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A tensor product approach to non-local differential complexes
We study differential complexes of Kolmogorov–Alexander–Spanier type on metric measure spaces associated with unbounded non-local operators, such as...
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Prediction Model of Mass Rapid Transit Noise Level Using the Stepwise Regression Analysis
Nowadays, rail transport is one of the most important transport modes chosen by Malaysians. However, the noise pollution caused by the railway causes...
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Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form
Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However,...
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Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations
A new energy and enstrophy conserving scheme (EEC) for the shallow water equations is proposed and evaluated using a suite of test cases over the...
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Nuclear Embeddings of Morrey Sequence Spaces and Smoothness Morrey Spaces
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded...
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Quantum difference equation for Nakajima varieties
For an arbitrary Nakajima quiver variety X , we construct an analog of the quantum dynamical Weyl group acting in its equivariant K-theory. The...
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Two Textbooks on Vector Analysis: Gibbs and Runge
The goal of this work is to do a critical analysis and comparative study of two textbooks on vector analysis: One written in 1901 in the United...
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Scalar curvature rigidity of convex polytopes
We prove a scalar curvature rigidity theorem for convex polytopes. The proof uses the Fredholm theory for Dirac operators on manifolds with boundary....
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Morrey smoothness spaces: A new approach
In the recent years, the so-called Morrey smoothness spaces attracted a lot of interest. They can (also) be understood as generalisations of the...
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Fourier coefficients of restrictions of eigenfunctions
Let { e j } be an orthonormal basis of Laplace eigenfunctions of a compact Riemannian manifold ( M, g ). Let H ⊂ M be a submanifold and { ψ k } be an...
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Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition
POD-DL-ROMs have been recently proposed as an extremely versatile strategy to build accurate and reliable reduced order models (ROMs) for nonlinear...
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Constant slope models and perturbation
We sharpen an estimate for the growth rate of preimages of a point under a transitive piecewise monotone interval map. Then we apply our estimate to...
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Global Well-Posedness with Loss of Regularity for a Class of Singular Hyperbolic Cauchy Problems
The goal of this paper is to summarize global well-posedness results for a class of strictly hyperbolic Cauchy problems with coefficients in...
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Quantum Systems at the Brink
We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger operators that also works at the threshold of the essential...
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Ranking methodology of irrigation problems based on Pythagorean trapezoidal fuzzy aggregations operators
This paper focuses on the study of different types of irrigation techniques based on fuzzy aggregation operators. Irrigation has been a vital...
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Analysis of a debonding model of two elastic 2D-bars
This work establishes the existence of a weak solution to a new model for the process of debonding of two elastic 2D-bars caused by humidity and...
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Geometric Hermite interpolation in \(\mathbb {R}^{n}\) by refinements
We describe a general approach for constructing a broad class of operators approximating high-dimensional curves based on geometric Hermite data. The...
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Operator inequalities related to the arithmetic–geometric mean inequality and characterizations
In this survey, we shall present the characterizations of some distinguished classes of bounded linear operators acting on a complex separable...
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Simulations of Crystal Growth Using Lattice Boltzmann Formulation
Crystallization is widely applied in many industrial applications, in particular for chemical engineering and pharmaceutical products. This project...