Convergence of spectral methods for nonlinear conservation laws

A Hybrid Approach to Spectral Reconstruction of Piecewise Smooth Functions

Journal of Scientific Computing

A subgrid-scale deconvolution approach for shock capturing

Journal of Computational Physics

High-Order Algorithms for Large-Eddy Simulation of Incompressible Flows

Journal of Scientific Computing

On the Conservation and Convergence to Weak Solutions of Global Schemes

Journal of Scientific Computing

The spectral signal processing suite

ACM Transactions on Mathematical Software (TOMS)

Chebyshev super spectral viscosity method for a fluidized bed model

Journal of Computational Physics

A multidomain spectral method for supersonic reactive flows

Journal of Computational Physics

A spectral viscosity method for correcting the long-term behavior of POD models

Journal of Computational Physics

A high-wavenumber viscosity for high-resolution numerical methods

Journal of Computational Physics

Stabilized spectral element computations of high Reynolds number incompressible flows

Journal of Computational Physics

Short Note: Hyperviscosity for shock-turbulence interactions

Journal of Computational Physics

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow

Journal of Scientific Computing

The computational efficiency of non-linear frequency domain methods

Journal of Computational Physics

Spectral Vanishing Viscosity Method for Large-Eddy Simulation of Turbulent Flows

Journal of Scientific Computing

Stabilization Methods for Spectral Element Computations of Incompressible Flows

Journal of Scientific Computing

A windowed Fourier pseudospectral method for hyperbolic conservation laws

Journal of Computational Physics

Explicit small-scale velocity simulation for high-Re turbulent flows. Part II: Non-homogeneous flows

Journal of Computational Physics

Reconstruction of Piecewise Smooth Functions from Non-uniform Grid Point Data

Journal of Scientific Computing

Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws

Journal of Computational Physics

The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws

Journal of Computational Physics

A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities

Journal of Computational Physics

Analyses of smooth functions for spectral simulation of traffic flow

MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics

Effect of particle inertia on the dynamics of depositional particulate density currents

Computers & Geosciences

Variational multiscale turbulence modelling in a high order spectral element method

Journal of Computational Physics

On a filter for exponentially localized kernels based on Jacobi polynomials

Journal of Approximation Theory

Reduced-order models for parameter dependent geometries based on shape sensitivity analysis

Journal of Computational Physics

A shock-detecting sensor for filtering of high-order compact finite difference schemes

Journal of Computational Physics

A generalized diffusion frame for parsimonious representation of functions on data defined manifolds

Neural Networks

The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations

Computers & Mathematics with Applications

Adapting the spectral vanishing viscosity method for large-eddy simulations in cylindrical configurations

Journal of Computational Physics

A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation

Journal of Computational Physics

The Chebyshev spectral viscosity method for the time dependent Eikonal equation

Mathematical and Computer Modelling: An International Journal

Adaptive Spectral Viscosity for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation

Journal of Scientific Computing

An adaptive wavelet viscosity method for systems of hyperbolic conservation laws

Journal of Computational and Applied Mathematics