Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations

2010 ◽  
Vol 87 (13) ◽  
pp. 3030-3038 ◽  
Author(s):  
Samir Karaa
Keyword(s):  
Hyperbolic Equations ◽  
Higher Order ◽  
Unconditionally Stable ◽  
Adi Scheme ◽  
Linear Hyperbolic Equations

Multi-dimensional periodic problems for higher-order linear hyperbolic equations

2019 ◽  
Vol 26 (2) ◽  
pp. 235-256
Author(s):  
Tariel Kiguradze ◽  
Noha Al Jaber
Keyword(s):  
Hyperbolic Equations ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Dimensional Case ◽  
Well Posedness ◽  
Two Dimensional ◽  
Order Linear ◽  
Periodic Problems ◽  
Necessary And Sufficient ◽  
Linear Hyperbolic Equations

Abstract For higher-order linear hyperbolic equations the problem on periodic solutions is investigated. The concepts of associated problems, and α-well-posedness are introduced. Necessary and sufficient conditions of well-posedness in the two-dimensional case, as well as unimprovable sufficient conditions of well-posedness and α-well-posedness in the multi-dimensional case are established.

Fast high order ADER schemes for linear hyperbolic equations

2004 ◽  
Vol 197 (2) ◽  
pp. 532-539 ◽  
Author(s):  
Thomas Schwartzkopff ◽  
Michael Dumbser ◽  
Claus-Dieter Munz
Keyword(s):  
Hyperbolic Equations ◽  
High Order ◽  
Linear Hyperbolic Equations
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