Superposition of multi-valued solutions in high frequency wave dynamics
From MaRDI portal
Publication:618357
DOI10.1007/s10915-008-9198-4zbMath1203.65141OpenAlexW2126277566MaRDI QIDQ618357
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-008-9198-4
Nonlinear first-order PDEs (35F20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement ⋮ Geometric discretization of the multidimensional Dirac delta distribution -- application to the Poisson equation with singular source terms ⋮ A level set approach for dilute non-collisional fluid-particle flows ⋮ On discreteness of the Hopf equation ⋮ A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discretization of Dirac delta functions in level set methods
- Geometric optics in a phase-space-based level set and Eulerian framework
- Using \(K\)-branch entropy solutions for multivalued geometric optics computations
- A level set framework for capturing multi-valued solutions of nonlinear first-order equations
- Two methods for discretizing a delta function supported on a level set
- Computing multi-valued velocity and electric fields for 1D Euler-Poisson equations
- ENO schemes with subcell resolution
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
- Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner
- Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation
- A PDE-based fast local level set method
- Local level set method in high dimension and codimension
- A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations
- Multi-phase computations in geometrical optics
- Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems
- A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations
- Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Analysis of a One-Dimensional Model for the Immersed Boundary Method
- Computational high frequency wave propagation
- TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION
