Results 61 to 70 of about 2,879,792 (277)
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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On the extremal semi-Lipschitz functions
Journal of Numerical Analysis and Approximation Theory, 2002 The extremal elements of the unit balls of Banach spaces play an important role in the study of the geometry of the space as well as in various applications.
Costică Mustăţa
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Lipschitz Classification of definable Surface SingularitiesÂ
, 2019 We consider the problem of Lipschitz classification of singularities of Real Surfaces definable in a polynomially bounded o-minimal structure (e.g., semialgebraic or subanalytic) with respect to the outer metric.
Gabrielov, Andrei
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An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
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On the reduced-set pareto-lipschitzian optimization
Computational Science and Techniques, 2013 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
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Lipschitz Functions and Spectral Synthesis [PDF]
Proceedings of the American Mathematical Society, 1981 An S S -set in the circle group
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Weakly Convex Ridge Regularization for 3D Non‐Cartesian MRI Reconstruction
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose While highly accelerated non‐Cartesian acquisition protocols significantly reduce scan time, they often entail long reconstruction delays for 3D data. Deep learning–based reconstruction methods can alleviate this, but typically rely on complex, highly parametrized architectures.
German Shâma Wache +3 more
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ПРЕОБРАЗОВАНИЕ ДАНКЛЯ ФУНКЦИЙ, УДОВЛЕТВОРЯЮЩИХ УСЛОВИЮ ЛИПШИЦА
Проблемы анализа, 2007 The Dunkl transform of functions satisfying certain Lipschitz conditions is studied in this paper. The analogue of the theorem of E. Titchmarsh about the description of image under Dunkl transform of functions satisfying certain Lipschitz conditions is ...
БЕЛКИНА Е.С.
doaj
Density of Lipschitz functions in energy
Calculus of Variations and Partial Differential Equations, 2022 AbstractIn this paper, we show that the density in energy of Lipschitz functions in a Sobolev space$$N^{1,p}(X)$$N1,p(X)holds for all$$p\in [1,\infty )$$p∈[1,∞)whenever the spaceXis complete and separable and the measure is Radon and positive and finite on balls. Emphatically,$$p=1$$p=1is allowed.
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Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, EarlyView.A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
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