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The method is also extended to treat the reflection wall boundary in the Euler system. As an attempt to treat the interactions of discontinuities by enforcing the conservation properties without solving two-dimensional Riemann problems, three special cases of treatment of discontinuity interactions in scalar conservation law and in the Euler system of gas dynamics are studied. Finally, numerical experiments are implemented in both scalar and system cases to show the efficiency of the method.<\/jats:p>","DOI":"10.1137\/s1064827597310609","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"113-151","source":"Crossref","is-referenced-by-count":10,"title":["Toward Front Tracking Based on Conservation in Two Space Dimensions"],"prefix":"10.1137","volume":"22","author":[{"given":"Mao","family":"De-kang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(86)90101-4"},{"key":"R2","unstructured":"I.\u2010L. Chern and P. 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