Abstract. A numerical method for solving parabolic equations based on multigrid techniques is proposed. The stability, approximation and conservation properties of the method are investigated theoretically and numerically for several initial-boundary model problems for the heat conduction equation. The use of the method makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes. A parallel implementation of the method is presented
Abstract. Advanced time discretization schemes for stiff systems of ordinary differential equa-tions...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
Abstract: Parallel solvers for three-dimensional parabolic equations are required for sca...
Abstract: A new numerical method for the solution of initial-boundary problems for heat t...
We consider the solution of parabolic partial differential equations (PDEs). In standard time-steppi...
Abstract: The research and development of multigrid and explicit-iterative methods for sol...
The thesis commences with a description and classification of partial differential equations and the...
In this work, a space-time multigrid method which uses standard coarsening in both temporal and spat...
9.1 Introduction The finite element method may be used to solve time-dependent problems as well as s...
Advanced time discretization schemes for stiff systems of ordinary differential equations (ODEs), su...
The grid partial analytical solution method is a newly developed unconditionally stable explicit num...
Abstract. In this paper an implicit numerical method designed for nonlinear degenerate parabolic equ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
Abstract. Advanced time discretization schemes for stiff systems of ordinary differential equa-tions...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
Abstract: Parallel solvers for three-dimensional parabolic equations are required for sca...
Abstract: A new numerical method for the solution of initial-boundary problems for heat t...
We consider the solution of parabolic partial differential equations (PDEs). In standard time-steppi...
Abstract: The research and development of multigrid and explicit-iterative methods for sol...
The thesis commences with a description and classification of partial differential equations and the...
In this work, a space-time multigrid method which uses standard coarsening in both temporal and spat...
9.1 Introduction The finite element method may be used to solve time-dependent problems as well as s...
Advanced time discretization schemes for stiff systems of ordinary differential equations (ODEs), su...
The grid partial analytical solution method is a newly developed unconditionally stable explicit num...
Abstract. In this paper an implicit numerical method designed for nonlinear degenerate parabolic equ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
Abstract. Advanced time discretization schemes for stiff systems of ordinary differential equa-tions...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...
In this paper an implicit numerical method designed for nonlinear degenerate parabolic equations is ...