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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. One of the central tasks in microwave electronics is the construction of miniature antennas with high performance. The main equations used in modeling wire antennas of various configurations are the Pocklington, Gallen equations, singular ...
I. V. Boykov, P. V. Aykashev
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Continuous modified Newton’s-type method for nonlinear operator equations [PDF]
Annali di Matematica Pura ed Applicata, 2003 .A nonlinear operator equation F(x)=0, F:H→H, in a Hilbert space is considered. Continuous Newton’s-type procedures based on a construction of a dynamical system with the trajectory starting at some initial point x0 and becoming asymptotically close to a
A. Ramm, A. Smirnova, A. Favini
semanticscholar +5 more sources
SplineCNN: Fast Geometric Deep Learning with Continuous B-Spline Kernels [PDF]
2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2018 We present Spline-based Convolutional Neural Networks (SplineCNNs), a variant of deep neural networks for irregular structured and geometric input, e.g., graphs or meshes.
Fey, Matthias +3 more
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The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective [PDF]
, 2007 We investigate how the Unitary Correlation Operator Method (UCOM), developed to explicitly describe the strong short-range central and tensor correlations present in the nuclear many-body system, relates to the Similarity Renormalization Group (SRG), a ...
Hergert, H., Roth, R.
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Improved Regularization Method for Backward Cauchy Problems Associated with Continuous Spectrum Operator [PDF]
International Journal of Differential Equations, 2011 We consider in this paper an abstract parabolic backward Cauchy problem associated with an unbounded linear operator in a Hilbert space 𝐻, where the coefficient operator in the equation is an unbounded self-adjoint positive operator which has a ...
Salah Djezzar, Nihed Teniou
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PMLSM position control based on continuous projection adaptive sliding mode controller
Systems Science & Control Engineering, 2018 In this paper, the design of projection-based Adaptive Sliding Mode Controller (ASMC) is presented for position control of Permanent Magnet Linear Synchronous Motor (PMLSM) with unknown mover mass.
Amjad Jaleel Humaidi +1 more
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A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations [PDF]
Archiv der Mathematik, 2022 We consider the damped Newton method for strongly monotone and Lipschitz continuous operator equations in a variational setting. We provide a very accessible justification why the undamped Newton method performs better than its damped counterparts in a ...
Pascal Heid
semanticscholar +1 more source
Geometry-Informed Neural Operator for Large-Scale 3D PDEs [PDF]
Neural Information Processing Systems, 2023 We propose the geometry-informed neural operator (GINO), a highly efficient approach to learning the solution operator of large-scale partial differential equations with varying geometries.
Zong-Yi Li +10 more
semanticscholar +1 more source