A note on high order schemes for the one dimensional wave equation

1995 ◽  
Vol 35 (3) ◽  
pp. 394-405 ◽  
Author(s):  
Jukka Tuomela

2021 ◽  
Vol 130 (2) ◽  
pp. 025104
Author(s):  
Misael Ruiz-Veloz ◽  
Geminiano Martínez-Ponce ◽  
Rafael I. Fernández-Ayala ◽  
Rigoberto Castro-Beltrán ◽  
Luis Polo-Parada ◽  
...  


Author(s):  
V. I. Korzyuk ◽  
J. V. Rudzko

In this article, we study the classical solution of the mixed problem in a quarter of a plane and a half-plane for a one-dimensional wave equation. On the bottom of the boundary, Cauchy conditions are specified, and the second of them has a discontinuity of the first kind at one point. Smooth boundary condition is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. Uniqueness is proved and conditions are established under which a piecewise-smooth solution exists. The problem with linking conditions is considered.



2020 ◽  
Vol 378 ◽  
pp. 125193 ◽  
Author(s):  
Jervin Zen Lobo ◽  
Y.S. Valaulikar


2019 ◽  
Vol 244 ◽  
pp. 37-56 ◽  
Author(s):  
Peter C. Gibson






2013 ◽  
Vol 30 (6) ◽  
pp. 1097-1126 ◽  
Author(s):  
Yannick Privat ◽  
Emmanuel Trélat ◽  
Enrique Zuazua


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