A smoothness indicator for adaptive algorithms for hyperbolic systems
Journal of Computational Physics
Journal of Computational Physics
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
Kinetic derivation of a finite difference scheme for the incompressible Navier--Stokes equation
Journal of Computational and Applied Mathematics
High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton--Jacobi equations
Journal of Computational Physics
High resolution conjugate filters for the simulation of flows
Journal of Computational Physics
A note on the use of central schemes for incompressible Navier-Stokes flows
Journal of Computational Physics
Future Generation Computer Systems - Special issue: Selected numerical algorithms
A central-constrained transport scheme for ideal magnetohydrodynamics
Journal of Computational Physics
Compressible and incompressible limits for hyperbolic systems with relaxation
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002
Variants of relaxed schemes and two-dimensional gas dynamics
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
Central schemes on overlapping cells
Journal of Computational Physics
Staggered Finite Difference Schemes for Conservation Laws
Journal of Scientific Computing
On the Total Variation of High-Order Semi-Discrete Central Schemes for Conservation Laws
Journal of Scientific Computing
A windowed Fourier pseudospectral method for hyperbolic conservation laws
Journal of Computational Physics
Computations of steady and unsteady transport of pollutant in shallow water
Mathematics and Computers in Simulation
Applied Numerical Mathematics
Applied Numerical Mathematics
A Variational Technique for Time Consistent Tracking of Curves and Motion
Journal of Mathematical Imaging and Vision
A new fourth-order non-oscillatory central scheme for hyperbolic conservation laws
Applied Numerical Mathematics
An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate
Applied Numerical Mathematics
Non-oscillatory central-upwind scheme for hyperbolic conservation laws
International Journal of Computational Fluid Dynamics
Simulations of Needle Insertion by Using a Eulerian Hydrocode FEM and the Experimental Validations
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
A central conservative scheme for general rectangular grids
Journal of Computational Physics
Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence
Journal of Computational Physics
Variants of relaxed schemes and two-dimensional gas dynamics
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
A variational framework for spatio-temporal smoothing of fluid motions
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
On Stability, Monotonicity, and Construction of Difference Schemes II: Applications
SIAM Journal on Scientific Computing
Applied Numerical Mathematics
A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids
SIAM Journal on Scientific Computing
Peer methods for the one-dimensional shallow-water equations with CWENO space discretization
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Journal of Scientific Computing
Riemann solver for a kinematic wave traffic model with discontinuous flux
Journal of Computational Physics
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We present a new third-order, semidiscrete, central method for approximating solutions to multidimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semidiscrete method in [A. Kurgonov and E. Tadmor, J. Comput Phys., 160 (2000) pp. 241--282].The method is derived independently of the specific piecewise polynomial reconstruction which is based on the previously computed cell-averages. We demonstrate our results by focusing on the new third-order central weighted essentially nonoscillatory (CWENO) reconstruction presented in [D. Levy, G. Puppo, and G. Russo, SIAM J. Sci. Comput., 21 (1999), pp. 294--322]. The numerical results we present show the desired accuracy, high resolution, and robustness of our method.