1 citations · 1 across the 2 of their papers we have counts for
6 papers
Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In our previous work [29], we proposed a class of high-order asymptotic preserving (AP) finite difference weighted essentially non-oscillatory (WENO) schemes for solving the shallo…
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…
A quantitative comparison of high-order asymptotic-preserving and asymptotically-accurate IMEX methods for the Euler equations with non-ideal gases
Giuseppe Orlando, Sebastiano Boscarino, Giovanni Russo
We present a quantitative comparison between two different Implicit-Explicit Runge-Kutta (IMEX-RK) approaches for the Euler equations of gas dynamics, specifically tailored for the…
A conservative semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo +1
In this paper, we propose a high order conservative semi-Lagrangian scheme (SL) for the ellipsoidal BGK model of the Boltzmann transport equation. To avoid the time step restrictio…
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…
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…