Numerical methods for the solution of the neoclassical growth model

Dedeoğlu, Bülent


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Differential equations are the primary tool to mathematically model physical phenomena in industry and natural science and to gain knowledge about its features. Deterministic differential equations does not sufficiently model physically observed phenomena since there exist naturally inevitable uncertainties in nature. Employing random variables or processes as inputs or coefficients of the differential equations yields a stochastic differential equation which can clarify unnoticed features of physical event...
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In this thesis, some novel methods for solution of compressible, multi-phase flows on unstructured grids were developed. The developed methods are especially advantageous for interface problems, while they are also applicable to multi-phase flows containing mixtures as well as particle suspensions. The first method studied was a multi-dimensional, multi-phase Godunov method for compressible multi-phase flows. This method is based on the solution of a hyperbolic equation system for compressible multi-phase f...
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In this dissertation, efficient and reliable numerical algorithms for approximating solutions of multiphysics flow problems are investigated by using numerical methods. The interaction of multiple physical processes makes the systems complex, and two fundamental difficulties arise when attempting to obtain numerical solutions of these problems: the need for algorithms that reduce the problems into smaller pieces in a stable and accurate way and for large (sometimes intractable) amount of computational resou...
Citation Formats
B. Dedeoğlu, “Numerical methods for the solution of the neoclassical growth model,” Middle East Technical University, 1999.