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Analysis and Applications is a peer-reviewed journal published by World Scientific, covering Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Advanced Mathematical Physics Problems.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Analysis and Applications 12, 45–58 (2023).
Formats any DOI in the closest standard style — Analysis and Applications has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Numerical methods in inverse problems Mathematical functions and polynomials |
| ISSN | 0219-5305 |
| Citation impact (2-yr) | 1.23 |
| h-index | 42 |
| i10-index | 254 |
| Total citations | 9,726 |
| Top institutions publishing here | City University of Hong Kong |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Citations each year’s papers have accumulated so far — the most recent years are still building up.
This paper is devoted to the continuation of solutions to the Camassa–Holm equation after wave breaking. By introducing a new set of independent and dependent variables, the evolution problem is rewritten as a semilinear hyperbolic system in an L ∞ space, containing a non-local source term which is discontinuous but has bounded directional variation. For…
Parametric partial differential equations are commonly used to model physical systems. They also arise when Wiener chaos expansions are used as an alternative to Monte Carlo when solving stochastic elliptic problems. This paper considers a model class of second order, linear, parametric, elliptic PDE's in a bounded domain D with coefficients depending on possibly countably…
The paper briefly reviews several recent results on hierarchical architectures for learning from examples, that may formally explain the conditions under which Deep Convolutional Neural Networks perform much better in function approximation problems than shallow, one-hidden layer architectures. The paper announces new results for a non-smooth activation function — the ReLU function — used in…
Let B be a Banach space and (ℋ,‖·‖ ℋ ) be a dense, imbedded subspace. For a ∈ B, its distance to the ball of ℋ with radius R (denoted as I(a, R)) tends to zero when R tends to infinity. We are interested in the rate of this convergence. This approximation problem arose from…
We characterize the reproducing kernel Hilbert spaces whose elements are p-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for p = 2, we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel, extending the Mercer theorem.
