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Scientists in many disciplines have progressively been using simulations to better understand the natural systems they study. Faster hardware, as well as
increasingly precise instruments, allow the construction and simulation of progressively advanced mod ...
The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...
We establish exponential convergence of the hp-version of isogeometric analysis for second order elliptic problems in one spacial dimension. Specifically, we construct, for functions which are piecewise analytic with a finite number of algebraic singularit ...
The hydrologic response of Alpine catchments embeds the geomorphologic signature of the dominant drivers influencing snowmelt runoff dynamics. The focus of this work is the role of aspect as the main control on incoming radiation. We investigate the link b ...
In this paper an Iterative Learning Control (ILC) algorithm is proposed for a certain class of Linear Parameter Varying (LPV) systems whose dynamics change between iterations. Consistency of the algorithm in the presence of stochastic disturbances is shown ...
It is known that a Green's function-type condition may be used to derive rates for approximation by radial basis functions (RBFs). In this paper, we introduce a method for obtaining rates for approximation by functions which can be convolved with a finite ...
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1) ...
Design and implementation of distributed algorithms often involve many subtleties due to their complex structure, non-determinism, and low atomicity as well as occurrence of unanticipated physical events such as faults. Thus, constructing correct distribut ...
We introduce a multi-domain Fourier-continuation/WENO hybrid method (FC-WENO) that enables high-order and non-oscillatory solution of systems of nonlinear conservation laws, and which enjoys essentially dispersionless, spectral character away from disconti ...
We study the Gowers uniformity norms of functions over Z/pZ which are trace functions of l-adic sheaves. On the one hand, we establish a strong inverse theorem for these functions, and on the other hand this gives many explicit examples of functions with G ...
