Nonstandard Finite Difference Schemes for a Nonlinear World
, 2019 Many real-world phenomena tend to be modeled via nonlinear models. In the late 1980\u27s, Ronald Mickens of Clark Atlanta University introduced the concept of a nonstandard finite difference scheme (NSFD) as a methodology which would best approximate ...
Washington, Talitha
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Fast iterative solvers for PDE-constrained optimization problems
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
, 2019 International audienceWe study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of metamaterials, we focus our effort on two recent nonstandard ...
Ghiba, Ionel-Dumitrel +3 more
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Hypothesis Testing in the Presence of One-sided Nuisance Parameters [PDF]
In this paper, we investigate whether similar improvements are observed when we have a non-sample information regarding the nuisance parameters in the testing problem.
Anthony W. Hughes
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Random walks with drift : a sequential approach [PDF]
In this paper sequential monitoring schemes to detect nonparametric drifts are studied for the random walk case. The procedure is based on a kernel smoother.
Steland, Ansgar
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The nonstandard finite difference method applied to pharmacokinetic models
, 2018 A thesis submitted in fullment of the requirements for the degree of Doctor of Philosophy in the School of Computer Science and Applied Mathematics , University of the Witwatersrand, Johannesburg, July 2018A good understanding of pharmacokinetic ...
Egbelowo, Oluwaseun Francis
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Object-oriented Computation of Sandwich Estimators
Sandwich covariance matrix estimators are a popular tool in applied regression modeling for performing inference that is robust to certain types of model misspecification.
Achim Zeileis
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Properties of the Sieve Bootstrap for Fractionally Integrated and Non-Invertible Processes [PDF]
In this paper we will investigate the consequences of applying the sieve bootstrap under regularity conditions that are sufficiently general to encompass both fractionally integrated and non-invertible processes.
D. S. Poskitt
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The Role of Credibility and Fundamentals in a Funded Pension System: A Markov Switching Analysis for Australia and Iceland [PDF]
Since the turn of the millennium the problem of credibility of the social security system has spread to the private pension funds sector. This is evident for those countries, like Australia and Iceland, that have very large funded pensions assets as a ...
Oreste Napolitano, Mariangela Bonasia
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Mathematics, Models and Zeno’s Paradoxes Mathematics, Models, and Zeno’s Paradoxes of Motion
, 1995 A version of nonstandard analysis, Internal Set Theory, has been used to provide a resolution of Zeno’s paradoxes of motion. This resolution is inadequate because the application of Internal Set Theory to the para-doxes requires a model of the world that
Joseph S. Alper, Mark Bridger
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