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Numerical Methods for Partial Differential Equations is a peer-reviewed journal published by Wiley, covering Advanced Numerical Methods in Computational Mathematics, Differential Equations and Numerical Methods, Numerical methods in engineering. Over its lifetime it has published 3,394 papers, which have received 55,723 citations.
| Publisher | Wiley |
|---|---|
| Reference style | Author–year (Chicago) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." Numerical Methods for Partial Differential Equations 12 (3): 45–58.
Formats any DOI in Numerical Methods for Partial Differential Equations style. No sign-up. |
| Publishes research in | Advanced Numerical Methods in Computational Mathematics Differential Equations and Numerical Methods Numerical methods in engineering Numerical methods for differential equations Advanced Mathematical Modeling in Engineering |
| ISSN | 0749-159X |
| Citation impact (2-yr) | 0.8 |
| h-index | 88 |
| i10-index | 1,371 |
| Article processing charge | $3,400 |
| Top institutions publishing here | Shandong University |
| Journal website | onlinelibrary.wiley.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.
In this article a theoretical framework for the Galerkin finite element approximation to the steady state fractional advection dispersion equation is presented. Appropriate fractional derivative spaces are defined and shown to be equivalent to the usual fractional dimension Sobolev spaces Hs. Existence and uniqueness results are proven, and error estimates for the Galerkin approximation derived.…
In this article, the homotopy analysis method is applied to solve nonlinear fractional partial differential equations. On the basis of the homotopy analysis method, a scheme is developed to obtain the approximate solution of the fractional KdV, K(2,2), Burgers, BBM-Burgers, cubic Boussinesq, coupled KdV, and Boussinesq-like B(m,n) equations with initial conditions, which are introduced by…
Abstract A simple nonconforming quadrilateral Stokes element based on “rotated” multi‐linear shape functions is analyzed. On strongly nonuniform meshes the usual parametric version of this element suffers from a lack of consistency, while its nonparametric counterpart turns out to be convergent with optimal orders. This theoretical result is confirmed by numerical tests.
A new methodology to build discrete models of boundary-value problems is presented. The h-p cloud method is applicable to arbitrary domains and employs only a scattered set of nodes to build approximate solutions to BVPs. This new method uses radial basis functions of varying size of supports and with polynomial-reproducing properties of arbitrary order. The…
Abstract We report here on our numerical study of the two‐dimensional Riemann problem for the compressible Euler equations. Compared with the relatively simple 1‐D configurations, the 2‐D case consists of a plethora of geometric wave patterns that pose a computational challenge for high‐resolution methods. The main feature in the present computations of these 2‐D waves…
