- References -- A Fifth-Order A-WENO Scheme Based "]
[{"$nulls":4},"on the Low-Dissipation Central-Upwind Fluxes -- 1 Introduction -- 2 Fifth-Order A-WENO Schemes -- 3 Numerical Examples -- References -- Large Time Behavior of Finite Difference Schemes for the Transport Equation -- 1 Context -- 2 Main Result: Generalization of the Local Limit Theorem -- 3 A Numerical Example: The O3 Scheme -- References -- Model Adaptation for Hyperbolic Balance Laws -- 1 Introduction -- 2 Error Estimator -- 3 Model Adaptation Strategy -- 4 Numerical Results -- 5 Conclusion -- References."]
[{"$nulls":4},"Well-Balanced Methods for Compressible Euler Equations with Gravitational Force that Preserve Transonic Stationary Solutions -- 1 Introduction -- 2 Stationary Solutions -- 3 Well-Balanced Methods -- 4 Computation of Local Equilibria -- 5 Numerical Experiments -- 6 Conclusions -- References -- High-Order Well-Balanced Finite Volume Schemes for 1d and 2d Shallow-Water Equations with Variable Bathymetry and Coriolis Forces -- 1 Introduction -- 2 Well-Balanced Finite Volumes Schemes -- 3 Well-Balanced Scheme for the One Dimensional Shallow-Water Equations with Coriolis Terms -- 3.1 First and Second Order Well-Balanced Scheme -- 3.2 Third Order Well-Balanced Scheme -- 4 Well-Balanced Scheme for the Two Dimensional Shallow-Water System with Coriolis Terms -- 5 Numerical Experiments -- 5.1 One Dimensional Geostrophic Stationary Solutions -- 5.2 One Dimensional Pertubated Geostrophic Stationary Solutions -- 5.3 2d Vortex Stationary Solution -- References -- Higher-Dimensional Deterministic Approach for Conservation Laws with Random Initial Data -- 1 Introduction -- 2 The Scalar Stochastic Cauchy Problem and Its Deterministic Reformulation -- 3 Numerical Results -- 3.1 Burgers' Equation with Non-uniform Uncertain Initial Values -- 4 Conclusion -- References -- A Necessary Condition for Non-Oscillatory and Positivity Preserving Time-Integration Schemes -- 1 Introduction -- 2 Connection Between Oscillations and Lyapunov Stability -- 3 Analysis of Modified Patankar Schemes -- 4 Numerical Comparison -- 5 Conclusion -- References -- Von Neumann Stability Analysis of Upwind Numerical Scheme Applied to Level Set Equation with Small Curvature Term -- 1 Mathematical Model -- 2 Numerical Discretization -- 3 Von Neumann Stability Analysis -- 4 Numerical Experiments -- 5 Conclusions -- References."]
[{"$nulls":4},"Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance -- 1 Introduction -- 2 Option Pricing Models -- 3 Finite Volume IMEX Runge-Kutta Numerical Method -- 3.1 Finite Volume Space Discretization -- 3.2 IMEX Runge-Kutta Time Discretization -- 4 Numerical Experiments -- 4.1 Options on a Basket of Two Assets -- 4.2 Heston Model -- 5 Conclusions -- References -- Numerical Computation of the Wave Speed for Hyperbolic Reaction-Diffusion Equations -- 1 Modeling Reaction-Diffusion Phenomena -- 2 Propagating Fronts for Reaction-Diffusion Equation -- 2.1 Phase-Plane Algorithm and Its Validation -- 3 PDE-based Schemes for the Propagation Speed -- 3.1 Two PDE-based Algorithms for Speed Computation -- References -- CAT-MOOD Methods for Conservation Laws in One Space Dimension -- 1 Introduction -- 2 Governing Equations -- 2.1 Notation -- 3 Compact Approximate Taylor (CAT) Schemes -- 4 CATMOOD -- 4.1 MOOD Admissibility Criteria -- 4.2 CAT Scheme with MOOD Limiting -- 5 Numerical Test Cases -- 5.1 Scalar Linear Equation -- 5.2 Burgers' Equation -- 5.3 Euler System: Sod Problem -- 6 Conclusion and Perspectives -- References -- Numerical Modeling of Liquid-Vapor-Gas Flows with Arbitrary-Rate Mass Transfer -- 1 Introduction -- 2 Single-Velocity Three-Component Compressible Flow Model -- 3 Numerical Method -- 3.1 Numerical Relaxation Procedures -- 4 Numerical "]
[{"$nulls":4},"Experiments -- 4.1 Three-Component Water Cavitation Tube -- 4.2 Underwater Explosion Close to a Flat Surface -- 5 Conclusions -- References -- Fully Well-Balanced Methods for Shallow Water Linearized Moment Model with Friction -- 1 Introduction -- 2 Shallow Water Linearized Moment Equations -- 3 Fully Well-Balanced Numerical Methods -- 3.1 First-Order Fully Well-Balanced Method -- 3.2 Second-Order Fully Well-Balanced Method -- 4 Numerical Tests."]
[{"$nulls":4},"4.1 Test 1: Stationary Solution -- 4.2 Test 2: Stationary Solution with Perturbation -- 5 Conclusions and Future Works -- References -- A Cheap and Easy-to-Implement Upwind Scheme for Second Order Traffic Flow Models -- 1 Introduction -- 2 General Second Order Models -- 3 Hilliges-Weidlich Numerical Scheme -- 4 Numerical Tests -- 4.1 Riemann Problems -- 4.2 Model Calibration: Computational Cost -- References -- Higher Order Compact Implicit Finite Volume Schemes for Scalar Conservation Laws -- 1 Introduction -- 2 Mathematical Model and Finite Volume Method -- 3 The Second Order Accurate Parametric Compact Implicit Scheme -- 4 The Third Order Accurate Compact Implicit Scheme -- 5 Numerical Experiments -- 5.1 Linear Advection Equation -- 5.2 Burgers Equation -- 6 Conclusion -- References -- High Resolution Well-Balanced Compact Implicit Numerical Scheme for Numerical Solution of the Shallow Water Equations -- 1 Shallow Water Equations -- 2 Well-Balanced Compact Implicit Numerical Scheme -- 3 High Resolution form Using Characteristic Variables -- 3.1 The Conservation Property -- 4 Numerical Experiment -- 4.1 Lake at Rest -- 4.2 Supercritical Flow -- 4.3 Transcritical Flow Without Shock -- References -- Applications -- Finite Element Discretization  of a Biological Network Formation System: A Preliminary Study -- 1 Introduction -- 2 Mathematical Model -- 3 Discretization -- 4 Results -- 4.1 Accuracy Tests -- 4.2 Numerical Tests -- 5 Conclusions -- References -- Linear Landau Damping for a Two Species Vlasov-Poisson System for Electrons and Ions -- 1 Introduction -- 2 Existence of Equilibria and Linearisation of the Vlasov Model -- 2.1 Existence of Equilibria -- 2.2 Linearisation of the Vlasov Model -- 3 Linear Landau Damping for the Two Species Model -- 3.1 Methods of Characteristics -- 3.2 Fourier Transform of the Distribution Functions."]
[{"$nulls":4},"3.3 Convergence Rates of the Densities -- 3.4 The Landau-Penrose Stability Criterion -- 4 Summary and Outlook -- References -- About the Structural Stability of Maxwell Fluids: Convergence Toward Elastodynamics -- 1 Maxwell Fluids as Links Between Solids and Newtonian Fluids -- 2 Setting of the Problem for 1D Viscoelastic Shear Waves -- 3 Structural Stability of 1D Shear Waves When StartFraction 1 Over lamda EndFraction identical to xi right arrow 01λequivξto0 -- 4 Structural Stability of General Maxwell Flows When StartFraction 1 Over lamda EndFraction identical to xi right arrow 01λequivξto0 -- 5 Conclusion and Perpsectives -- References -- A Correction of the Friction Term in Depth-Averaged Granular Flow Models Related to the Motion/Stop Criterion -- 1 Introduction and Notation -- 2 Proposed Correction -- 3 Numerical Tests -- 3.1 Test 1: Comparison of the Three Models for a Variable Topography -- 3.2 Test 2: Comparison with Experimental Data for Submarine Avalanches -- References -- Hyperbolicity Region of a Rational Extended Thermodynamics Model with 14 Moments for a Non-polytropic Gas -- 1 Introduction -- 2 RET Theories for Rarefied Polyatomic Gases -- 2.1 The RET 14 Moment Theory for a Non-polytropic Gas -- 3 The Determination of the Hyperbolicity Region -- 4 The HR of a RET 14-Moment System for a Non-polytropic Gas -- 4.1 The Example of Para-Hydrogen -- 5 Conclusions -- References -- Stability Estimates for Nonlocal Balance "]
[{"$nulls":4},"Laws Arising in Traffic Modelling -- 1 Introduction -- 1.1 Aim -- 1.2 Related Works -- 1.3 Outline of This Paper -- 2 Mathematical Model -- 3 Main Result -- 4 Numerical Examples -- 5 Conclusions -- References -- Balance Laws with Singular Source Term and Applications to Fluid Dynamics -- 1 Motivation -- 2 Main Results -- References -- Hyperbolic Techniques in Epidemiological Modeling -- 1 Introduction."]
[{"$nulls":4},"2 The SIHR Model: An Age and Space Structured Epidemic Model."]
[null,null,null,"Sommario/riassunto","The present volume contains a selection of papers from the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022), which was held on June 20-24, 2022 in Málaga (Spain). The goal of this series of conferences is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models. The chapters in this volume correspond to selected contributions related to numerical aspects and applications."]