Applied Analysis (Allan M. Krall). - Brian D. Sleeman (SIAM Rev., 1989)

Two Parameter Eigenvalue Problems in Ordinary Differential Equations (M. Faierman). - Brian D. Sleeman (SIAM Rev., 1992)

Inverse Acoustic and Electromagnetic Scattering Theory (D. Colton and R. Kress). - Brian D. Sleeman (SIAM Rev., 1994)

A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks. - Brian D. Sleeman; Howard A. Levine (SIAM J. Appl. Math., 1997)

A Low Frequency Potential Scattering Description of Acoustic Propagation in Dispersions. - Oliver G. Harlen; Melvin J. Holmes; M. J. W. Povey; Y. Qiu; Brian D. Sleeman (SIAM J. Appl. Math., 2001)

Acoustic Propagation in Dispersions and the Geometric Theory of Diffraction. - Brian D. Sleeman; Melvin J. Holmes; M. J. W. Povey; Oliver G. Harlen (SIAM J. Appl. Math., 2003)

Acoustic Propagation in Dispersions in the Long Wavelength Limit. - V. J. Pinfield; Oliver G. Harlen; M. J. W. Povey; Brian D. Sleeman (SIAM J. Appl. Math., 2005)

The Existence and Stability of Spike Patterns in a Chemotaxis Model. - Brian D. Sleeman; Michael Jeffrey Ward; Juncheng Wei (SIAM J. Appl. Math., 2005)

Heun functions. - Brian D. Sleeman; Vadim Kuznetsov (NIST Handbook of Mathematical Functions, 2010)

A perturbation solution for long wavelength thermoacoustic propagation in dispersions. - Oliver G. Harlen; Melvin J. Holmes; V. J. Pinfield; M. J. W. Povey; Brian D. Sleeman (J. Comput. Appl. Math., 2010)

High Frequency Scattering by a Classically Invisible Body. - Evgeny Lakshtanov; Brian D. Sleeman; Boris Vainberg (SIAM J. Appl. Math., 2012)

A generalized Jaeger ℐ(0, 1;t) integral, resulting from mathematical modelling in electroanalytical chemistry. - Leslaw K. Bieniasz; Sean McKee; Brian D. Sleeman (J. Comput. Appl. Math., 2022)