Super-algebraically convergent mathematical model of hollow waveguldes by Analytical Regularization Method

An accurate and efficient simulation of hollow waveguides is in demand for many practical applications including those in the area of microwave engineering. But very many numerical methods produce ill conditioned matrix that getting correct results needs various numerical experiments (see, for example, [1], where the authors mentioned the instability of the method for the matrices of big sizes). Thus, some alternative numerically stable and efficient approach is in demand. Our algorithm based on Analytical Regularization Method [2]–[3], adopted in this paper for spectral problems, brings just such alternative to, at least, the hollow waveguide modeling considered herein.