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Structural Analysis in the Problems of Gradient Elasticity
AbstractThe article deals with the problems of gradient elasticity from the viewpoint of structural analysis of the solutions. On the basis of...
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High-dimensional scalar function visualization using principal parameterizations
Insightful visualization of multidimensional scalar fields, in particular parameter spaces, is key to many computational science and engineering...
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Comparison of Methods on a Scalar Model
This chapter aims to demonstrate the impact of some of the critical approximations we apply with different assimilation methods. Using a simple...
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Optimization of the Dirichlet problem for gradient differential inclusions
The paper is devoted to optimization of the gradient differential inclusions (DFIs) on a rectangular area. The discretization method is the main...
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An Adaptive Riemannian Gradient Method Without Function Evaluations
In this paper, we present an adaptive gradient method for the minimization of differentiable functions on Riemannian manifolds. The method is...
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3-D Marine CSEM Modeling in General Anisotropic Media by Using an Adaptive Finite Element Approach Based on the Vector-Scalar Potential
We present three-dimensional (3-D) modeling method of marine controlled-source electromagnetic (CSEM) fields in general anisotropic media using an...
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Multiscale modeling of dislocations: combining peridynamics with gradient elasticity
Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores,...
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Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
In this paper, we investigate the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half...
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Convergence of Hyperbolic Neural Networks Under Riemannian Stochastic Gradient Descent
We prove, under mild conditions, the convergence of a Riemannian gradient descent method for a hyperbolic neural network regression model, both in...
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On Possible Reduction of Gradient Theories of Elasticity
Mindlin–Tupin gradient theories of elasticity are considered, and a procedure is proposed to simplify general models with five moduli of elasticity...
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Robust supervised learning with coordinate gradient descent
This paper considers the problem of supervised learning with linear methods when both features and labels can be corrupted, either in the form of...
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Gauging Potentials: Maxwell, Lorenz, Lorentz and Others on Linking the Electric Scalar and Vector Potentials
The development of tractable relationships for calculating the radiation produced by electric oscillators relied on a particular connection between...
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One-loop matching of CP-odd four-quark operators to the gradient-flow scheme
The translation of experimental limits on the neutron electric dipole moment into constraints on heavy CP -violating physics beyond the Standard Model...
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Flow and passive scalar transfer characteristics around a row of interacting tandem cylinders
Transfer and transport of a passive scalar as well as flow structures of unbounded flow over a row of 2, 3, 4 and 5 equispaced identical cylinders at Re...
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The Existence of Gradient Yamabe Solitons on Spacetimes
The main aim of the present article is to study generalized quasi-Yamabe gradient solitons on warped product manifolds. First, we obtain some...
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Evaluation of a wavelet-based optical flow method for planar velocimetry using scalar fields
AbstractA wavelet-based optical flow velocimetry (wOFV) method is evaluated in the context of determining flow velocity from scalar images. A...
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Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method
In this paper, we conduct an in-depth investigation of the structural intricacies inherent to the Invariant Energy Quadratization (IEQ) method as...
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Polynomials and Their Gradient
The polynomial is a special kind of function, easy to deal with. We start with a polynomial of one independent variable: x. This is an algebraic...
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Effect of Grain Size and Temperature on Scalar Dislocation Density and Curvature–Torsion of the Crystal Lattice in Copper–Manganese Alloys during Plastic Deformation
AbstractThe dependences of the flow stress at different temperatures of homogeneous solid solutions based on Cu–Mn alloys with an fcc crystal lattice...
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Automatic Gradient Estimation for Calibrating Crowd Models with Discrete Decision Making
Recently proposed gradient estimators enable gradient descent over stochastic programs with discrete jumps in the response surface, which are not...