Title : 
An effective numerical scheme for parabolic partial differential equations
         
        
            Author : 
Miginsky, Sergey
         
        
            Author_Institution : 
Korea Atomic Energy Res. Inst., Daejeon, South Korea
         
        
        
            fDate : 
June 30 2014-July 4 2014
         
        
        
        
            Abstract : 
An effective scheme for parabolic equations is proposed and investigated. It is based on the second order Rosenbrock scheme for the independent coordinate with a special procedure of matrix pseudoinversion and a three node one with a Numerov´s corrector for the Laplacian.
         
        
            Keywords : 
Laplace equations; numerical analysis; parabolic equations; partial differential equations; Numerovs corrector; digital Laplacian; effective numerical scheme; independent coordinate; matrix pseudoinversion special procedure; parabolic partial differential equation; second order Rosenbrock scheme; Approximation methods; Equations; Laplace equations; Matrix decomposition; Partial differential equations; Vectors;
         
        
        
        
            Conference_Titel : 
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
         
        
            Conference_Location : 
St. Petersburg
         
        
            Print_ISBN : 
978-1-4799-5319-6
         
        
        
            DOI : 
10.1109/BDO.2014.6890054