This thesis considers computer methods for solving singularly perturbed differential equations. Standard algorithms are very inefficient when applied to these problems, although the exact reasons for this have not been well-understood. This thesis provides a new understanding for this phenomenon, and applies that understanding to designing new, highly efficient algorithms
Partial differential equations are commonly used in industry and science to model observed phenomena...
AbstractA new way to solve singular perturbation problems is introduced. It is designed for the prac...
Applying a finite difference approximation to a biharmonic equation results in a very ill-conditione...
We consider the problem of solving linear systems of equations that arise in the numerical solution ...
Abstract. We consider the problem of solving linear systems of equations that arise in the numerical...
The rapid improvement in computational power available due to faster chips and parallel processing i...
We consider the problem of solving linear systems of equations that arise in the numerical solution ...
Critical comments on the complexity of computational systems and the basic singularly perturbed (SP)...
The rapid improvement ' in computational power available due to faster chips and parallel processing...
The computational solution of problems can be restricted by the availability of solution methods for...
Differential equations can be divided into those that can be solved and those that cannot. The first...
The computational solution of problems can be restricted by the availability of solution methods for...
Differential equations can be divided into those that can be solved and those that cannot. The first...
ReportWe consider the problem of solving linear systems of equations that arise in the numerical sol...
This paper contains a surprisingly large amount of material and indeed can serve as an introduction ...
Partial differential equations are commonly used in industry and science to model observed phenomena...
AbstractA new way to solve singular perturbation problems is introduced. It is designed for the prac...
Applying a finite difference approximation to a biharmonic equation results in a very ill-conditione...
We consider the problem of solving linear systems of equations that arise in the numerical solution ...
Abstract. We consider the problem of solving linear systems of equations that arise in the numerical...
The rapid improvement in computational power available due to faster chips and parallel processing i...
We consider the problem of solving linear systems of equations that arise in the numerical solution ...
Critical comments on the complexity of computational systems and the basic singularly perturbed (SP)...
The rapid improvement ' in computational power available due to faster chips and parallel processing...
The computational solution of problems can be restricted by the availability of solution methods for...
Differential equations can be divided into those that can be solved and those that cannot. The first...
The computational solution of problems can be restricted by the availability of solution methods for...
Differential equations can be divided into those that can be solved and those that cannot. The first...
ReportWe consider the problem of solving linear systems of equations that arise in the numerical sol...
This paper contains a surprisingly large amount of material and indeed can serve as an introduction ...
Partial differential equations are commonly used in industry and science to model observed phenomena...
AbstractA new way to solve singular perturbation problems is introduced. It is designed for the prac...
Applying a finite difference approximation to a biharmonic equation results in a very ill-conditione...