Numerical Solution of Stiff Burnup Equation with Short Half Lived Nuclides by the Krylov Subspace Method
نویسندگان
چکیده
منابع مشابه
A hybrid method with optimal stability properties for the numerical solution of stiff differential systems
In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superioritie...
متن کاملA Fast Parallel Krylov Subspace Method for the Radiosity Equation
In computer graphics, the radiosity equation plays an important in obtaining realistic illumination. The size of the system generated when solving the radiosity equation can have very large order and consequently, the cost of solving this system can be quite large, both in computing time and memory. In this paper, we investigate the applicability and performance of some Krylov subspace methods ...
متن کاملGalerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines
In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.
متن کاملA block Krylov subspace time-exact solution method for linear ordinary differential equation systems
We propose a time-exact Krylov-subspace-based method for solving linear ordinary differential equation systems of the form y D Ay C g.t/ and y D Ay C g.t/, where y.t/ is the unknown function. The method consists of two stages. The first stage is an accurate piecewise polynomial approximation of the source term g.t/, constructed with the help of the truncated singular value decomposition. The se...
متن کاملNumerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods
We consider numerical solution methods for the incompressible Navier-Stokes equations discretized by a finite volume method on staggered grids in general coordinates. We use Krylov subspace and multigrid methods as well as their combinations. Numerical experiments are carried out on a scalar and a vector computer. Robustness and efficiency of these methods are studied. It appears that good meth...
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 Nuclear Science and Technology
سال: 2007
ISSN: 0022-3131,1881-1248
DOI: 10.1080/18811248.2007.9711268