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1	Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method Bilyeu, David Lawrence 05 September 2008 (has links) No description available. Combustion Finite-rate chemistry shock tunel CESE method Stiff ODE
2	Three-and four-derivative Hermite-Birkhoff-Obrechkoff solvers for stiff ODE Albishi, Njwd January 2016 (has links) Three- and four-derivative k-step Hermite-Birkhoff-Obrechkoff (HBO) methods are constructed for solving stiff systems of first-order differential equations of the form y'= f(t,y), y(t0) = y0. These methods use higher derivatives of the solution y as in Obrechkoff methods. We compute their regions of absolute stability and show the three- and four-derivative HBO are A( 𝜶)-stable with 𝜶 > 71 ° and 𝜶 > 78 ° respectively. We conduct numerical tests and show that our new methods are more efficient than several existing well-known methods. general linear method for stiff ODE's Hermite-Birkhoff-Obrechkoff method maximum end error number of function evaluations CPU time comparing stiff ODE solvers.