Accelerated Convergence of Numerical Solution of Linear and Non-Linear Vector Field Problems | Zendy

S. V. Ahamed | Zendy

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Accelerated Convergence of Numerical Solution of Linear and Non-Linear Vector Field Problems

Author(s) -

S. V. Ahamed

Publication year - 1965

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/8.1.73

Subject(s) - convergence (economics) , successive over relaxation , acceleration , mathematics , relaxation (psychology) , field (mathematics) , computer science , vector field , mathematical optimization , linear acceleration , iterative method , linear system , algorithm , mathematical analysis , local convergence , physics , geometry , classical mechanics , pure mathematics , psychology , social psychology , economics , economic growth

The numerical solutioit of vector field problems on digital computers is a slow process, especially when the characteristics of the regions investigated vary considerably. A method for the acceleration of the convergence of iterative procedures is described and applied to linear and non-linear problems. Physical considerations based on Stokes' theorem are utilized to modify Southwell's relaxation technique.

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