A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature

142 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The Exponentially Convergent Trapezoidal Rule (2014, unknown): “Relevant papers include [56, 81, 180, 181] (parabolic contours), [105, 121, 148, 181] (hyperbolic contours), and [38, 171] (Talbot contours).”
Talbot quadratures and rational approximations (2006, methodology): “which relates to work with hyperbolic contours by L´ opez-Fern´ andez, Lubich, McLean, Palencia, Sch¨ adle, Sheen, Sloan, and Thom´ ee [17, 18, 25, 38 ].”
Time discretization of an evolution equation via Laplace transforms (2004, methodology): “As in [7], [ 8 ], we deform the contour Γ into the left half plane so that the integrand has exponential decay.”
Numerical solution via Laplace transforms of a fractional order evolution equation (2010, methodology): “The methods are combined with finite element discretization in the spatial variables to yield fully discrete methods.”