Paul Andries Zegeling

Name     : Paul Andries Zegeling (Associate Professor)
Dept.    : Mathematics
           Utrecht University
           the Netherlands
Address  : Hans Freudenthal Building (room 513), Budapestlaan 6, De Uithof
Email    : P.A.Zegeling AT uu DOT nl
Phone    : 030-2533720
profielpagina

My H(irsch)-index = 24 (via google scholar citations)

Here you can find an explanation of this number.

My i10-index = 36 (via google scholar citations)

Here is an explanation of this number.

==> see also this page.

Z(egeling)-numbers = 0, 4 AND 6
K(aplan)-number = Z
E(instein)-number = 5
G(auss)-number = 7
N(ewton)-number = oo

RESEARCH:

My research interests are

numerical methods for ordinary and partial differential equations in general
adaptive-grid methods and grid generation techniques
moving-grid (r-refinement) methods in particular
reaction-diffusion systems from chemistry, biology, pharmacy, archaeology(!), ...
PDE models with solitons or (solitary) wave solutions (>= 4th-order spatial derivatives)
boundary and internal layers, singular perturbations, asymptotics
travelling wave analysis in time-dependent PDEs
magneto-hydrodynamics and applications in astrophysics and plasmaphysics
fractional boundary value- and initial value- problems
models from hydrology; especially multiple phase flows and dynamic capillary effects
stability analysis using the Evans function

PROJECTS:

CWI/Shell project on Adaptive Grids: NWO-STW Project CWI 59.0922 (1987-1992)
Massive Parallel Computing Cluster Project (1996-2000)
Rapid Changes in Complex Flows (2001-2003)
Basic Research in Informatics for Creating the Knowledge Society (2004-2009): BRICKS
NWO-EW (wiskunde-toegepast): PhD-student A. van Dam (2004-2009), Adaptive moving grids for hyperbolic conservation laws
PhD-thesis: Go with the flow, moving meshes and solution monitoring for compressible flow simulation; defense: 1-7-2009.
CSC-UU (three months): PhD-student G. Hu (2008), Simulating finger phenomena in porous media with moving finite elements
NUPUS (2007-2017), Non-linearities and upscaling in porous media: travelling waves and non-monotonicity; non-equilibrium PDEs
Grant via Turkish Government: PhD-student I. Ates (2011-2017)
PhD-thesis: Homotopy-based methods for fractional differential equations; defense: 30-8-2017.
NDNS+ (with Sorin Pop, TUE and Majid Hassanizadeh, UU): Postdoc S. Nemadjieu (2012-2014)
NeqFlow: a mathematical and numerical investigation of nonequilibrium effects in porous media flows
CSC-UU: PhD-student H. Zhou (2013-2017)
PhD-thesis: Numerical approximation of time-fractional differential equations; defense: 16-10-2017.
SFB 1313 Sonderforschungsbereich 1313: Interface-Driven Multi-field Processes in Porous Media -- Flow, Transport and Deformation (2018-now)
CSC-UU: PhD-student H. Zhang (2015-2019)
PhD-thesis: Modeling and simulation of non-monotonic waves in two-phase flow; defense: 17-9-2018.
Grant via Schlumberger foundation: PhD-student S. Iqbal (2015-2019)
PhD-thesis: Numerical methods for nonlinear elliptic boundary value problems with parameter dependence; defense: 20-1-2020.
CSC-UU: PhD-student P. Yuan (2022-2026)
PhD-project: Detecting patterns in space-time fractional partial differential equations via adaptive mesh methods.
CSC-UU: PhD-student D. Cao (2024-2026)
Project: Moving mesh methods for finite-time blow-up problems in Caputo-Hadamard fractional evolution equations.