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A Nonstationary Statistical Model for Computationally Intensive Numerical Ordinary Differential Systems
Abstract:ABSTRACT

Computer models depending on unknown inputs are used in computer experiments in order to study the input-output relationship. Some computer models are computationally intensive and only a few computer runs can be made. A nonstationary statistical model that is used as a faster-running surrogate for computationally intensive numerical solvers of ordinary differential systems is proposed in this article. This statistical model reflects the dynamics of the system and, as a population dynamics example will show, it can be more accurate than a commonly used black box statistical model.
Keywords:Black box statistical model  Local truncation error  Nonstationary statistical model
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