On discreteness of the Hopf equation (Q946238)

scientific article; zbMATH DE number 5345698

Language	Label	Description	Also known as
English	On discreteness of the Hopf equation	scientific article; zbMATH DE number 5345698

Statements

instance of

scholarly article

0 references

title

On discreteness of the Hopf equation (English)

0 references

author

Hailiang Liu

0 references

published in

Acta Mathematicae Applicatae Sinica. English Series

0 references

publication date

22 September 2008

0 references

zbMATH Keywords

Hopf equation

0 references

dispersive scheme

0 references

shock capturing schemes

0 references

multi-valued solutions

0 references

level set equation

0 references

Goudman-Lax scheme

0 references

centered scheme

0 references

hyperbolic conservation laws

0 references

describes a project that uses

HLLE

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s10255-008-8021-1

0 references

cites work

High-Order Central Schemes for Hyperbolic Systems of Conservation Laws

0 references

Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness

0 references

Q3786181

0 references

Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

0 references

Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids

0 references

Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations

0 references

Q4659247

0 references

Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

0 references

On the well-posedness of the Degasperis-Procesi equation

0 references

The piecewise parabolic method (PPM) for gas-dynamical simulations

0 references

Q3999241

0 references

On the solution of nonlinear hyperbolic differential equations by finite differences

0 references

Two approximations of solutions of Hamilton-Jacobi equations

0 references

Q4508328

0 references

Q3786180

0 references

Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

0 references

Stable and Entropy Satisfying Approximations for Transonic Flow Calculations

0 references

Computational high frequency wave propagation

0 references

A Geometric Interpretation of the Heat Equation with Multivalued Initial Data

0 references

A NONLOCAL CONSERVATION LAW WITH NONLINEAR "RADIATION" INHOMOGENEITY

0 references

Symplectic structures, their Bäcklund transformations and hereditary symmetries

0 references

A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS

0 references

Q5558541

0 references

On dispersive difference schemes. I

0 references

Convergence results for an inhomogeneous system arising in various high frequency approximations

0 references

Strong stability-preserving high-order time discretization methods

0 references

High resolution schemes for hyperbolic conservation laws

0 references

Uniformly high order accurate essentially non-oscillatory schemes. III

0 references

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

0 references

Dispersive approximations in fluid dynamics

0 references

Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws

0 references

Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems

0 references

Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation

0 references

A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations

0 references

On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices

0 references

Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations

0 references

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

0 references

New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations

0 references

The small dispersion limit of the Korteweg-de Vries equation. I

0 references

Weak solutions of nonlinear hyperbolic equations and their numerical computation

0 references

On dispersive difference schemes

0 references

Difference schemes for hyperbolic equations with high order of accuracy

0 references

Large oscillations arising in a dispersive numerical scheme

0 references

Central WENO schemes for hyperbolic systems of conservation laws

0 references

Wave Breaking in a Class of Nonlocal Dispersive Wave Equations

0 references

AN ALTERNATING EVOLUTION APPROXIMATION TO SYSTEMS OF HYPERBOLIC CONSERVATION LAWS

0 references

A level set framework for capturing multi-valued solutions of nonlinear first-order equations

0 references

Q3593763

0 references

Critical thresholds in a convolution model for nonlinear conservation laws

0 references

Computing multi-valued velocity and electric fields for 1D Euler-Poisson equations

0 references

A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations

0 references

Superposition of multi-valued solutions in high frequency wave dynamics

0 references

Weighted essentially non-oscillatory schemes

0 references

Third order nonoscillatory central scheme for hyperbolic conservation laws

0 references

Central schemes on overlapping cells

0 references

Modulation of multiphase waves in the presence of resonance

0 references

Local level set method in high dimension and codimension

0 references

Non-oscillatory central differencing for hyperbolic conservation laws

0 references

Riemann Solvers, the Entropy Condition, and Difference

0 references

A Level Set Formulation for the Solution of the Dirichlet Problem for Hamilton–Jacobi Equations

0 references

Geometric optics in a phase-space-based level set and Eulerian framework

0 references

Level set methods and dynamic implicit surfaces

0 references

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

0 references

A level set-based Eulerian approach for anisotropic wave propagation

0 references

The Riemann problem for the transportation equations in gas dynamics

0 references

Efficient implementation of essentially nonoscillatory shock-capturing schemes

0 references

Efficient implementation of essentially nonoscillatory shock-capturing schemes. II

0 references

Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes

0 references

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations

0 references

The Small Dispersion Limit for a Nonlinear Semidiscrete System of Equations

0 references

Q3920901

0 references

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

0 references

The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient

0 references

The toda shock problem

0 references

Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation

0 references

Global weak solutions for a new periodic integrable equation with peakon solutions

0 references

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

0 references

Identifiers

zbMATH Open document ID

1149.65071

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1007/S10255-008-8021-1

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:946238