Improved traditional Rosenbrock–Wanner methods for stiff ODEs and DAEs
نویسندگان
چکیده
منابع مشابه
Improved traditional Rosenbrock-Wanner methods for stiff ODEs and DAEs
Rosenbrock–Wanner methods usually have order reduction if they are applied on stiff ordinary differential or differential algebraic equations. Therefore in several papers further order conditions are derived to reduce this effect. In [13] the example of Prothero and Robinson is analysed to find further order conditions. In this paper we consider traditional ROW methods like ROS3P [7], ROS3PL [6...
متن کاملMethods for Parallel Integration of Stiff Systems of ODEs
This paper presents a class of parallel numerical integration methods for stiff systems of ordinary differential equations which can be partitioned into loosely coupled sub-systems. The formulas are called decoupled backward differentiation formulas, and they are derived from the classical formulas by restricting the implicit part to the diagonal sub-system. With one or several sub-systems allo...
متن کاملQuantization–Based New Integration Methods for Stiff ODEs
The paper introduces new classes of numerical ODE solvers that base their internal discretization method on state quantization instead of time slicing. These solvers have been coined Quantized State System (QSS) simulators. The main result of this work is a first order accurate QSS-based stiff system solver called Backward QSS (BQSS). The numerical properties of this new algorithm are being dis...
متن کاملMulti-adaptive Galerkin methods for ODEs V: Stiff problems
We develop the methodology of multi-adaptive time-stepping for stiff problems. The new algorithm is based on adaptively stabilized fixed point iteration on time slabs and a new method for the recursive construction of time slabs. Numerical examples are given for a series of well-known stiff and non-stiff test problems.
متن کاملRecent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs
Imagine that you get such certain awesome experience and knowledge by only reading a book. How can? It seems to be greater when a book can be the best thing to discover. Books now will appear in printed and soft file collection. One of them is this book recent developments in numerical methods and software for odes daes pdes. It is so usual with the printed books. However, many people sometimes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2015
ISSN: 0377-0427
DOI: 10.1016/j.cam.2015.03.010