The visualization of simulation trajectories is a well-established approach to analyze simulated processes. Likewise, the visualization of the parameter space that configures a simulation is a well-known method to get an overview of possible parameter combinations. This paper follows the premise that both of these approaches are actually two sides of the same coin: Since the input parameters in...

In a complex self-organizing system, small changes in the interactions between the system’s components can result in different emergent macrostructures or macro-behaviors. In chemical engineering and material science, such spontaneously self-assembling systems, using polymers, nanoor colloidal scale particles, DNA, or other precursors, are an attractive way to create materials that are precisel...

A number of robust stability problems take the following form. A polynomial has real coefficients which are multilinear in real parameters that are confined to a rectangular axis-parallel box in parameter space. An efficient method is required for checking the stability of this set of polynomials. We present two sufficient conditions in this paper, which can be applied in many cases. They invol...

The Fisher matrix formalism is a method of error forecasting and the method has been widely used in cosmological data analysis because of its convenience and effectiveness. It is based on the second-order expansion of the logarithm of the likelihood function in the parameter space, and the estimated error contours are ellipsoids in the parameter space. With real-world data, the error contours a...

Morphological analysis is a method for rigorously structuring and investigating the total set of relationships in inherently non-quantifiable socio-technical problem complexes (variously called “wicked problems” and “social messes”). The method is carried out by developing a discrete parameter space of the problem complex to be investigated, and defining relationships between the parameters on ...

Let X be a real or complex Banach space and Y be a normed linear space. Suppose that f:X → Y is a Frechet differentiable function and F:X ⇉ 2 is a set-valued mapping with closed graph. Uniform convergence of Chord method for solving generalized equation y ∈ f x + F x ...... . (∗), where y ∈ Y a parameter, is studied in the present paper. More clearly, we obtain the uniform convergence of the se...

Abstrm-A number of robust stability problems take the following farm. A polynomial has real coefficients which are multilinear in real parameters that are confined to a rectangular axis-parallel box in parameter space. An elftcient method is required for checking the stability of this set of polynomials. We present two sufficient conditions in this paper, which can be applied in many cases. The...

A number of robust stability problems take the following form: A polynomial has real coefficients which are multiaffine in real parameters that are confined to a box in parameter space. An efficient method is required for checking the stability of this set of polynomials. We prerent two sufficient conditions in this paper. They involve checking certain properties a t the corners and edges of th...

1 This paper studies nonparametric estimation of conditional moment restrictions in which the generalized residual functions can be nonsmooth in the unknown functions of endogenous variables. This is a nonparametric nonlinear instrumental variables (IV) problem. We propose a class of penalized sieve minimum distance (PSMD) estima-tors, which are minimizers of a penalized empirical minimum dista...

Standard numerical simulations for optimization or inverse identification of welding processes remain costly and difficult due to their multi-parametric aspect and inherent complexity. The aim of this paper is to propose a non-intrusive strategy for building computational vademecums dedicated to real-time simulations of nonlinear thermo-mechanical problems. There is in essence, a set of precomp...