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IMEX Extensions of Linear Multistep Methods with General Monotonicity and Boundedness Properties.

机译：具有一般单调性和有界性的线性多步法的ImEX扩张。

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摘要

For solving hyperbolic systems with stiff sources or relaxation terms, time stepping methods should combine favorable monotonicity properties for shocks and steep solution gradients with good stability properties for stiff terms. In this paper we consider implicit-explicit (IMEX) multistep methods. Suitable methods will be constructed, based on explicit methods with general monotonicity and boundedness properties for hyperbolic equations. Numerical comparisons are made with several implicit-explicit Runge-Kutta methods.

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Hundsdorfer, W.; Ruuth, S. J.;
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年度 2006
页码 1-34
总页数 34
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关键词
Hyperbolic functions; Monotonicity; Boundedness; TVD; Runge-Kutta methods; TVB; Stability; IMEX(Implicit-explicit) multistep methods; Implicit-explicit multistep methods; Time stepping;

机译：双曲函数;单调性;有界性; TVD; Runge-Kutta方法; TVB;稳定性; ImEX（隐式显式）多步方法;隐式显式多步方法;时间步进;

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专利

1. Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods [J] . Mozartova A., Savostianov I., Hundsdorfer W. Journal of Computational and Applied Mathematics . 2015,第Null期

机译：单腿法和线性多步法的有界性和单调性的比较
2. On monotonicity and boundedness properties of linear multistep methods [J] . Hundsdorfer W, Ruuth SJ Mathematics of computation . 2006,第254期

机译：线性多步法的单调性和有界性
3. Stepsize Restrictions for Boundedness and Monotonicity of Multistep Methods [J] . W. Hundsdorfer, A. Mozartova, M.N. Spijker Journal of Scientific Computing . 2012,第2期

机译：多步方法的有界性和单调性的步长限制
4. Optimal hop-by-hop flow control policies in computer networks with multiple transmitters: convexity and monotonicity properties. I. linear and equal holding costs [C] . Bournas, R.M., Beutler, . 1990

机译：具有多个发送器的计算机网络中的最佳逐跳流量控制策略：凸性和单调性。 I.线性和相等的持有成本
5. Variable step-size implicit-explicit linear multistep methods for time-dependent PDEs. [D] . Wang, Dong. 2005

机译：随时间变化的PDE的可变步长隐式-显式线性多步方法。
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

机译：Banach空间中非线性方程解的单调性方法
7. Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods [O] . Mozartova, A., Savostianov, I., Hundsdorfer, W. 2015

机译：单腿法和线性多步法的有界性和单调性的比较
8. On the Uniform Boundedness of a Family of Matrices and the Applications to One-Leg and Linear Multistep Methods [R] . Dahlquist, G., Mingyou, H., Leveque, R. 1981

机译：关于一族矩阵的一致有界性及其在单腿和线性多步法中的应用

IMEX Extensions of Linear Multistep Methods with General Monotonicity and Boundedness Properties.

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