Strong Stability Preserving Second Derivative General Linear Methods with Runge–Kutta Stability

2020 ◽  
Vol 85 (1) ◽  
Author(s):  
Afsaneh Moradi ◽  
Ali Abdi ◽  
Javad Farzi
Keyword(s):  
Strong Stability ◽  
General Linear Methods ◽  
General Linear ◽  
Second Derivative ◽  
Strong Stability Preserving ◽  
Runge Kutta

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.

Second derivative general linear methods with inherent Runge–Kutta stability

2016 ◽  
Vol 73 (2) ◽  
pp. 371-389 ◽  
Author(s):  
A. Movahedinejad ◽  
G. Hojjati ◽  
A. Abdi
Keyword(s):  
General Linear Methods ◽  
General Linear ◽  
Second Derivative ◽  
Runge Kutta
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