Theory, numerics and applications of hyperbolic problems. II : Aachen, Germany, August 2016.
The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (syste...
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Full Text (via Springer) |
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| Format: | Conference Proceeding eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2018.
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| Series: | Springer proceedings in mathematics & statistics ;
v. 237. |
| Subjects: |
MARC
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| 245 | 1 | 0 | |a Theory, numerics and applications of hyperbolic problems. |n II : |b Aachen, Germany, August 2016. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2018. | |
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| 490 | 1 | |a Springer proceedings in mathematics & statistics ; |v volume 237. | |
| 505 | 0 | |a Intro; Contents; Proceedings of the 16th International Conference on Hyperbolic Problems: Theory, Numerics and Application; Organizer's Introduction; Reference; Speakers at the 16th International Conference on Hyperbolic Problems that Contributed to these Proceedings; A Stochastic Galerkin Method for the Fokker-Planck-Landau Equation with Random Uncertainties; 1 Introduction; 2 The gPC-sG Method for the FPL Equation with Uncertainties; 3 The Spatial and Time Discretization; 4 Consistency Analysis of the gPC-sG Method for the Collision Operator; 5 A Remark on High-Dimensional Random Spaces. | |
| 505 | 8 | |a 6 Numerical Results6.1 Random Initial Data: A Shock Tube Problem; 6.2 The Landau Damping; 6.3 A Random Neutralizing Background; 6.4 An Example with a Two-Dimensional Random Variable; 6.5 An Example with a Six-Dimensional Random Domain; 7 Conclusion; References; On Robust and Adaptive Finite Volume Methods for Steady Euler Equations; 1 Introduction; 2 Finite Volume Framework for Steady Euler Equations; 2.1 Governing Equations; 2.2 Newton Linearization; 3 Solution Reconstruction; 4 Towards Efficiency; 5 Numerical Tests; 5.1 Subsonic Flow Through a Circular Cylinder. | |
| 505 | 8 | |a 5.2 Inviscid Flow Through a Channel with a Smooth Bump5.3 Transonic Flow Around a NACA 0012 Airfoil; 6 Conclusion; References; The Burgers-Hilbert Equation; 1 The Burgers-Hilbert Equation; 2 Vorticity Discontinuities; 3 Smooth Solutions and Singularity Formation; 4 Shocks; 5 Small-Amplitude BH Dynamics; 6 Enhanced Life Span of Smooth Solutions; 7 Asymptotic Equation for the BH Equation; References; General Linear Methods for Time-Dependent PDEs; 1 Introduction; 2 Numerical Method; 2.1 The Hybridized Discontinuous Galerkin Method; 2.2 General Linear Methods. | |
| 505 | 8 | |a Existence of Undercompressive Shock Wave Solutions to the Euler Equations1 Introduction; 2 The Mathematical Model and the Main Result; 2.1 The Initial Boundary Value Problem; 3 Proof of the Main Result; References; Some Numerical Results of Regional Boundary Controllability with Output Constraints; 1 Introduction; 2 Preliminaries and Notations; 3 Lagrangian Approach; 4 Numerical Approach and Simulations; 5 Conclusion; References; Water Hammer Modeling for Water Networks via Hyperbolic PDEs and Switched DAEs; 1 Introduction; 2 Mathematical Model; 2.1 Models of Water Flow in Pipe. | |
| 520 | |a The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed July 2, 2018) | |
| 650 | 0 | |a Differential equations, Hyperbolic |v Congresses. |0 http://id.loc.gov/authorities/subjects/sh2009123364. | |
| 700 | 1 | |a Klingenberg, Christian, |e editor. | |
| 700 | 1 | |a Westdickenberg, Michael, |e editor. |0 http://id.loc.gov/authorities/names/no2002032321. | |
| 830 | 0 | |a Springer proceedings in mathematics & statistics ; |v v. 237. |0 http://id.loc.gov/authorities/names/no2013000283. | |
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| 880 | 8 | |6 505-00/(S |a 2.3 Applying DIMSIMs to the HDG Method3 Numerical Results; 3.1 Linear Convection-Diffusion Equation; 3.2 Navier-Stokes Equations; 4 Conclusion and Outlook; References; An Invariant-Region-Preserving (IRP) Limiter to DG Methods for Compressible Euler Equations; 1 Introduction; 2 The Limiter; 2.1 Averaging is Contraction; 2.2 Reconstruction; 2.3 Algorithm; 3 Numerical Tests; 4 Conclusion and Future Work; References; β-Schemes with Source Terms and the Convergence Analysis; 1 Introduction; 2 The Convergence of β-Schemes with Source Terms; References. | |
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