Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has existed a question of whether DG methods can be made more computationally efficient tha...
Sergey Yakovlev, David Moxey, Robert M. Kirby, Spe...
Abstract To integrate large systems of locally coupled ordinary differential equations (ODEs) with disparate timescales, we present a multirate method with error control that is b...
We propose and test the first Reduced Radial Basis Function Method (R2 BFM) for solving parametric partial differential equations on irregular domains. The two major ingredients ...
Yanlai Chen, Sigal Gottlieb, Alfa R. H. Heryudono,...
In this paper we study linearized backward differential formula (BDF) type schemes with Galerkin finite element approximations for the time-dependent nonlinear thermistor equation...
The formulation min x,y f(x) + g(y), subject to Ax + By = b, where f and g are extended-value convex functions, arises in many application areas such as signal processing, imaging ...
The augmented Lagrangian method (ALM) is a benchmark for solving convex minimization problems with linear constraints. When the objective function of the model under consideration ...
In this paper we present and analyze Chebyshev and Legendre pseudo-spectral methods for the second kind Volterra integral equations with weakly singular kernel