Event
Andy Wan (捆绑SM社区)
Monday, September 19, 2016 15:00to16:00
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Conservative discretizations and long-term stability
Abstract:
Conservative discretizations are numerical methods which preserve conservation laws of differential equations at the discrete level. Recently, the multiplier method was proposed as a conservative discretization for general ODEs and PDEs. In contrast to symplectic or variational methods, the multiplier method is applicable even for systems without a symplectic or variational structure, such as dissipative problems. In this talk, I will introduce the multiplier method and discuss some recent results on long-term stability of conservative discretizations.聽