MTIEU1 swMATH ID: 1232 Software Authors: Shirts, Randall B. Description: Algorithm 721: MTIEU1 and MTIEU2: Two subroutines to compute eigenvalues and solutions to Mathieu’s differential equation for noninteger and integer order Two FORTRAN routines are described which calculate eigenvalues and eigenfunctions of Mathieu’s differential equation for noninteger as well as integer order, MTIEU1 uses standard matrix techniques with dimension parameterized to give accuracy in the eigenvalue of one part in 10 12 . MTIEU2 uses continued fraction techniques and is optimized to give accuracy in the eigenvalue of one part in 10 14 . The limitations of the algorithms are also discussed and illustrated Homepage: http://www.netlib.org/toms/721 Related Software: Algorithm 861; Mathematica; IMSL Numerical Libraries; Algorithm 934; Algorithm 644; Algorithm 855 Cited in: 11 Publications all top 5 Cited by 14 Authors 3 Erricolo, Danilo 2 Shirts, Randall B. 1 Abramov, Aleksandr Aleksandrovich 1 Alhargan, Fayez A. 1 Aunola, Matias 1 Carluccio, Giuseppe 1 Gupta, Sumeet 1 Kokkorakis, Gerassimos C. 1 Kurochkin, Sergey Vladimirovich 1 Kurtcuoglu, Vartan 1 Poulikakos, Dimos 1 Roumeliotis, John A. 1 Uslenghi, Piergiorgio L. E. 1 Volkmer, Hans all top 5 Cited in 7 Serials 4 ACM Transactions on Mathematical Software 2 Mathematics of Computation 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Constructive Approximation 1 SIAM Review 1 Physics of Fluids all top 5 Cited in 7 Fields 7 Special functions (33-XX) 5 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year