Spectral methods for hyperbolic problems

Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems

Journal of Scientific Computing

Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

Journal of Computational Physics

Spectral Element Methods for Transitional Flows in Complex Geometries

Journal of Scientific Computing

Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation

Journal of Scientific Computing

Chebyshev super spectral viscosity method for a fluidized bed model

Journal of Computational Physics

De-aliasing on non-uniform grids: algorithms and applications

Journal of Computational Physics

Towards the resolution of the Gibbs phenomena

Journal of Computational and Applied Mathematics

Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks

Journal of Computational Physics

Standardized pseudospectral formulation of the inviscid supsersonic blunt body problem

Journal of Computational Physics

On inverse methods for the resolution of the Gibbs phenomenon

Journal of Computational and Applied Mathematics

Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

Journal of Computational Physics

Generalization of the inverse polynomial reconstruction method in the resolution of the Gibbs phenomenon

Journal of Computational and Applied Mathematics

Collocation methods for the solution of von-Kármán dynamic non-linear plate systems

Journal of Computational Physics

Preserving positivity for hyperboilic PDEs using variable-order finite elements with bounded polynomials

Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation

A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence

Journal of Computational Physics

Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations

Journal of Computational Physics

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

Journal of Scientific Computing

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

Inverse Polynomial Reconstruction of Two Dimensional Fourier Images

Journal of Scientific Computing

Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods

Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics

Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves

Journal of Scientific Computing

A windowed Fourier pseudospectral method for hyperbolic conservation laws

Journal of Computational Physics

High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids

Journal of Computational Physics

A pseudospectral method of solution of Fisher's equation

Journal of Computational and Applied Mathematics

Idempotent filtering in spectral and spectral element methods

Journal of Computational Physics

Digital Total Variation Filtering as Postprocessing for Radial Basis Function Approximation Methods

Computers & Mathematics with Applications

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

Journal of Scientific Computing

Short Note: On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon

Journal of Computational Physics

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

Journal of Computational Physics

Discontinuous Galerkin methods with plane waves for time-harmonic problems

Journal of Computational Physics

Effective numerical viscosity in spectral multidomain penalty method-based simulations of localized turbulence

Journal of Computational Physics

Numerical modeling of double-layered piezoelectric transducer systems using a high-order discontinuous Galerkin method

Computers and Structures

Lagrange interpolation for continuous piecewise smooth functions

Journal of Computational and Applied Mathematics

Pseudospectral method of solution of the Fitzhugh-Nagumo equation

Mathematics and Computers in Simulation

Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials

Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation

Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods

Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics

Simulating 2D Waves Propagation in Elastic Solid Media Using Wavelet Based Adaptive Method

Journal of Scientific Computing

Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements

Journal of Computational and Applied Mathematics

The EPS method: A new method for constructing pseudospectral derivative operators

Journal of Computational Physics

A spectral FC solver for the compressible Navier-Stokes equations in general domains I: Explicit time-stepping

Journal of Computational Physics

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws

Journal of Computational Physics

Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

Journal of Computational Physics

Analysis of a Penalty Method

Journal of Scientific Computing

Stabilization of the Spectral Element Method in Convection Dominated Flows by Recovery of Skew-Symmetry

Journal of Scientific Computing