Weakly nonoscillatory schemes for scalar conservation laws Academic Article

abstract

• A new class of Godunov-type numerical methods (called here weakly nonoscillatory or WNO) for solving nonlinear scalar conservation laws in one space dimension is introduced. This new class generalizes the classical nonoscillatory schemes. In particular, it contains modified versions of Min-Mod and UNO. Under certain conditions, convergence and error estimates for WNO methods are proved.

authors

• Popov, Bojan

published proceedings

• MATHEMATICS OF COMPUTATION

author list (cited authors)

• Kopotun, K., Neamtu, M., & Popov, B.

citation count

• 4

complete list of authors

• Kopotun, K||Neamtu, M||Popov, B

publication date

• April 2003

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Mathematics of Computation  Journal

keywords

• Error Estimates
• Godunov-type Schemes
• Relaxed Entropic Projection
• Scalar Conservation Laws
• Weak Nonoscillation

Digital Object Identifier (DOI)

• 10.1090/S0025-5718-03-01524-2

start page

• 1747

end page

• 1767

volume

• 72

issue

• 244