Towards accurate artificial boundary conditions for nonlinear PDEs through examples
-
Xavier Antoine
Xavier.Antoine@iecn.u-nancy.fr
-
Christophe Besse
Christophe.Besse@math.univ-lille1.fr
-
Jérémie Szeftel
jszeftel@math.princeton.edu
Downloads
Abstract
The aim of this paper is to give a comprehensive review of current developments related to the derivation of artificial boundary conditions for nonlinear partial differential equations. The essential tools to build such boundary conditions are based on pseudodifferential and paradifferential calculus. We present various derivations and compare them. Some numerical results illustrate their respective accuracy and analyze the potential of each technique.
Keywords
Similar Articles
- Georgi Vodev, Semi-Classical Propagation of Singularities on Riemannian Manifolds without Boundary and Applications , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Mohamed Bouaouid, Ahmed Kajouni, Khalid Hilal, Said Melliani, A class of nonlocal impulsive differential equations with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Miklos N. Szilagyi, N-Person Prisoners' Dilemmas , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Vadim N. Biktashev, Envelope equations for modulated non-conservative waves , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- E. A. Grove, G. Ladas, Periodicity in Nonlinear Difference Equations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Manuel Pinto, Nonlinear Impulsive Differential Systems , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Daniel J. Curtin, The Solution of the Cubic Equation: Renaissance Genius and Strife , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Mohd Danish Siddiqi, Mehmet Akif Akyol, Anti-invariant \({\xi^{\bot}}\)-Riemannian submersions from hyperbolic \(\beta\)-Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Anjali Goswami, Special recurrent transformation in an NPR-Finsler space , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Ram U. Verma, Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
<< < 14 15 16 17 18 19 20 21 22 23 24 25 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-09-01
How to Cite
[1]
X. Antoine, C. Besse, and J. Szeftel, “Towards accurate artificial boundary conditions for nonlinear PDEs through examples”, CUBO, vol. 11, no. 4, pp. 29–48, Sep. 2009.
Issue
Section
Articles
