A new class of strong stability preserving general linear methods

2021 ◽  
pp. 113612
Author(s):  
Michal Braś ◽  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Strong Stability Preserving ◽  
New Class

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.

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
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