An algorithm for solving the pulsar equation
<|reference_start|>An algorithm for solving the pulsar equation: We present an algorithm of finding numerical solutions of pulsar equation. The problem of finding the solutions was reduced to finding expansion coefficients of the source term of the equation in a base of orthogo- nal functions defined on the unit interval by minimizing a multi-variable mismatch function defined on the light cylinder. We applied the algorithm to Scharlemann & Wagoner boundary conditions by which a smooth solu- tion is reconstructed that by construction passes success- fully the Gruzinov's test of the source function exponent.<|reference_end|>
@article{bratek2006an,
    title={An algorithm for solving the pulsar equation},
    author={Lukasz Bratek, Marcin Kolonko},
    journal={Astrophys.SpaceSci.309:231-234,2007},
    year={2006},
    doi={10.1007/s10509-007-9406-y},
    archivePrefix={arXiv},
    eprint={astro-ph/0605514},
    primaryClass={astro-ph cs.NA}
}