Improved ADI Scheme for Linear Hyperbolic Equations: Extension to Nonlinear Cases and Compact ADI Schemes

2017 ◽  
Vol 72 (2) ◽  
pp. 500-521 ◽  
Author(s):  
Geng Zhang ◽  
Dan Cai ◽  
Yong Du
Keyword(s):  
Hyperbolic Equations ◽  
Adi Schemes ◽  
Adi Scheme ◽  
Linear Hyperbolic Equations

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

scholarly journals On the exponential growth of solutions to non-linear hyperbolic equations

1989 ◽  
Vol 12 (3) ◽  
pp. 539-545 ◽  
Author(s):  
H. Chi ◽  
H. Poorkarimi ◽  
J. Wiener ◽  
S. M. Shah
Keyword(s):  
Exponential Growth ◽  
Hyperbolic Equations ◽  
Uniqueness Theorems ◽  
Continuous Solutions ◽  
Unbounded Region ◽  
Non Linear ◽  
Growth Of Solutions ◽  
Linear Hyperbolic Equations

Existence-uniqueness theorems are proved for continuous solutions of some classes of non-linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.

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