A summary of numerical methods for time-dependent advection-dominated partial differential equations

By R. Ewing, Hong Wang. 2001

209 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f7e1bcc0cac2a301c903f97738cba9b249c1bca2

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. Xiaoming He
2. Yanping Lin
3. Tao Lin
4. Anastasia Bermudez
5. Giovanni Barone-Adesi
6. John Hatgioannides

In Numerical Analysis

1. Anastasia Bermudez
2. Giovanni Barone-Adesi
3. Tao Lin
4. Xiaoming He
5. Yanping Lin
6. John Hatgioannides

Citations in the corpus

• Two-factor convertible bonds valuation using the method of characteristics/finite elements (2003, methodology): “In a PDE framework one has to resort to ’rst order upwind time-di=erencing or to the most recent Eulerian (including Iux limiters) and characteristics techniques as described in Ewing and Wang (2001).”
• A Review of Modeling Bioelectrochemical Systems: Engineering and Statistical Aspects (2016, background): “Thus, PDE can trace the flow dynamics and biomass growth in the angle of high dimensions in BES [39,41,101].”
• Approximation capability of a bilinear immersed finite element space (2008, methodology): “For convection dominant problems, the Eulerian-Lagrangian localized adjoint methods use special test functions designed according to the characteristic lines, see [57, 58] and references therein.”