| BOOKS & MONOGRAPHS | First Order Partial Differential Equations, in Handbook on Applied Mathematics, ed. by C.E. Pearson, Van Nostrand, 1974. | |
| Perturbation Methods in Applied Mathematics, (with J.D. Cole), Springer-Verlag, 1981. | ||
| Partial Differential Equations: Analytical Solution Techniques, Wadsworth/Brooks-Cole, 1990, Chapman & Hall, 1993. | ||
| Multiple Scale and Singular Perturbation Methods, (with J.D. Cole), Springer-Verlag, 1996. | ||
| Partial Differential Equations: Analytical Solution Techniques, 2nd Edition, Springer-Verlag, 2000. | ||
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REFEREED ARTICLES |
"Uniformly valid asymptotic representation for all times of the motion of a satellite in the vicinity of the smaller body in the restricted three-body problem," Astron. J., 67, pp. 204-211, 1962. | |
| "Matched conic approximation to the two fixed force-center problem," (with P.A. Lagerstrom), Astron. J., 68, pp. 84-92, 1963. | ||
| "Earth-to-Moon trajectories in the restricted three-body problem," (with P.A. Lagerstrom), J. Mécanique, 2, pp. 189-218, 1963. | ||
| "Comment on satellite motion about an oblate planet," (with J.F. Murphy), AIAA J., 1, pp. 1710-1711, 1963. | ||
| "Earth-to Moon trajectories with minimal energy," (with P.A. Lagerstrom), J. Mécanique, 2, pp. 493-504, 1963. | ||
| "Nonplanar Earth-to Moon trajectories," (with P.A. Lagerstrom), AIAA J., 4, pp. 149-152, 1966. | ||
| "Satellite motion for arbitrary eccentricity and inclination around the smaller primary in the restricted three-body problem," (with M.C. Eckstein and Y.Y. Shi), Astron. J., 71, pp. 248-263, 1966. | ||
| "Use of the energy integral to evaluate higher-order terms in the time-history of satellite motion," (with M.C. Eckstein and Y.Y. Shi), Astron. J., 71, pp. 301-305, 1966. | ||
| "The von Zeipel method and the two-variable expansion procedure," Astron. J., 71, pp. 878-885, 1966. | ||
| "Some limiting cases of the restricted four-body problem," (with L. Mohn), Astron. J., 72, pp. 959-963, 1967. | ||
| "Nonplanar Moon-to-Earth trajectories," (with J.E. Lancaster), AIAA J., 6, pp. 1986-1991, 1968. | ||
| "An asymptotic solution for a class of periodic orbits of the restricted three-body problem," (with J.E. Lancaster), Astron. J., 73, pp. 791-806, 1968. | ||
| "Numerical analysis of the asymptotic solution for Earth-to-Moon trajectories," (with G. Brachet), AIAA J., 7, pp. 885-889, 1969. | ||
| "Passage through resonance for a one-dimensional oscillator with slowly varying frequency," SIAM J. Appl. Math., 20, pp. 364-373, 1971. | ||
| "A perturbation method for hyperbolic equations with small nonlinearities," (with S.C. Chikwendu), SIAM J. Appl. Math., 22, pp. 235-258, 1972. | ||
| "On a model for reentry roll resonance," SIAM J. Appl. Math., 26, pp. 638-669, 1974. | ||
| "Supersonic-transonic flow generated by a thin airfoil in a stratified atmosphere," (with G. Pechuzal), SIAM J. Appl. Math., 33, pp. 8-33, 1977. | ||
| "Propagation of a laser beam in a time-varying waveguide," (with J.M. Chapman), J. Appl. Phys., 49, pp. 4722-4736, 1978. | ||
| "On the problem of sustained resonance," (with L. Lewin), SIAM J. Appl. Math., 35, pp. 738-754, 1978. | ||
| "Resonance in a weakly nonlinear system with slowly varying parameters," Stud. Appl. Math., 62, pp. 23-67, 1980. | ||
| "Adiabatic invariance and passage through resonance for nearly periodic Hamiltonian systems," Stud. Appl. Math., 66, pp. 95-119, 1982. | ||
| "Resonant modal interactions and adiabatic invariance for a nonlinear wave equation in a variable domain," (with H.K. Li), Stud. Appl. Math., 71, pp. 1-64, 1984. | ||
| "A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations," (with C.L. Frenzen), Wave Motion, 7, pp. 25-42, 1985. | ||
| "Perturbation techniques for oscillatory systems with slowly varying parameters," SIAM Rev., 29, pp. 391-461, 1987. | ||
| "Explicit Approximations for strictly nonlinear oscillators with slowly varying parameters with applications to free-electron lasers," (with Y.P. Li), Stud. Appl. Math., 78, pp. 111-165, 1988. | ||
| "The effects of wiggler taper rate and signal field gain rate in free-electron lasers," (with Y.P. Li), IEEE J. Quantum Electron., 24, pp. 598-608, 1988. | ||
| "Passage through the critical Froude number for shallow water waves over a variable bottom," (with J. Yu), J. Fluid Mech., 204, pp. 31-56, 1989. | ||
| "Sustained resonance in very slowly varying oscillatory Hamiltonian systems," (with D.L. Bosley), SIAM J. Appl. Math., 51, pp. 439-471, 1991. | ||
| "Free-electron lasers with very slow wiggler taper," (with D.L. Bosley), IEEE J. Quantum Electron., 27, pp. 1078-1089,1991. | ||
| "Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems," (with D.L. Bosley), SIAM J. Appl. Math., 52, pp. 494-527, 1992. | ||
| "Perturbation techniques for models of bursting electrical activity in pancreatic beta-cells," (with M. Pernarowski and R.M. Miura), SIAM J. Appl. Math., 52, pp. 1627-1650, 1992. | ||
| "Nonlinear evolution of small disturbances into roll waves in an inclined open channel," (with J. Yu), J. Fluid Mech., 243, pp. 575-594, 1992. | ||
| "The interaction of a strong bore with small disturbances in shallow water," (with J. Yu), Stud. Appl. Math., 91, pp. 247-273, 1994. | ||
| "Weakly nonlinear waves for a class of linearly unstable hyperbolic conservation laws," (with J. Yu and L. Wang), SIAM J. Appl. Math., 55, pp. 446-484, 1995. | ||
| "On the asymptotic solution of non-Hamiltonian systems exhibiting sustained resonance," (with D.L. Bosley), Stud. Appl. Math., 94, pp. 83-130, 1995. | ||
| "Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria," (with L. Wang and D.L. Bosley), Physica D, 88, pp. 87-115, 1995. | ||
| "Asymptotic electron trajectories and an adiabatic invariant for a helical-wiggler free electron laser with weak self-fields," (with L. Wang), Phys. Plasmas, 3, pp. 1162-1175, 1996. | ||
| "An asymptotic analysis of the 1:3:4 Hamiltonian normal form," (with L. Wang and D.L. Bosley), Physica D, 99, pp. 1-17, 1996. | ||
| "Multiple-scale homogenization for weakly nonlinear conservation laws with rapid spatial fluctuations," (with D.L. Bosley), Stud. Appl. Math., 101, pp. 127-183, 1998. | ||
| "Weak nonlinear long waves in channel flow with internal dissipation," (with J. Yu and R. Haberman), Stud. Appl. Math., 105, pp. 143-163, 2000. | ||
| "Solving boundary-value problems for systems of hyperbolic conservation laws with rapidly varying coefficients," (with D.H. Yong), Stud. Appl. Math., 108, pp. 259-303, 2002. | ||
| "Initial boundary-value problems for a pair of conservation laws," (with D.H. Yong), Stud. Appl. Math., 108, pp. 351-368, 2002. | ||
| PROCEEDINGS | "Uniformly valid asymptotic approximation for certain nonlinear differential equations," (with J.D. Cole), Proceedings of International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, pp. 113-120, 1963. | |
| "Numerical aspects of uniformly valid asymptotic approximations for a class of trajectories in the restricted three-body problem," (with P.A. Lagerstrom), Celestial Mechanics and Astrodynamics, AIAA, Progress in Astronautics and Aeronautics Series, 14, pp. 3-33, 1964. | ||
| "The two-variable expansion procedure for the approximate solution of certain nonlinear differential equations," Lectures in Applied Mathematics, 7, Space Mathematics, Part III, American Mathematical Society, pp. 206-275, 1966. | ||
| "A uniformly valid asymptotic representation of satellite motion around the smaller primary in the restricted three-body problem," (with M.C. Eckstein and Y.Y. Shi), Methods in Astrodynamics and Celestial Mechanics, AIAA, Progress in Aeronautics and Astronautics Series, 17, pp. 183-198, 1966. | ||
| "Satellite motion for all inclinations around an oblate planet," (with M.C. Eckstein and Y.Y. Shi), Symposium No. 25, IAU, Academic Press, pp. 291-322, 1966. | ||
| "The planar motion of a Trojan asteroid," Periodic Orbits, Stability and Resonances, D. Reidel Publishing Company, pp. 286-303, 1970. | ||
| "Passage through resonance," Singular Perturbations and Asymptotics, Academic Press, pp. 191-222, 1980. | ||
| "The Sherman-Rinzel-Kizer model for bursting electrical activity in the pancreatic beta-cell," (with M. Pernarowski and R.M. Miura), Differential Equation Models in Population Dynamics and Physiology, Springer-Verlag, pp. 34-53, 1991. | ||
| "Weakly nonlinear conservation laws with source terms," Mathematics Is for Solving Problems, SIAM Publications, pp. 167-178, 1996. | ||
| TECHNICAL REPORTS | "Normal component of induced velocity for entire field of a uniformly loaded lifting rotor with highly swept wake as determined by electromagnetic analog," (with W. Castles and H.L. Durham), National Advisory Committee for Aeronautics, Technical Report R-41, 1959. | |
| "The two variable expansion procedure for the approximate solution of certain nonlinear differential equations," Douglas Aircraft Co., Santa Monica, CA, Report No. SM-42620, 1962. | ||
| "The motion of a radially deforming slender body of revolution in a perfect fluid," Ecole Nationale de Techniques Avancées, Paris, Report 070, 1976. |
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