Theory and Modern Applications
Table 2 Errors and orders in space for the classical Zakharov system
E(x,t) | M | N | \(\| E-E_{M}\| _{\infty} \) | Order | \(\| E-E_{M}\| _{2} \) | Order |
|---|---|---|---|---|---|---|
16 | 4096 | 7.5463e−02 | 3.1923e−01 | |||
32 | 4096 | 2.0507e−02 | 1.8796 | 6.6572e−02 | 2.2616 | |
64 | 4096 | 6.9476e−04 | 4.8835 | 2.3191e−03 | 4.8433 | |
128 | 4096 | 1.4839e−07 | 12.193 | 5.7162e−07 | 11.986 |
N(x,t) | M | N | \(\| N-N_{M}\| _{\infty} \) | Order | \(\| N-N_{M}\| _{2} \) | Order |
|---|---|---|---|---|---|---|
16 | 4096 | 3.7073e−03 | 1.1998e−02 | |||
32 | 4096 | 1.4899e−03 | 1.3152 | 3.4423e−03 | 1.8014 | |
64 | 4096 | 1.1068e−04 | 3.7507 | 2.2889e−04 | 3.9106 | |
128 | 4096 | 1.8260e−07 | 9.2435 | 3.9745e−07 | 9.1697 |