Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Paul Andries Zegeling"'
Autor:
Paul Andries Zegeling, André Zegeling
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 49, Pp 1-38 (2021)
We study the solutions to the following Dirichlet boundary problem: \begin{equation*}\frac{d^2x(t)}{dt^2}+\lambda f(x(t))=0,\end{equation*} where $x \in \mathbb{R}$, $t \in \mathbb{R}$, $\lambda \in \mathbb{R}^+$, with boundary conditions: \begin{equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8738571087c156f5d1269cc224af6f61
https://doi.org/10.14232/ejqtde.2021.1.49
https://doi.org/10.14232/ejqtde.2021.1.49
Autor:
Paul Andries Zegeling
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030767976
In this paper, the importance of both the analysis and computation is emphasized, in relation to a bifurcation problem in a non-equilibrium Richard’s equation from hydrology. The extension of this PDE model for the water saturation S, to take into
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f89dc5214c4b45dc328213a3ebe02af
https://doi.org/10.1007/978-3-030-76798-3_11
https://doi.org/10.1007/978-3-030-76798-3_11
Autor:
Sehar Iqbal, Paul Andries Zegeling
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030234355
In this paper, a sixth order adaptive non-uniform grid has been developed for solving a singularly perturbed boundary-value problem (SPBVP) with boundary layers. For this SPBVP with a small parameter in the leading derivative, an adaptive finite diff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::122ae4e95055726d0f0e6dca97b5f2dd
https://doi.org/10.1007/978-3-030-23436-2_8
https://doi.org/10.1007/978-3-030-23436-2_8
Publikováno v:
Bulletin of Mathematical Biology
Bulletin of Mathematical Biology, 71(2), 399-429. Springer New York
Bulletin of Mathematical Biology, 71(2), 399-429. Springer New York
Consider a patch of favorable habitat surrounded by unfavorable habitat and assume that due to a shifting climate, the patch moves with a fixed speed in a one-dimensional universe. Let the patch be inhabited by a population of individuals that reprod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f81af3207abd6f427e680dafe9f14dc2
https://doi.org/10.1007/s11538-008-9367-5
https://doi.org/10.1007/s11538-008-9367-5
Autor:
A. van Dam, Paul Andries Zegeling
Publikováno v:
Journal of Computational Physics. 216:526-546
In this paper we describe a one-dimensional adaptive moving mesh method and its application to hyperbolic conservation laws from magnetohydrodynamics (MHD). The method is robust, because it employs automatic control of mesh adaptation when a new mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5ddee22f7dbca27b376c5cdf4f2f064
https://doi.org/10.1016/j.jcp.2005.12.014
https://doi.org/10.1016/j.jcp.2005.12.014
Autor:
Paul Andries Zegeling
Publikováno v:
Journal of Scientific Computing. 24:263-284
In this paper we describe an adaptive moving mesh technique and its application to convection-diffusion models from magnetohydrodynamics (MHD). The method is based on a coordinate transformation between physical and computational coordinates. The tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::016f451ff267e1a013c7439ea3601b1b
https://doi.org/10.1007/s10915-004-4618-6
https://doi.org/10.1007/s10915-004-4618-6
Publikováno v:
Journal of Computational and Applied Mathematics. 168(1-2):413-423
In this study, we consider partial differential equation problems describing nonlinear wave phenomena, e.g., a fully nonlinear third order Korteweg-de Vries (KdV) equation, the fourth order Boussinesq equation, the fifth order Kaup–Kupershmidt equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c7a92cd2a3573340b99389b64c2c4cc
Autor:
H. P. Kok, Paul Andries Zegeling
Publikováno v:
Journal of Computational and Applied Mathematics. 168(1-2):519-528
In this paper we describe an adaptive moving mesh technique and its application to reaction–diffusion models from chemistry. The method is based on a coordinate transformation between physical and computational coordinates. The transformation can b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e339198e62af8696b0eb2cd8857f069
Autor:
Paul Andries Zegeling
Publikováno v:
Journal of Computational and Applied Mathematics. 166:343-360
In this paper we discuss a two-dimensional adaptive grid method that is based on a tensor-product approach. Adaptive grids are a commonly used tool for increasing the accuracy and reducing computational costs when solving both partial differential eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c13c9f610d16fe4e02f7e9cbe2850672
https://doi.org/10.1016/j.cam.2003.09.018
https://doi.org/10.1016/j.cam.2003.09.018
Publikováno v:
Nonlinear Dynamics. 21:31-53
We continue work by the second author and co-workers onsolitary wave solutions of nonlinear beam equations and their stabilityand interaction properties. The equations are partial differentialequations that are fourth-order in space and second-order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::366bb562acfd9aaa85ca7d8524802f85
https://doi.org/10.1023/a:1008302207311
https://doi.org/10.1023/a:1008302207311