Nonlinear Galerkin methods

Exponential time differencing for stiff systems

Journal of Computational Physics

Block incremental unknowns for anisotropic elliptic equations

Applied Numerical Mathematics

Postprocessing Fourier spectral methods: the case of smooth solutions

Applied Numerical Mathematics

Stability of Galerkin and inertial algorithms with variable time step size

Journal of Computational and Applied Mathematics

A holistic finite difference approach models linear dynamics consistently

Mathematics of Computation

Time Explicit Schemes and Spatial Finite Differences Splittings

Journal of Scientific Computing

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

Journal of Computational Physics

A Dynamical Multi-level Scheme for the Burgers Equation: Wavelet and Hierarchical Finite Element

Journal of Scientific Computing

Model reduction for real-time fluids

ACM SIGGRAPH 2006 Papers

A linear discrete scheme for the Ginzburg-Landau equation

International Journal of Computer Mathematics

Implementation of a modified Marder-Weitzner method for solving nonlinear eigenvalue problems

Journal of Computational and Applied Mathematics

Modular bases for fluid dynamics

ACM SIGGRAPH 2009 papers

A postprocessing mixed finite element method for the Navier-Stokes equations

International Journal of Computational Fluid Dynamics

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

Applied Numerical Mathematics

Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling

SIAM Journal on Numerical Analysis

A new parallel finite element algorithm for the stationary Navier-Stokes equations

Finite Elements in Analysis and Design

Strong and weak constraint variational assimilations for reduced order fluid flow modeling

Journal of Computational Physics

Closed-loop fluid flow control using a low dimensional model

Mathematical and Computer Modelling: An International Journal

Convergence of a characteristic-Galerkin scheme for a shallow water problem

Mathematical and Computer Modelling: An International Journal

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

Journal of Scientific Computing

A two-level method in time and space for solving the Navier-Stokes equations based on Newton iteration

Computers & Mathematics with Applications