Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0267-9
Abstract: We analyze monotonicity, strong stability and positivity of the TR-BDF2 method, interpreting these properties in the framework of absolute monotonicity. The radius of absolute monotonicity is computed and it is shown that the parameter value… read more here.
Keywords: monotonicity; bdf2 method; unconditionally strong; stability ... See more keywords
A BDF2 method for a singularly perturbed transport equation
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2024.2351132
Abstract: A singularly perturbed transport equation is considered. A variable two-step backward differentiation formulas (BDF2) on a Shishkin-type mesh is used to discrete the first-order derivatives of the singularly perturbed transport equation. The stability and error… read more here.
Keywords: singularly perturbed; bdf2 method; transport equation; method singularly ... See more keywords