| ISSN | 0749-159X |
| e-ISSN | 1098-2426 |
| DOI | 10.1002/(ISSN)1098-2426 |
Numerical Methods for Partial Differential Equations
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Publisher
John Wiley & Sons, Inc.
Additional information
Data set: Wiley
Articles
article
Numerical Methods for Partial Differential Equations > 40 > 6 > n/a - n/a
As is well known, one of the main challenges in dealing with the time‐fractional diffusion‐wave equation is that the solutions have weak regularity at the initial values. This necessitates the use of nonuniform grids for error analysis. However, the theoretical analysis of nonuniform grids is relatively complex and lacks efficient and stable numerical methods. The main research problem addressed in...
article
Numerical Methods for Partial Differential Equations > 40 > 6 > n/a - n/a
The multilevel fast multipole method (MLFMM) is widely used to accelerate the solutions of acoustic and electromagnetic scattering problems. In the expansions and translation operators of the MLFMM for 3‐D scattering problems, some special functions are used, including spherical Bessel functions, spherical harmonics and Wigner symbol. This makes it difficult to analyze the truncation errors...
article
Numerical Methods for Partial Differential Equations > 40 > 6 > n/a - n/a
We consider the finite element approximation of a coupled fluid‐structure interaction (FSI) system, which comprises a three‐dimensional (3D) Stokes flow and a two‐dimensional (2D) fourth‐order Euler–Bernoulli or Kirchhoff plate. The interaction of these parabolic and hyperbolic partial differential equations (PDE) occurs at the boundary interface which is assumed to be fixed. The vertical displacement...
