Nonlinear differential equations and dynamical systems
Nonlinear differential equations and dynamical systems
Exploiting Model Structure to Solve the Dynamics of a Macro Model
Computational Economics
Assessing two common approaches for solving models with saddle-path instabilities
Mathematics and Computers in Simulation - Special issue: Second special issue: Selected papers of the MSSANZ/IMACS 15th biennial conference on modelling and simulation
Computational Economics
Linearization and Higher-Order Approximations: How Good are They?
Computational Economics
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We present the blueprints for a set of innovative reverse shooting algorithms that trap the global saddle path in systems with 2-4 state variables. The solution procedure is built around a new distance mapping and refined simplex algorithms. Since the algorithms are completely reliable and always work in the same way, we have been able to develop canned programs that solve for the global nonlinear saddle path in any model with 2-4 state variables. The programs are written in the spirit of plug and play: the user types in the equations of the model and then waits for the solution.