电动力学方程的双四元数解析解和数值解
Biquaternions for analytic and numerical solution of equations of electrodynamics
摘要：
本文综述了近年来用双四元数方法分析电动力学方程的进展。我们讨论了常系数和变系数模型，解的积分表示，基于双四元数基本解的数值方法求解标准电磁散射问题，包括薛定谔，麦克斯韦系统，电导率方程和其他导致更深入地理解物理和数学性质的方程的数学物理的不同运营商之间的关系。
英文摘要：
We give an overview of recent advances in analysis of equations of electrodynamics with the aid of biquaternionic technique. We discuss both models with constant and variable coefficients, integral representations of solutions, a numerical method based on biquaternionic fundamental solutions for solving standard electromagnetic scattering problems, relations between different operators of mathematical physics including the Schrodinger, the Maxwell system, the conductivity equation and others leading to a deeper understanding of physics and mathematical properties of the equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
