New high-resolution central schemes for nonlinear conservation laws and convection—diffusion equations

Shock-capturing and front-tracking methods for granular avalanches

Journal of Computational Physics

A smoothness indicator for adaptive algorithms for hyperbolic systems

Journal of Computational Physics

On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes

Journal of Computational Physics

Adaptation and Assessment of a High Resolution Semi-discrete Numerical Scheme for Hyperbolic Systems with Source Terms and Stiffness

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

Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws II

Journal of Computational Physics

An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions

Journal of Computational Physics

High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton--Jacobi equations

Journal of Computational Physics

A note on the use of central schemes for incompressible Navier-Stokes flows

Journal of Computational Physics

Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems

Mathematics of Computation

Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)

Application of the Kurganov-Levy semi-discrete numerical scheme to hyperbolic problems with nonlinear source terms

Future Generation Computer Systems - Special issue: Selected numerical algorithms

A central-constrained transport scheme for ideal magnetohydrodynamics

Journal of Computational Physics

Relaxed High Resolution Schemes for Hyperbolic Conservation Laws

Journal of Scientific Computing

Furnace geometry effects on plume dynamics in laser ablation for nanotube synthesis

Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications

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

Moving mesh methods with locally varying time steps

Journal of Computational Physics

Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations

Journal of Computational Physics

Non-oscillatory central schemes for one- and two-dimensional MHD equations: I

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)

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

Racoon: a parallel mesh-adaptive framework for hyperbolic conservation laws

Parallel Computing

Computations of steady and unsteady transport of pollutant in shallow water

Mathematics and Computers in Simulation

Numerical approximation of the viscous quantum hydrodynamic model for semiconductors

Applied Numerical Mathematics

CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations

Applied Numerical Mathematics

Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications

Journal of Computational and Applied Mathematics

MUSTA Fluxes for systems of conservation laws

Journal of Computational Physics

On a practical implementation of particle methods

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)

Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu-Tadmor central scheme and soliton modeling

Mathematics and Computers in Simulation - Special issue: Nonlinear waves: computation and theory IV

Explicit solutions to a convection-reaction equation and defects of numerical schemes

Journal of Computational Physics

Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method

Applied Numerical Mathematics

Convex ENO Schemes for Hamilton-Jacobi Equations

Journal of Scientific Computing

Adaptive multiresolution WENO schemes for multi-species kinematic flow models

Journal of Computational Physics

Short Note: Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems

Journal of Computational Physics

DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems

Mathematics and Computers in Simulation

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

New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

Journal of Computational Physics

An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate

Applied Numerical Mathematics

On the numerical solution of a driven thin film equation

Journal of Computational Physics

Non-oscillatory central-upwind scheme for hyperbolic conservation laws

International Journal of Computational Fluid Dynamics

A class of residual distribution schemes and their relation to relaxation systems

Journal of Computational Physics

A central Rankine-Hugoniot solver for hyperbolic conservation laws

Journal of Computational Physics

High Order Strong Stability Preserving Time Discretizations

Journal of Scientific Computing

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 semi-discrete solution for a wind turbine fluid model

ASMCSS'09 Proceedings of the 3rd International Conference on Applied Mathematics, Simulation, Modelling, Circuits, Systems and Signals

Assessment of a non-traditional operator split algorithm for simulation of reactive transport

Mathematics and Computers in Simulation

Numerical integration of the plasma fluid equations with a modification of the second-order Nessyahu-Tadmor central scheme and soliton modeling

Mathematics and Computers in Simulation

Racoon: A parallel mesh-adaptive framework for hyperbolic conservation laws

Parallel Computing

Modeling of plume dynamics and shock wave in laser ablation with application to nano-technology

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII

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

Magnetorotational supernovae with resistivities

NANOTECHNOLOGY'10 Proceedings of the 2nd WSEAS international conference on Nanotechnology

Upwind-biased FORCE schemes with applications to free-surface shallow flows

Journal of Computational Physics

Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation

Applied Numerical Mathematics

A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Journal of Scientific Computing

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

Journal of Scientific Computing

Finite volume schemes for dispersive wave propagation and runup

Journal of Computational Physics

Toward a Mathematical Analysis for Drift-Flux Multiphase Flow Models in Networks

SIAM Journal on Scientific Computing

On Stability, Monotonicity, and Construction of Difference Schemes I: Theory

SIAM Journal on Scientific Computing

On Stability, Monotonicity, and Construction of Difference Schemes II: Applications

SIAM Journal on Scientific Computing

Modelling and simulation of solitons and discontinuities in adiabatic and ideal gas and elecrostatic plasma one dimensional systema

MMACTEE'07 Proceedings of the 9th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

Journal of Computational Physics

Original article: A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions

Mathematics and Computers in Simulation

Solving convection-diffusion-reaction equation by adaptive finite volume element method

Mathematics and Computers in Simulation

Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics

Journal of Computational Physics

Vorticity Preserving Finite Volume Schemes for the Shallow Water Equations

SIAM Journal on Scientific Computing

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

SIAM Journal on Scientific Computing

Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

SIAM Journal on Numerical Analysis

Accelerating euler equations numerical solver on graphics processing units

ICA3PP'10 Proceedings of the 10th international conference on Algorithms and Architectures for Parallel Processing - Volume Part II

On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms

Applied Numerical Mathematics

A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids

SIAM Journal on Scientific Computing

A Numerical Scheme for Three-Dimensional Front Propagation and Control of Jordan Mode

SIAM Journal on Scientific Computing

Alternating Evolution Schemes for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing

Original Article: High order well-balanced scheme for river flow modeling

Mathematics and Computers in Simulation

New adaptive artificial viscosity method for hyperbolic systems of conservation laws

Journal of Computational Physics

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

Journal of Computational Physics

Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model

Journal of Scientific Computing

A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing

Local radial basis function collocation method along with explicit time stepping for hyperbolic partial differential equations

Applied Numerical Mathematics

A Non-oscillatory Central Scheme for One-Dimensional Two-Layer Shallow Water Flows along Channels with Varying Width

Journal of Scientific Computing

Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics

Journal of Computational Physics

Phase Appearance or Disappearance in Two-Phase Flows

Journal of Scientific Computing

Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models

Applied Numerical Mathematics

Original article: Rapid quantification of uncertainty in permeability and porosity of oil reservoirs for enabling predictive simulation

Mathematics and Computers in Simulation