Strong Stability Preserving General Linear Methods with Runge–Kutta Stability

2018 ◽  
Vol 76 (2) ◽  
pp. 943-968 ◽  
Author(s):  
Giovanna Califano ◽  
Giuseppe Izzo ◽  
Zdzisław Jackiewicz
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Strong Stability Preserving ◽  
Runge Kutta

scholarly journals STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS

2015 ◽  
Vol 20 (5) ◽  
pp. 552-577 ◽  
Author(s):  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Strong Stability Preserving ◽  
Order Of Accuracy ◽  
Integration Methods ◽  
Numerical Tests ◽  
Stage Order

In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q ≤ p. Characterization of this class of SSP GLMs is given and examples of SSP methods of order p ≤ 4 and stage order q = 1, 2, . . . , p are provided. Numerical tests are reported which confirm that the constructed methods achieve the expected order of accuracy and preserve monotonicity.

Optimal Explicit Strong-Stability-Preserving General Linear Methods

2010 ◽  
Vol 32 (5) ◽  
pp. 3130-3150 ◽  
Author(s):  
Emil M. Constantinescu ◽  
Adrian Sandu
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Strong Stability Preserving

Strong Stability Preserving General Linear Methods

2014 ◽  
Vol 65 (1) ◽  
pp. 271-298 ◽  
Author(s):  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Strong Stability Preserving
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