✦ LIBER ✦

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

✍ Scribed by Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe

Book ID: 118189482
Publisher: Society for Industrial and Applied Mathematics
Year: 2000
Tongue: English
Weight: 268 KB
Volume: 38
Category: Article
ISSN: 0036-1429
DOI: 10.1137/s0036142998347978

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Diffusive Relaxation Schemes for Multisc

Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations

✍ Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 📂 Article 📅 1998 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 978 KB

Uniformly accurate schemes for relaxatio

Uniformly accurate schemes for relaxation approximations to fluid dynamic equations

✍ A. Klar; L. Pareschi; M. Seaid 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 297 KB

Discretization of the Multiscale Semicon

Discretization of the Multiscale Semiconductor Boltzmann Equation by Diffusive Relaxation Schemes

✍ Shi Jin; Lorenzo Pareschi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 144 KB

In this paper we derive diffusive relaxation schemes for the linear semiconductor Boltzmann equation that work in both the kinetic and diffusive regimes. Similar to our earlier approach for multiscale transport equations, we use the even-and oddparity formulation of the kinetic equation, and then re

A relaxation approximation for transport

A relaxation approximation for transport equations in the diffusive limit

✍ P. Degond; A. Klar 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 268 KB

stable relaxation approximation for a transport equation with the diffusive scaling is developed. The relaxation approximation leads in the small mean free path limit to the higher-order diffusion equation obtained from the asymptotic analysis of the transport equation.

An accurate integral-based scheme for ad

An accurate integral-based scheme for advection-diffusion equation

✍ Tsai, Tung-Lin ;Yang, Jinn-Chuang ;Huang, Liang-Hsiung 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 195 KB

## Abstract This paper proposes an accurate integral‐based scheme for solving the advection–diffusion equation. In the proposed scheme the advection–diffusion equation is integrated over a computational element using the quadratic polynomial interpolation function. Then elements are connected by th

Simple and Accurate Scheme for Nonlinear

Simple and Accurate Scheme for Nonlinear Convection–Diffusion Equation

✍ A.A Kulikovsky 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 88 KB

A simple nonlinear scheme for iterative solution of nonlinear convection-diffusion equation is described. The scheme is tested by solutions of three nonlinear steadystate model equations and linear nonstationary transport equation. The feature of the scheme is transition from a second-order accuracy