High-order multi-implicit spectral deferred correction methods for problems of reactive flow

By Anne Bourlioux, Anita T. Layton, Michael L. Minion. 2003

149 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9d46d030e54220fad12c3a95c36621e9ccd533ee

How researchers see this paper

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In Computational Mechanics

1. Randall J. LeVeque
2. Michael L. Minion
3. Anita T. Layton
4. Stéphane Popinet
5. Charles S. Peskin
6. Boyce E. Griffith
7. Benjamin W. Ong
8. Andrew J. Christlieb

In Numerical Analysis

1. Randall J. LeVeque
2. Anita T. Layton
3. Michael L. Minion
4. Benjamin W. Ong
5. Andrew J. Christlieb
6. Chi-Wang Shu
7. Yan Xu
8. Nicholas Geneva

Citations in the corpus

• Semi-implicit spectral deferred correction methods for ordinary differential equations (2003, background): “(See [ 6 ] for a further discussion of this theme.)”
• Fourth-Order Time-Stepping for Stiff PDEs (2005, unknown): “Noteworthy schemes that we ignore are the exponential Runge–Kutta schemes [26] and deferred correction [37] or semi-implicit deferred correction [6, 45].”
• Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations (2005, methodology): “Thus, an argument may be made for choosing uniform points instead of the non-uniform Gauss points used in previous studies [ 5 , 10, 23] when it is more convenient.”
• Finite difference methods for ordinary and partial differential equations - steady-state and time-dependent problems (2007, methodology): “Application to advection-diffusion-reaction equations in the context of fractional step methods was investigated in [9].”