Studying the behavior of some slow phenomena, such as crustal or continental deformations, it is necessary to consider time series data, with a sufficient numerousness that depends on their characteristics. Time series analysis is a delicate step; in order to obtain a correct significance and validity it is necessary to use an internal coherent outlier free dataset. It is necessary to analyze t...

We propose an interacting particle system to model the evolution of a system of banks with mutual exposures. In this model, a bank defaults when its normalized asset value hits a lower threshold, and its default causes instantaneous losses to other banks, possibly triggering a cascade of defaults. The strength of this interaction is determined by the level of the so-called non-core exposure. We...

Seismic velocity discontinuities are commonly found within the upper 100 km of the mantle lithosphere, with great variability in their depth, lateral extent, and the polarity of velocity jump. Among the more commonly observed is the ‘80 km’ or Hales discontinuity, identified in a variety of tectonic environments, and sometimes associated with seismic anisotropy. Teleseismic receiver functions f...

abstract one of the most frequently encountered cases of rapid varied flow is the hydraulic jump. it occurs when a supercritical open channel flow changes into sub critical flow. in the present research, the experimental study of the hydraulic jump on seven sinusoidal corrugated beds with different wave steepness. the wave steepness of sinusoidal corrugated beds is in the range of 0.1667 to 0.7...

The estimation of functions with varying degrees smoothness is a challenging problem in the nonparametric function estimation. In this paper, we propose LABS (L\'{e}vy Adaptive B-Spline regression) model, an extension LARK models, for smoothness. model B-spline bases as generating kernels. basis consists piecewise k degree polynomials k-1 continuous derivatives and can express systematically By...

Internal boundaries and interfaces are an important part of many uid and solid modeling problems. Front Tracking contains a general interface framework, closely related to the non-manifold geometry used in CAD solid modeling packages, to support numerical simulation of such uid problems. It can thus be considered to be a systematic application of the ideas of computational geometry to computati...

Abstract. We use optimal rational approximations of projection data collected in X-ray tomography to improve image resolution. Under the assumption that the object of interest is described by functions with jump discontinuities, for each projection we construct its rational approximation with a small (near optimal) number of terms for a given accuracy threshold. This allows us to augment the me...

For Stokes equations with a discontinuous viscosity across an arbitrary interface or/and singular forces along the interface, it is known that the pressure is discontinuous and the velocity is non-smooth. It has been shown that these discontinuities are coupled together, which makes it difficult to obtain accurate numerical solutions. In this paper, a new numerical method that decouples the jum...

The classical sine-Gordon model is a two-dimensional integrable field theory, with particle like solutions the so-called solitons. Using its integra-bility one can define its quantum version without the process of canonical quantization. This bootstrap method uses the fundamental propterties of the model and its quantum features in order to restrict the structure of the scattering matrix as far...

Abstract. We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where [f ](x) := f(x+)− f(x−) 6= 0. Our approach is based on two main aspects—localization using appropriate concentration kernels and separation of scales by nonlinear enhancement. To detect such edges, one employs concentration kernels, Kǫ(·), depending on the s...