Titlebook: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014; Selected papers from Robert M. Kirby,Martin Berzins,Jan S

flaggy

nugatory

外面

High-Order Adaptive Galerkin Methods analysis of convergence and optimality properties reveals a sparsity degradation for Gevrey classes. We next turn our attention to the .-version of the finite element method, design an adaptive scheme which hinges on a recent algorithm by P. Binev for adaptive .-approximation, and discuss its optimality properties.

coddle

Computational Comparison of Continuous and Discontinuous Galerkin Time-Stepping Methods for Nonlineaistence results for the continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems, 2014, Submitted), and provide a numerical comparison of the two time discretization methods.

潜伏期

Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurementsf splines or (piecewise) polynomials. We analyze the relation between the dimension of the reconstruction space and the bandwidth of the nonuniform samples, and show that it is linear for splines and piecewise polynomials of fixed degree, and quadratic for piecewise polynomials of varying degree.

confederacy

NAVEN

内向者

Moderate

High-Order Upwind Methods for Wave Equations on Curvilinear and Overlapping Gridsds are used to represent geometric complexity. The method of manufactured solutions is used to demonstrate that the dissipation introduced through upwinding is sufficient to stabilize the wave equation in the presence of overlapping grid interpolation.

Mammal

Generalized Summation by Parts Operators: Second Derivative and Time-Marching Methodsn GSBP operators can be more efficient than those based on classical SBP operators, as they minimize the number of solution points which must be solved simultaneously. Furthermore, we demonstrate the link between GSBP operators and Runge-Kutta time-marching methods.