High Resolution Schemes for Hyperbolic Conservation
High Resolution Schemes for Hyperbolic Conservation
A Harten
The book High Resolution Schemes for Hyperbolic Conservation was written by author A Harten Here you can read free online of High Resolution Schemes for Hyperbolic Conservation book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is High Resolution Schemes for Hyperbolic Conservation a good or bad book?
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5). We srj^ll discuss consistency with the entix^py condition iii Section 5 . - 20 - (2) Condition (3. 6) is only a necessary condition for second order accuracy. It becanes a sufficient condition if the coefficient in the 0(A ) term in (3. 6) is different iable, except possibly at a firjLte nunnber of points N(t, At), such that NAt -> as At -> for all t. It is clear from (3. 13) and (3. 9) that the troublescine points where the scheme (3. 8) + (3. 11) may degenerate locally to 2 OCa ) truncati...on error are those vjhere s.^, ,„ (3. 11c) is discontinuous, i. E. 2 ^ere Q(v) -v =0 oru^=0. The fact that the scheme is TV14I controls the possible increase of the number of local extremum points in the conputed solution. The schen^. Es that v;e consider in section 5 all have the monotonicity piroperty (see section 2); i. E. The number of local extremum points in the conputed solution is nonincreasing in time, and thus bounded by that of the initial data. (3) The modified equation of the scheme (3.
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