On the use of monotonicity-preserving interpolatory techniques in multilevel schemes for balance laws

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Well-balanced adaptive mesh refinement for shallow water flows
Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes
Hybrid second order schemes for scalar balance laws
A hybrid second order scheme for shallow water flows
High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
Adaptive multiresolution methods for the simulation of waves in excitable media
The PCHIP subdivision scheme
Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems
A high-resolution penalization method for large Mach number flows in the presence of obstacles
Symmetric iterative interpolation processes
Local adaptive mesh refinement for shock hydrodynamics
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
Upwind methods for hyperbolic conservation laws with source terms
Shock-vortex interactions at high Mach numbers
Numerical experiments with the multiresolution scheme for the compressible Euler equations
Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models
Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties
Well-balanced high-order finite volume methods for systems of balance laws
Point value multiscale algorithms for 2D compressible flows
Well-Balanced Schemes and Path-Conservative Numerical Methods
Adaptive finite volume methods with well-balanced Riemann solvers for modeling floods in rugged terrain: Application to the Malpasset dam-break flood (France, 1959)
Adaptive mesh refinement techniques for high-order shock capturing schemes for multi-dimensional hydrodynamic simulations
Cost-effective Multiresolution schemes for Shock Computations
A Method for Constructing Local Monotone Piecewise Cubic Interpolants
Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I
Compact Central WENO Schemes for Multidimensional Conservation Laws
A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
A practical guide to splines.

This page was built for publication: On the use of monotonicity-preserving interpolatory techniques in multilevel schemes for balance laws

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6575308)