Generalized integrating factor methods for stiff PDEs

By Stein Krogstad. 2005

273 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3dfe26fc7cfda17ff8aa93159b5f21066bdeced2

How researchers see this paper

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

In Computational Mechanics

1. Alexander Ostermann
2. Marlis Hochbruck
3. Will M. Wright
4. Bård Skaflestad
5. Mechthild Thalhammer
6. Brynjulf Owren
7. Håvard Berland
8. Vu Thai Luan

In Electrical and Electronic Engineering

1. Alexander Ostermann
2. Brynjulf Owren
3. Marlis Hochbruck
4. Bård Skaflestad
5. Mechthild Thalhammer
6. Will M. Wright
7. Håvard Berland
8. Vu Thai Luan

In Numerical Analysis

1. Bård Skaflestad
2. Brynjulf Owren
3. Håvard Berland
4. Alexander Ostermann
5. Marlis Hochbruck
6. Will M. Wright
7. Mechthild Thalhammer
8. Vu Thai Luan

Citations in the corpus

• Exponential integrators (2010, unknown): “The method by Krogstad (2005) is given by 0 1 2 1 2φ1,2 1 2 1 2φ1,3 − φ2,3 φ2,3 1 φ1,4 − 2φ2,4 0 2φ2,4 φ1 − 3φ2 + 4φ3 2φ2 − 4φ3 2φ2 − 4φ3 −φ2 + 4φ3 .”
• A Class of Explicit Exponential General Linear Methods (2006, methodology): “In this paper, we study a class of explicit exponential general linear methods that in particular contains the exponential Runge–Kutta methods and the exponential Adams-type methods considered recently in the literature, see [3, 6, 11, 12, 13] and further [5].”
• Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems (2005, methodology): “Motivated by recent interest in exponential integrators for stiff problems [3, 9, 11, 12] and inspired by the promising numerical experiments reported in these papers, we present error bounds for a class of explicit exponential Runge-Kutta methods for semilinear parabolic problems u′(t) +Au(t) =…”
• Solving the nonlinear Schrodinger equation using exponential integrators (2006, background): “Recent reports on exponential integrators show that especially for parabolic semi-linear problems, the ETD type of exponential integrators outperform integrators of Lawson type Krogstad (2005), Minchev & Wright (2005), Ostermann et al. (2005).”
• Exponential Runge--Kutta methods for parabolic problems (2005, methodology): “However, it is also possible to construct explicit schemes as in [3] [11].”
• TAYLOR EXPANSIONS OF SOLUTIONS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE (2010, unknown): “, [3-5, 16-19, 27, 30, 31, 36] ).”