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Advances in Applied Mathematics and Mechanics is a peer-reviewed journal published by Cambridge University Press, covering Advanced Numerical Methods in Computational Mathematics, Numerical methods in engineering, Computational Fluid Dynamics and Aerodynamics.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Advances in Applied Mathematics and Mechanics 12 (2023) 45–58.
Formats any DOI in the closest standard style — Advances in Applied Mathematics and Mechanics has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Numerical Methods in Computational Mathematics Numerical methods in engineering Computational Fluid Dynamics and Aerodynamics Differential Equations and Numerical Methods Numerical methods for differential equations |
| ISSN | 2070-0733 |
| Citation impact (2-yr) | 0.95 |
| h-index | 35 |
| i10-index | 216 |
| Total citations | 7,771 |
| Top institutions publishing here | Xiangtan University |
| Journal website | journals.cambridge.org |
| 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.
Abstract There are a number of interesting applications where modeling elastic and/or viscoelastic materials is fundamental, including uses in civil engineering, the food industry, land mine detection and ultrasonic imaging. Here we provide an overview of the subject for both elastic and viscoelastic materials in order to understand the behavior of these materials. We begin…
Abstract A lattice Boltzmann flux solver (LBFS) is presented in this work for simulation of incompressible viscous and inviscid flows. The new solver is based on Chapman-Enskog expansion analysis, which is the bridge to link Navier-Stokes (N-S) equations and lattice Boltzmann equation (LBE). The macroscopic differential equations are discretized by the finite volume method, where…
Abstract We present the finite difference/element method for a two-dimensional modified fractional diffusion equation. The analysis is carried out first for the time semi-discrete scheme, and then for the full discrete scheme. The time discretization is based on the L 1-approximation for the fractional derivative terms and the second-order backward differentiation formula for the classical…
We review recent developments in lattice Boltzmann method for reacting flows in porous media. We present the lattice Boltzmann approaches for incompressible flow, solute transport and chemical reactions in both the pore space and at the fluid/solid interfaces. We discuss in detail the methods to update solid phase when significant mass transfer between solids and…
