当前位置: X-MOL 学术Appl. Numer. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An asymptotic preserving semi-implicit multiderivative solver
Applied Numerical Mathematics ( IF 2.2 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.apnum.2020.09.004
Jochen Schütz , David C. Seal

In this work we construct a multiderivative implicit-explicit (IMEX) scheme for a class of stiff ordinary differential equations. Our solver is high-order accurate and has an asymptotic preserving (AP) property. The proposed method is based upon a two-derivative backward Taylor series base solver, which we show has an AP property. Higher order accuracies are found by iterating the result over a high-order multiderivative interpolant of the right hand side function, which we again prove has an AP property. Theoretical results showcasing the asymptotic consistency as well as the high-order accuracy of the solver are presented. In addition, an extension of the solver to an arbitrarily split right hand side function is also offered. Numerical results for a collection of standard test cases from the literature are presented that support the theoretical findings of the paper.

中文翻译:

渐近保持半隐式多导数求解器

在这项工作中,我们为一类刚性常微分方程构建了一个多导隐式显式 (IMEX) 方案。我们的求解器是高阶准确的,并且具有渐近保持 (AP) 属性。所提出的方法基于二阶逆向泰勒级数基求解器,我们展示了它具有 AP 属性。通过在右侧函数的高阶多导数插值上迭代结果,可以找到更高阶的精度,我们再次证明它具有 AP 属性。理论结果显示了渐近一致性以及求解器的高阶精度。此外,还提供了对任意拆分右侧功能的求解器的扩展。
更新日期:2021-02-01
down
wechat
bug