

Bibliography
for Shooting Methods for ODE's
unabridged
- Infinitely Many Stationary
Solutions for a Simple Climate Model via a Shooting Method
Diaz, J. I.; Tello, L.
Mathematical Methods in the Applied Sciences, 2002, vol. 25, no.
4, pp. 327-334, Ingenta.
- Numerical results on
alternating linear shooting method.
Kim, Do-Hyun; Lee, Sun-Woo
Far East J. Appl. Math. 5 (2001), no. 2, 211--223,
MathSciNet.
- An Alternative
to the Shooting Method for a Certain Class of Boundary Value
Problems
David A Sanchez,
American Mathematical Monthly, Vol. 108, No. 6, 2001, pp.
552-555.
- A nonlinear shooting method
for two-point boundary value problems
Ha, S. N.
Computers and Mathematics With Applications, 2001, vol. 42, no.
ER10-11, pp. 1411-1420, Ingenta.
- Shooting method for non-linear
vibration and thermal buckling of heated orthotropic circular
plates
Li, S.-R.; Zhou, Y.-H.
Journal of Sound and Vibration, 2001, vol. 248, no. 2, pp.
379-386, Ingenta.
- The shooting method for the
solution of ordinary differential equations: a control-theoretical
perspective
Schaerer, C. E.; Kaszkurewicz, E.
International Journal of Systems Science, 2001, vol. 32, no. 8,
pp. 1047-1054, Ingenta.
- Performance of Parallel
Shooting Method for Closed Loop Guidance of an Optimal Launch
Vehicle Trajectory
Anand Jutty, K.; Bhat, M. S.; Ghose, D.
Optimization and Engineering, 2000, vol. 1, no. 4, pp. 399-436,
Ingenta.
- Numerical Method of Parallel
Shooting for Solving Multilayered Steady-State Boundary Problems
in Membrane Electrochemistry.
Lebedev, K.A.; Kovalev, I.V.
Russian journal of electrochemistry, 1999, vol. 35, no. 10, pp.
1074, Ingenta.
- Efficient shooting algorithms
for solving the nonlinear one-dimensional scalar Helmholtz
equation.
Jiménez, S.; Bulgakov, S.; Vázquez,
L.
Appl. Math. Comput. 95 (1998), no. 2-3, 101--114,
MathSciNet.
- A shooting method for singular
nonlinear second order Volterra integro-differential
equations.
Shaw, R. E.; Garey, L. E.
International journal of mathematics and mathema, 1997, vol. 20,
no. 3, pp. 589--598, MathSciNet.
- Multiple shooting with
dichotomically stable formulae for linear boundary-value
problems.
Dueñas, E.; England, R.; López-Estrada,
J.
Numerical mathematics and computational mechanics (Miskolc, 1996).
Comput. Math. Appl. 38 (1999), no. 9-10, 143--159,
MathSciNet.
- A
Motivational Example for the Numerical Solution of Two-Point
Boundary-Value Problems (in Classroom
Notes)
Stephen M. Alessandrini
SIAM Review, Vol. 37, No. 3. (Sep., 1995), pp. 423-427,
Jstor.
- Shooting methods for two-point
BVPs with partially separated endconditions.
Hermann, M.; Kaiser, D.
Z. Angew. Math. Mech. 75 (1995), no. 9, 651--668,
MathSciNet.
- A Newton-Picard shooting
method for computing periodic solutions of large-scale dynamical
systems.
Roose, D.; Lust, K.; Champneys, A.; Spence, A.
Structure formation in continuous dynamical systems (Caputh,
1993). Chaos Solitons Fractals 5 (1995), no. 10, 1913--1925,
MathSciNet.
- Shooting methods for two-point
BVPs with partially separated endconditions.
Hermann, M.; Kaiser, D.
Z. Angew. Math. Mech. 75 (1995), no. 9, 651--668,
MathSciNet.
- On numerical solution of the
Schrodinger equation: the shooting method revisited.
Indjin, D.; Todorovic, G.; Ikonic, Z.
Computer physics communications, 1995, vol. 90, no. 1, pp. 87,
Ingenta.
- On a shooting algorithm for
Sturm-Liouville eigenvalue problems with periodic and
semi-periodic boundary conditions.
Ji, Xing Zhi
J. Comput. Phys. 111 (1994), no. 1, 74--80,
MathSciNet.
- Shooting
Methods for One-Dimensional Diffusion-Absorption
Problems
V. Martinez, A. Marquina, R. Donat
SIAM Journal on Numerical Analysis, Vol. 31, No. 2. (Apr., 1994),
pp. 572-589, Jstor.
- Multiple solutions of boundary
value problems: an elementary approach via the shooting
method.
Dinca, Gheorghe; Sanchez, Luis
NoDEA Nonlinear Differential Equations Appl. 1 (1994), no. 2,
163--178, MathSciNet.
- On the Shooting Method for a
Class of Two-Point Singular Nonlinear Boundary Value Problems.
Elgindi, M.B.M.; Langer, R.W.
International journal of computer mathematics, 1994, vol. 51, no.
1/2, pp. 107, Ingenta.
- Classical and vector
Sturm-Liouville problems: recent advances in singular-point
analysis and shooting-type algorithms.
Pryce, John D.
Proceedings of the Fifth International Congress on Computational
and Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. 50
(1994), no. 1-3, 455--470, MathSciNet.
- Application
of Global Methods in Parallel Shooting
M. E. Kramer, R. M. M. Mattheij
SIAM Journal on Numerical Analysis, Vol. 30, No. 6. (Dec., 1993),
pp. 1723-1739, Jstor.
- Optimizing the numerical
integration of initial value problems in shooting methods for
linear boundary value problems.
Rández, L.
SIAM J. Sci. Comput. 14 (1993), no. 4, 860--871,
MathSciNet.
- On shooting algorithm for
Sturm-Liouville eigenvalue problems with periodic and
semi-periodic boundary conditions.
Wong, Yau Shu; Ji, Xing Zhi
Appl. Math. Comput. 51 (1992), no. 2-3, 87--104,
MathSciNet.
- Parallel algorithms for
initial value problems: parallel
shooting.
Khalaf, B. M. S.; Hutchinson, D.
Parallel Comput. 18 (1992), no. 6, 661--673,
MathSciNet.
- Shooting methods for
diffusion-absorption processes. (Spanish)
Martínez, V.; Marquina, A.
Proceedings of the XII Congress on Differential Equations and
Applications/II Congress on Applied Mathematics (Spanish) (Oviedo,
1991), 245--250, Univ. Oviedo, Oviedo, 1991,
MathSciNet.
- Multiple shooting algorithms
for jump-discontinuous problems in optimal control and
estimation.
Mook, D. Joseph; Lew, Jiann-Shiun
IEEE Trans. Automat. Control 36 (1991), no. 8, 979--983,
MathSciNet.
- Global error estimates for the
standard parallel shooting method.
Marzulli, P.
Journal of computational and applied mathematics, 1991, vol. 34,
no. 2, pp. 233, Ingenta.
- Pointwise and nodal error
estimation in linear boundary value problems solved by the
standard parallel shooting.
Gheri, G.
Approximation, optimization and computing, 81--83, North-Holland,
Amsterdam, 1990, MathSciNet.
- Asymptotic shooting method for
the solution of differential equations.
Holubec, A.; Stauffer, A. D.; Acacia, P.
Journal of physics A, 1990, vol. 23, no. 18, pp. 4081,
Ingenta.
- On the theory of the multiple
bilateral shooting method for linear problems with a boundary
layer. (Russian)
Kuleshova, I. F.; Monastyrnyui, P. I.; Radaeva, V.
A.
Dokl. Akad. Nauk BSSR 33 (1989), no. 2, 106--109, 187,
MathSciNet.
- Estimation of the global
discretization error in shooting methods for linear boundary value
problems.
Marzulli, P.; Gheri, G.
Proceedings of the 3rd International Congress on Computational and
Applied Mathematics (Leuven, 1988). J. Comput. Appl. Math. 28
(1989), Special Issue, 309--314,
MathSciNet.
- Graded-Mesh
Difference Schemes for Singularly Perturbed Two-Point Boundary
Value Problems
Eugene C. Gartland, Jr.
Mathematics of Computation, Vol. 51, No. 184. (Oct., 1988), pp.
631-657, Jstor.
- On
the Numerical Integration of Nonlinear Two-Point Boundary Value
Problems Using Iterated Deferred Corrections. Part 2: The
Development and Analysis of Highly Stable Deferred Correction
Formulae
J. R. Cash
SIAM Journal on Numerical Analysis, Vol. 25, No. 4. (Aug., 1988),
pp. 862-882, Jstor.
- Vectorisation of the multiple
shooting method for the nonlinear boundary value problem in
ordinary differential equations.
Goldmann, Mark
Parallel Comput. 7 (1988), no. 1, 97--110,
MathSciNet.
- The Existence of the Solution
and the Globally Convergent Shooting Method for a Class of
Two-Point Boundary Value Problems.
Feng, Guo-chen
Journal of computational mathematics, 1988, vol. 6, no. 3, pp.
282, Ingenta.
- Shooting algorithms for
two-point BVPs.
Hermann, M.
Numerical treatment of differential equations (Halle, 1987),
74--83, Teubner-Texte Math., 104, Teubner, Leipzig, 1988,
MathSciNet.
- The
Factorization Method for the Numerical Solution of Two Point
Boundary Value Problems for Linear ODE's
I. Babuska, V. Majer
SIAM Journal on Numerical Analysis, Vol. 24, No. 6. (Dec., 1987),
pp. 1301-1334, Jstor.
- The combination of shooting
methods and simplicial algorithms for the solution of boundary
value problems (extended abstract).
Schilling, Klaus
XI symposium on operations research (Darmstadt, 1986), 425--426,
Methods Oper. Res., 57, Athenäum/Hain/Hanstein,
Königstein, 1987, MathSciNet.
- A
Note on the Relationship Between Finite-Difference and Shooting
Methods for ODE Eigenvalue Problems
Michael B. Porter, Edward L. Reiss
SIAM Journal on Numerical Analysis, Vol. 23, No. 5. (Oct., 1986),
pp. 1034-1039, Jstor.
- Numerical
Methods for Stiff Two-Point Boundary Value
Problems
Heinz-Otto Kreiss, N. K. Nichols, David L. Brown
SIAM Journal on Numerical Analysis, Vol. 23, No. 2. (Apr., 1986),
pp. 325-368, Jstor.
- The
Close Relationships Between Methods for Solving Two-Point Boundary
Value Problems
Marianela Lentini, Michael R. Osborne, Robert D.
Russell
SIAM Journal on Numerical Analysis, Vol. 22, No. 2. (Apr., 1985),
pp. 280-309, Jstor.
- On
Optimal Shooting Intervals
R. M. M. Mattheij, G. W. M. Staarink
Mathematics of Computation, Vol. 42, No. 165. (Jan., 1984), pp.
25-40, Jstor.
- Zur numerischen Behandlung von
linearen Zweipunkt-Randwertproblemen mit Schießverfahren.
(German) [On the numerical treatment of linear two-point
boundary value problems with shooting
methods]
Kaiser, D.
Proceedings of the fourth conference on numerical treatment of
ordinary differential equations (Berlin, 1984), 89--99,
Seminarberichte, 65, Humboldt Univ., Berlin, 1984,
MathSciNet.
- Estimating Regions of
Existence of Unstable Periodic Orbits Using Computer-Based
Techniques
Ira Bruce Schwartz
SIAM Journal on Numerical Analysis, Vol. 20, No. 1. (Feb., 1983),
pp. 106-120.
- The numerical treatment of
linear boundary value problems with partially separated boundary
conditions by shooting methods.
Hermann, Martin; Kaiser, Dieter
Numerical treatment of differential equations, II (Jena, 1983),
91--145, Wissensch. Beitr., Friedrich-Schiller-Univ., Jena, 1984,
MathSciNet.
- The
Stability of One-Step Schemes for First-Order Two-Point Boundary
Value Problems
C. de Boor, F. de Hoog, H. B. de Keller
SIAM Journal on Numerical Analysis, Vol. 20, No. 6. (Dec., 1983),
pp. 1139-1146, Jstor.
- Invariant imbedding and
multiple shooting for the solution of unstable linear boundary
value problems.
Breitenecker, F.
Appl. Math. Comput. 9 (1981), no. 4, 235--244,
MathSciNet.
- A
Posteriori Error Bounds for Two-Point Boundary Value
Problems
Gershon Kedem
SIAM Journal on Numerical Analysis, Vol. 18, No. 3. (Jun., 1981),
pp. 431-448, Jstor.
- Improved shooting techniques
for linear boundary value problems.
Garg, Vijay K.
Comput. Methods Appl. Mech. Engrg. 22 (1980), no. 1, 87--99,
MathSciNet.
- The
Shooting Method for the Numerical Solution of a Class of Nonlinear
Boundary Value Problems
A. Granas, R. B. Guenther, J. W. Lee
SIAM Journal on Numerical Analysis, Vol. 16, No. 5. (Oct., 1979),
pp. 828-836, Jstor.
- Projection
Methods for Two-Point Boundary Value
Problems
G. W. Reddien
SIAM Review, Vol. 22, No. 2. (Apr., 1980), pp. 156-171,
Jstor.
- An
Algorithm that is Globally Convergent with Probability One for a
Class of Nonlinear Two-Point Boundary Value
Problems
Layne T. Watson
SIAM Journal on Numerical Analysis, Vol. 16, No. 3. (Jun., 1979),
pp. 394-401, Jstor.
- A
Double Shooting Scheme for Certain Unstable and Singular Boundary
Value Problems
Alvin Bayliss
Mathematics of Computation, Vol. 32, No. 141. (Jan., 1978), pp.
61-71, Jstor.
- A
Shooting Algorithm for the Best Least Squares Solution of
Two-Point Boundary Value Problems
W. F. Langford
SIAM Journal on Numerical Analysis, Vol. 14, No. 3. (Jun., 1977),
pp. 527-542, Jstor.
- Computational
Solution of Linear Two-Point Boundary Value Problems Via
Orthonormalization
Melvin R. Scott, Herman A. Watts
SIAM Journal on Numerical Analysis, Vol. 14, No. 1. (Mar., 1977),
pp. 40-70, Jstor.
- A
Two-Point Series Method for Two-Point Boundary Value Problems:
Theoretical Foundation
Andrew M. Olson
SIAM Journal on Numerical Analysis, Vol. 14, No. 1. (Mar., 1977),
pp. 2-18, Jstor.
- A
Numerical Method for Singular Two Point Boundary Value
Problems
D. C. Brabston, H. B. Keller
SIAM Journal on Numerical Analysis, Vol. 14, No. 5. (Sep., 1977),
pp. 779-791, Jstor.
- Numerov's
Method with Deferred Corrections for Two-Point Boundary-Value
Problems
James W. Daniel, Andrew J. Martin
SIAM Journal on Numerical Analysis, Vol. 14, No. 6. (Dec., 1977),
pp. 1033-1050, Jstor.
- Back-and-forth shooting method
for solving two-point boundary-value problems.
Orava, P. J.; Lautala, P. A. J.
J. Optimization Theory Appl. 18 (1976), no. 4, 485--498,
MathSciNet.
- A
Unified View of Some Methods for Stiff Two-Point Boundary Value
Problems
Karl G. Guderley
SIAM Review, Vol. 17, No. 3. (Jul., 1975), pp.
416-442.
- A
Comparison of Global Methods for Linear Two-Point Boundary Value
Problems
R. D. Russell, J. M. Varah
Mathematics of Computation, Vol. 29, No. 132. (Oct., 1975), pp.
1007-1019, Jstor.
- Interval
Analysis and Two-Point Boundary Value
Problems
F. Aleixo Oliveira
SIAM Journal on Numerical Analysis, Vol. 11, No. 2. (Apr., 1974),
pp. 382-391, Jstor.
- A
Comparison of Some Numerical Methods for Two-Point Boundary Value
Problems
James M. Varah
Mathematics of Computation, Vol. 28, No. 127. (Jul., 1974), pp.
743-755, Jstor.
- "Shooting
Technique" For Singular Perturbations
L. A. Skinner
SIAM Journal on Applied Mathematics, Vol. 25, No. 1. (Jul., 1973),
pp. 28-31, Jstor.
- On shooting methods for
two-point boundary value problems.
Bailey, Paul B.; Shampine, L. F.
J. Math. Anal. Appl. 23 1968 235--249,
MathSciNet.
(c) John
H. Mathews 2003