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Title: Strong-stability-preserving Hermite - Birkhoff time discretization methods combining k-step methods and explicit s-stage Runge-Kutta methods of order 5
Authors: Nguyễn, Thư Hương
Nguyen, Ba Truong
Keywords: Strong-stability-preserving
Hermite–Birkhoff method
SSP coefficient
Time discretization
Method of lines
Comparison with other SSP methods
Issue Date: 2016
Series/Report no.: European Academic Research;IV .- p.2582-2604
Abstract: New optimal strong-stability-preserving (SSP) Hermite-Birkhoff (HB) methods, HB(k,s,p) of order p = 5,6,...,12 with nonnegative coefficients, are constructed by combining k -step methods of order (p - 4) and s -stage explicit Runge-Kutta methods of order 5 (RK5), where s = 4,5,...,10. These new methods preserve the monotonicity property of the solution, so they are suitable for solving ordinary differential equations (ODEs) coming from spatial discretization of hyperbolic partial differential equations (PDEs). The canonical Shu -
ISSN: 2286-4822
Appears in Collections:Tạp chí quốc tế

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