Deferred correction is a well-established method for incrementally increasing the order of
accuracy of a numerical solution to a set of ordinary differential equations. Because …

We present an arbitrarily high-order, conditionally stable, partitioned spectral deferred
correction (SDC) method for solving multiphysics problems using a sequence of pre-existing …

In this work, we present a novel class of high-order time integrators for the numerical
solution of ordinary differential equations. These integrators are of the two-derivative type, ie …

Modeling the time-dependent transient behavior of nuclear reactors with high-fidelity pin-
resolved detail has increased importance when the operating power of the reactor is …

This paper introduces a new class of exponential integrators based on spectral deferred
correction. These new methods are simple to implement at any order of accuracy and can be …

Spectral deferred corrections (SDC) are a class of iterative methods for the numerical
solution of ordinary differential equations. SDC can be interpreted as a Picard iteration to …

This paper presents a high-precision numerical method based on spectral deferred
correction (SDC) for solving the time-fractional Allen-Cahn equation. In the temporal …

We propose high-order computational schemes for solving nonlinear fractional integro-
differential equations (FIDEs) that are commonly used to model systems with memory or …

Speeding up computationally expensive problems, such as numerical simulations of large
micromagnetic systems, requires efficient use of parallel computing infrastructures. While …

Abstract Spectral Deferred Correction (SDC) is an iterative method for the numerical solution
of ordinary differential equations. It works by refining the numerical solution for an initial …