A new iterative method, the WaveHoltz iteration, for solution of the Helmholtz equation is
presented. WaveHoltz is a fixed point iteration that filters the solution to the solution of a …

We introduce and analyze a new mixed variational formulation for a stationary
magnetohydrodynamic flows in porous media problem, whose governing equations are …

We extend and analyze the energy-based discontinuous Galerkin method for second order
wave equations on staggered and structured meshes. By combining spatial staggering with …

A numerical search approach is used to design high-order diagonally implicit Runge-Kutta
(DIRK) time step** schemes equipped with embedded error estimators, some of which …

In practical computation with Runge--Kutta methods, the stage equations are not satisfied
exactly, due to roundoff errors, algebraic solver errors, and so forth. We show by example …

In this work, we study the stability regions of linear multistep or multiderivative multistep
methods for initial value problems by using techniques that are straightforward to implement …

A common way to define a norm of a matrix is to take the supremum of the fraction of the
vector norms of the matrix-vector product and the nonzero vector, with respect to a given …

In practical computation with Runge–Kutta methods, the stage equations are not satisfied
exactly, due to roundoff errors, algebraic solver errors, and so forth. We show by example …

Symmetric Friedrichs systems constitute a large class of linear hyperbolic systems that
englobe most of mathematical models for linear wave propagation phenomena: acoustics …