Create your own video slideshow at animoto.com.
CHAPTER 5. Iterative methods for solving Systems of Linear Equations
In the following document you are going to find some criteria to make a serious analysis of a numerical method e.g. convergence, consistency and stability. Short and simple definitions for these criteria are:
Convergence: a numerical model is convergent when it reaches an stable value which is close to the real answer.
Consistency: it depends on the truncation error. Et: f(dx,dy,dz,dt,..), so when each delta approaches zero (0) then Et approaches zero too, making consistent the numerical model.
Stability: a model is stable if its answer doesn`t fluctuate (oscillate) with the time.
Besides the usual iterative methods, you can read the meaning of a diagonally dominant matrix which is necessary to apply any method.
Iterative 1
Bibliography: http://pcmap.unizar.es
Over here you have a presentation with a kind of summary about the iterative methods:
Iterative 2
Bibliography: http://personales.upv.es
Convergence: a numerical model is convergent when it reaches an stable value which is close to the real answer.
Consistency: it depends on the truncation error. Et: f(dx,dy,dz,dt,..), so when each delta approaches zero (0) then Et approaches zero too, making consistent the numerical model.
Stability: a model is stable if its answer doesn`t fluctuate (oscillate) with the time.
Besides the usual iterative methods, you can read the meaning of a diagonally dominant matrix which is necessary to apply any method.
Iterative 1
Bibliography: http://pcmap.unizar.es
Over here you have a presentation with a kind of summary about the iterative methods:
Iterative 2
Bibliography: http://personales.upv.es
0
comentarios
viernes, 16 de julio de 2010
Suscribirse a:
Entradas (Atom)
