Existence, uniqueness and approximation of solutions of SDEs with superlinear coefficients in the presence of discontinuities of the drift coefficient [PDF]
Communications in Mathematical Sciences, 2022 Existence, uniqueness, and $L_p$-approximation results are presented for scalar stochastic differential equations (SDEs) by considering the case where, the drift coefficient has finitely many spatial discontinuities while both coefficients can grow ...
Thomas Muller-Gronbach +2 more
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On best approximations of polynomials in matrices in the matrix 2-norm [PDF]
, 2009 We show that certain matrix approximation problems in the matrix 2-norm have uniquely defined solutions, despite the lack of strict convexity of the matrix 2-norm.
Liesen, Jörg, Tichý, Petr
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Tensor Decompositions for Signal Processing Applications From Two-way to Multiway Component Analysis [PDF]
, 2014 The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile data analysis tools. We show that higher-order tensors (i.
Caiafa, C. +6 more
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Characterization and uniqueness of best uniform vector-valued linear approximation
Journal of Approximation Theory, 1975 Paul M. Schwartz
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Researches in Mathematics, 2019 We investigate the problem of uniqueness of the best non-symmetrical $L_1$-approximant with a weight for continuous functions on metric compact set $Q$ with values in strictly convex partially ordered KB-space $X$ by subspaces of space $C(Q, X)$ of ...
M.Ye. Tkachenko, V.M. Traktynska
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Sensors, 2008 A simulation study to assess the potentiality of sea surface wind vector estimation based on the approximation of the forward model through Neural Networks and on the Bayesian theory of parameter estimation is presented.
Luca Pulvirenti +2 more
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Approximation methods for hybrid diffusion systems with state-dependent switching processes : numerical algorithms and existence and uniqueness of solutions [PDF]
, 2010 By focusing on hybrid diffusions in which continuous dynamics and discrete events coexist, this work is concerned with approximation of solutions for hybrid stochastic differential equations with a state-dependent switching process.
Cao, Dingzhou +3 more
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Optimal design of boundary observers for the wave equation
ESAIM: Proceedings and Surveys, 2014 In this article, we consider the wave equation on a domain of Rn with Lipschitz boundary. For every observable subset Γ of the boundary ∂Ω (endowed with the usual Hausdorff measure Hn − 1 on ∂Ω), the observability ...
Jounieaux Pierre +2 more
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Uniqueness of best L1-approximations from periodic spline spaces
Journal of Approximation Theory, 1989 Let \(C^ r[a,b]\) be the space of all r-times continuously differentiable real functions on the interval [a,b]. The space of polynomials of order at most m is denoted by \(\Pi_ m\).
Nürnberger, Günther +1 more
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Generalized Thomas-Fermi equation: existence, uniqueness, and analytic approximation solutions
AIMS Mathematics, 2023 The existence and uniqueness theorem for the generalized boundary value problem of the Thomas-Fermi equation: \begin{document}$ \begin{eqnarray*} \left\{ \begin{array}{l} y''+f(x, y) = 0 ...
L. Bougoffa, S. Bougouffa, Ammar Khanfer
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