25 citations · 101 across the 26 of their papers we have counts for
27 papers
Asymptotic-Preserving Exponential Integrators applied to the Hyperbolic Korteweg-de Vries System
Abhijit Biswas, Sebastiano Boscarino, David I. Ketcheson +1
We study the application of exponential time integration methods, coupled with Fourier pseudospectral space discretization, to the hyperbolic Korteweg-de Vries (KdVH) system. We in…
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…
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…
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…
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…
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…
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In this study, we investigate the Shallow Water Equations incorporating source terms accounting for Manning friction and a non-flat bottom topology. Our primary focus is on develop…
Semi-Implicit-type order-adaptive CAT2 schemes for systems of balance laws with relaxed source term
E. Macca, S. Boscarino
In this paper we present two semi-implicit-type second order Compact Approximate Taylor (CAT2) numerical schemes and blend them with a local a posteriori Multi-dimensional Optimal…
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
Irene Gómez-Bueno, Sebastiano Boscarino, Manuel Jesús Castro +2
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two…
A local velocity grid conservative semi-Lagrangian schemes for BGK model
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Most numerical schemes proposed for solving BGK models for rarefied gas dynamics are based on the discrete velocity approximation. Since such approach uses fixed velocity grids, on…
High Order Semi-implicit WENO Schemes for All Mach Full Euler System of Gas Dynamics
Sebastiano Boscarino, Jing-Mei Qiu, Giovanni Russo +1
In this paper, we propose a new high order semi-implicit scheme for the all Mach full Euler equations of gas dynamics. Material waves are treated explicitly, while acoustic waves a…
BGK models for inert mixtures: comparison and applications
Sebastiano Boscarino, Seung Yeon Cho, Maria Groppi +1
Consistent BGK models for inert mixtures are compared, first in their kinetic behavior and then versus the hydrodynamic limits that can be derived in different collision-dominated…
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures
Seung Yeon Cho, Sebastiano Boscarino, Maria Groppi +1
In this work, we propose a class of high order semi-Lagrangian scheme for a general consistent BGK model for inert gas mixtures. The proposed scheme not only fulfills indifferentia…
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we propose and analyse a reconstruction technique which enables one to design high-order conservative semi-Lagrangian schemes for kinetic equations. The proposed rec…
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
Seung Yeon Cho, Sebastiano Boscarino, Giovanni Russo +1
In this paper, we present a new class of conservative semi-Lagrangian schemes for kinetic equations. They are based on the conservative reconstruction technique introduced in [S. Y…
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo +1
In this paper, we propose a new semi-Lagrangian scheme for the polyatomic ellipsoidal BGK model. In order to avoid time step restrictions coming from convection term and small Knud…
High Order Semi-Lagrangian Discontinuous Galerkin Method Coupled with Runge-Kutta Exponential Integrators for Nonlinear Vlasov Dynamics
Xiaofeng Cai, Sebastiano Boscarino, Jing-Mei Qiu
In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The commutator…
High order conservative Semi-Lagrangian scheme for the BGK model of the Boltzmann equation
Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo +1
In this paper, we present a conservative semi-Lagrangian finite-difference scheme for the BGK model. Classical semi-Lagrangian finite difference schemes, coupled with an L-stable t…
On the stability of Approximate Taylor methods for ODE and their relationship with Runge-Kutta schemes
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
In [Baeza et al., Computers and Fluids, 159, 156--166 (2017)] a new method for the numerical solution of ODEs is presented. This methods can be regarded as an approximate formulati…
All Mach Number Second Order Semi-Implicit Scheme for the Euler Equations of Gasdynamics
S. Boscarino, G. Russo, L. Scandurra
This paper presents an asymptotic preserving (AP) all Mach number finite volume shock capturing method for the numerical solution of compressible Euler equations of gas dynamics. B…
Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems
S. Boscarino, J. Qiu, G. Russo
The main goal of this paper is to investigate the order reduction phenomenon that appears in the integral deferred correction (InDC) methods based on implicit-explicit (IMEX) Runge…
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation
S. Boscarino, L. Pareschi, G. Russo
In this paper we consider the development of Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems with multiscale relaxation. In such systems the scaling depends on…
Error Estimates of Integral Deferred Correction Methods for Stiff Problems
Sebastiano Boscarino, Jing-Mei Qiu
In this paper, we present error estimates of the integral deferred correction method constructed with stiffly accurate implicit Runge-Kutta methods with a nonsingular matrix in…