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Abel proved that equations of the fifth order cannot generally be solved.
We show formally that it maintains the fifth order accuracy.
In general, the spatial accuracy is better than fifth order.
The result is a uniformly accurate fifth order method.
Schemes up to fifth order of accuracy in space and time are implemented and tested.
This probe size is mainly limited by diffraction and by the fifth order spherical aberration.
Similar(32)
Dashed line: fifth-order approximation.
e Fifth-order modal shapes of catenary.
Dynamic grid refinement and coarsening are also fifth-order accurate.
Example 1 Consider the fifth-order delay differential equation.
A novel fifth-order scheme SDIRK[5,1](5)L_02 is derived with a significantly lower relative error norm than the comparable fifth-order A-stable reference method.
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