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
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Fujisaki Masatoshi, Nonlinear semigroup associated with maximizing operator and large deviation , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Alexander A. Kovalevsky, Francesco Nicolosi, On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Gen-Qiang Wang, Sui Sun Cheng, Oscillation of second order differential equation with piecewise constant argument , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Xue Ping Wang, Semi-classical measures and the Helmholtz Equation , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Bruno De Malafosse, Vladimir RakoÄević, Calculations in new sequence spaces and application to statistical convergence , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Brian Weber, Toric, \(U(2)\), and LeBrun metrics , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Khalil Ezzinbi, Valerie Nelson, Gaston N‘Gu´er´ekata, ð¶â½â¿â¾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>
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
