Level set methods have been widely used in image processing and computer vision. In conventional level set formulations, the level set function typically develops irregularities du...
Chunming Li, Chenyang Xu, Changfeng Gui, Martin D....
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension 2. The core of the ...
- There are many applications dealing with incomplete data sets that take different approaches to making imputations for missing values. Most tackle the problem for numerical input...
We consider the numerical computation of stationary distributions for level dependent quasi-birth-and-death processes. An algorithm based on matrix continued fractions is presente...
The steady state of the quasilinear convection-diffusion-reaction equation ut − (D(u) u) + b(u) u + c(u) = 0 (1) is studied. Depending on the ratio between convection and diff...
abstract mathematical or physical statement, not something specific. The way scientific programmers most frequently verify that their programs are correct is to examine their resul...
This paper revisits the use of the Taylor series method for the numerical integration of ODEs and DAEs. The numerical method is implemented using an efficient variablestep variabl...
The domain of numerical simulation is a place where the parallelization of numerical code is common. The definition of a numerical context means the configuration of resources suc...
This paper presents a new numerical algorithm based on interval analysis able to prove that a differentiable function f : A Rn Rn is injective. This algorithm also performs a par...