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math.NA2024
Asymptotic Analysis of IMEX-RK Methods for ES-BGK Model at Navier-Stokes level
Sebastiano Boscarino, Seung Yeon Cho
Implicit-explicit Runge-Kutta (IMEX-RK) time discretization methods are very popular when solving stiff kinetic equations. In [21], an asymptotic analysis shows that a specific cla…
math.NA2024
Adaptive Time-Step Semi-Implicit One-Step Taylor Scheme for Stiff Ordinary Differential Equations
S. Boscarino, E. Macca
In this study, we propose high-order implicit and semi-implicit schemes for solving ordinary differential equations (ODEs) based on Taylor series expansion. These methods are desig…