Syracuse University

- Numerical Methods in General
Press, William H., Brian P. Flannery, Saul A. Teukolsky and William T. Vetterling (1986),

*Numerical Recipes*, New York: Cambridge University Press, Sections 2.0, 2.1, 9.6, 15.0, 15.1, 15.4, and 16.0-16.3.- Two-Point Boundary Value Problems in Economics
Wilcoxen, Peter J (1995), Intertemporal Optimization in General Equilibrium: A Practical Introduction. Discusses solving intertemporal models with foresight, which typically take the form of two-point boundary value systems of differential equations.

- Newton's Method
Also see the downloadable software section below.

- Johansen's Method
Dixon, Peter B., B.R. Parmenter, Alan A. Powell and Peter J. Wilcoxen (1992),

*Notes and Problems in Applied General Equilibrium Economics,*Amsterdam: North-Holland, Chapter 3, "The Johansen Approach".Johansen, Leif (1960),

*A Multi-Sectoral Study of Economic Growth*, Amsterdam: North-Holland.- Shooting
- Multiple Shooting
Lipton, David, James Poterba, Jeffrey Sachs and Lawrence Summers (1982), "Multiple Shooting in Rational Expectations Models,"

*Econometrica*, 50(5): 1329-1333.- Fair-Taylor
Fair, R.C. and J.B. Taylor (1983), "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models,"

*Econometrica*, 51(4), 1169-1185.Fair, Ray C. and John B. Taylor (1990), "Full Information Estimation and Stochastic Simulation Models with Rational Expectations,"

*Journal of Applied Econometrics*, 5: 381-392.Also see the downloadable software section below.

- Finite Differences
- Simplex -Based Approaches
Scarf, Herbert (1973),

*The Computation of Economic Equilibria*, New Haven: Yale University Press, Chapter 2.Shoven, John B. and John Whalley (1992),

*Applying General Equilibrium*, New York: Cambridge University Press, Chapter 3.

- Ox
A well-designed matrix programming language. An alternative to Gauss and Matlab. See About Ox

- Gempack
Codsi, George, K.R. Pearson and Peter J. Wilcoxen (1992), "General-Purpose Software for Intertemporal Economic Models",

*Computer Science in Economics and Management*.Impact Project (1992), "An Introduction to GEMPACK," GEMPACK Document Number 1, Melbourne: The Impact Project, Monash University.

See also: About Gempack.

- GAMS
Brooke, Anthony, David Kendrick and Alexander Meeraus (1988),

*GAMS: A User's Guide*, Redwood City, California: The Scientific Press. (The GAMS manual.)See also: About GAMS.

- Fortran and C
See the downloadable software section.

- Fair-Taylor Algorithm
- Newton's Method in Ox

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URL: https://cleanenergyfutures.insightworks.com/pages/483.html

Peter J Wilcoxen, The Maxwell School, Syracuse University

Revised 02/24/2005

URL: https://cleanenergyfutures.insightworks.com/pages/483.html

Peter J Wilcoxen, The Maxwell School, Syracuse University

Revised 02/24/2005