nonuniformly distributed nodes
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MULTISTEP DEGENERATE MATRIX METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS

2001 ◽  
Vol 6 (1) ◽  
pp. 58-67
Author(s):  
T. Cirulis ◽  
D. Cirule ◽  
O. Lietuvietis
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Complex Plane ◽  
Matrix Method ◽  
Stability Function ◽  
The Stability ◽  
Nonuniformly Distributed Nodes ◽  
Degenerate Matrix ◽  
Residue Theory

Two of the simplest general schemes of the degenerate matrix method in the multistep mode are considered. The stability function for these methods is computed by the residue theory in the complex plane. Performances of uniformly and nonuniformly distributed nodes in the standardized interval are compared.

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