Abstract. In this paper, a symplectic model reduction technique, proper symplectic decomposition (PSD) with symplectic Galerkin projection, is proposed to save the computational co...
In the search for robust, accurate, and highly efficient financial option valuation techniques, we here present the SWIFT method (Shannon wavelets inverse Fourier technique), base...
We consider L1-TV regularization of univariate signals with values on the real line or on the unit circle. While the real data space leads to a convex optimization problem, the pr...
Abstract. This paper investigates energy-minimization finite-element approaches for the computation of nematic liquid crystal equilibrium configurations. We compare the performan...
James H. Adler, D. B. Emerson, Scott P. MacLachlan...
Magnetohydrodynamic (MHD) representations are used to model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equatio...
James H. Adler, Thomas R. Benson, Eric C. Cyr, Sco...
We introduce a new class of “filtered” schemes for some first order non-linear Hamilton-Jacobi equations. The work follows recent ideas of Froese and Oberman (SIAM J. Numer. ...
We study the rank structures of the matrices in Fourier- and Chebyshev-spectral methods for differential equations with variable coefficients in one dimension. We show analyticall...