Semi-implicit spectral deferred correction methods for ordinary differential equations

By Michael L. Minion. 2003

271 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c24e1fa9484976300df3bf1c62d0c45adfa527da

How researchers see this paper

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

In Electrical and Electronic Engineering

1. Chi-Wang Shu
2. Yan Xu
3. Anita T. Layton
4. Benjamin W. Ong
5. Andrew J. Christlieb
6. David I. Ketcheson
7. Sigal Gottlieb
8. Anne Bourlioux

In Numerical Analysis

1. Chi-Wang Shu
2. Yan Xu
3. Benjamin W. Ong
4. Andrew J. Christlieb
5. Anita T. Layton
6. Michael L. Minion
7. Anne Bourlioux
8. Sigal Gottlieb

Citations in the corpus

• Implicit Parallel Time Integrators (2011, methodology): “RIDC methods are a class of time integrators based on integral deferred correction [1, 20, 19, 16, 17, 7, 6, 24, 18, 12].”
• High Order Strong Stability Preserving Time Discretizations (2009, methodology): “The scheme described above with θk = 1 is the one discussed in [17, 65].”
• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations (2009, methodology): “Minion presented the semi-implicit SDC (SISDC) method in [74].”
• High-order multi-implicit spectral deferred correction methods for problems of reactive flow (2003, methodology): “Following the notation in [19], let MISDC(K; P ;ND;NR) denote the MISDC method that uses K total iterations (i.”
• Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations (2005, methodology): “For a more direct comparison with classical defect and deferred correction schemes see [25].”