= Contact information =
|| '''Address''' || CB 3250 || '''Phone''' || (919)-843-8901 ||
|| || [http://amath.unc.edu Applied Mathematics Program] || '''Fax''' || (919)-962-2568 ||
|| || [http://www.math.unc.edu Department of Mathematics] || '''e-mail''' || mitran@amath.unc.edu ||
|| || [http://www.unc.edu University of North Carolina] || '''Office''' || 307, [http://www.planroom.unc.edu/gis/Mapbody/index.asp?path=detail.asp/q/page=978840 Phillips Hall] ||
|| || [http://www.ci.chapel-hill.nc.us Chapel Hill] || '''Office Hours''' || Mo 12:00-1:00 PM, Tu 12:30-1:45 PM, Th 3:30-4:45 PM (MATH566) ||
|| ||         NC, 27599-3250 || ||  ||

= Teaching =
[[Anchor(Teaching)]]

== Current Courses ==

[http://coanda.amath.unc.edu/scicomp/MATH566_-_Fall_2009 Introduction to Numerical Analysis]

== Previous courses ==
|| 2008/09 || [http://coanda.amath.unc.edu/scicomp/MATH065_-_Fall_2008 Colliding Balls and Springs]   || [http://coanda.amath.unc.edu/scicomp/MATH761_-_Fall_2008 Numerical ODE/PDE II] ||  [http://coanda.amath.unc.edu/scicomp/MATH662_-_Spring_2009 Scientific Computation II] || [http://coanda.amath.unc.edu/scicomp/MATH892_-_Spring_2009 Topics in Computational Mathematics] ||
|| 2007/08 || [http://coanda.amath.unc.edu/scicomp/MATH566_-_Fall_2007 Introduction to Numerical Analysis] ||  [http://coanda.amath.unc.edu/scicomp/MATH524_-_Fall_2007  Elementary Differential Equations] || [http://coanda.amath.unc.edu/scicomp/MATH662_-_Spring_2008 Scientific Computation II] ||

= Research =
[[Anchor(Research)]]
=== Topics & Projects ===
||''Continuum-microscopic simulation'' || [:Fracture:Solid fracture] || [:TurbulenceSuppression:Turbulence & polymers] || Self:Bioconvection ||
||''Continuum-microscopic simulation'' || [:pdfID:Probability Distribution Function Identification] ||  ||  ||
||''Viscoelastic flow'' || [:Shear1D:1D Shear] || [:DoubleProjection:Double projection method] || [:VEboundary:Viscoelastic boundary conditions] ||
||''Adaptive computation'' || [:CartesianAMR:Cartesian AMR] || [:TetrahedralAMR:Tetrahedral AMR] || [:HierarchicalMicro:Hierarchical dynamics] ||
||''Biomechanics'' || [:Cilia:Lung epithelial cilia] || [:Blebbing:Cell apoptosis] || [http://www.amath.unc.edu/faculty/mitran/research/ArterialFlow/ArterialFlow.xhtml Flow-based arterial imaging] ||
||''Fluid-structure interaction'' || [:Metachronal:Lung metachronal wave] || Self:Lithotripsy || ||
||''Music'' || [:MusicTranscription:Automated transcription] || Self:Mbira || ||
||''Geophysical flows'' || [:GravityWaves:Ocean Gravity Waves] || [:HurricaneHRV:Hurricane small structures] || ||
||''Turbulence'' || [:LES:Large Eddy Simulation] || || ||
||''Multiphase flow'' || [:BubblyTurb:Bubbly flow turbulence] || [:PharmaSpray:Pharmaceutical sprays] || ||
||''Stratified flow'' || [:BoussinesqBubble:Boussinesq density bubble] || || ||
||''Rayleigh-Taylor Instability'' || [:NonlinearDiffusion:With nonlinear thermal diffusion] || || ||
||''Channel flows'' || [:EllipticRing:Flow between two ellipses] || || ||


=== Journal, data base links ===

[http://apps.isiknowledge.com/WOS_GeneralSearch_input.do?product=WOS&search_mode=GeneralSearch&SID=1Bbh7COHMCmJa8bOB4h&preferencesSaved= Science Citation Index]

=== Collaborations  and funding ===
|| Astrophysical flows || Virtual Lung Project || Ocean internal gravity waves ||
=== Students ===
|| Jennifer Young || Lingxing Yao || Ke Xu ||
= Software =
[[Anchor(Software)]]
|| [http://coanda.amath.unc.edu/bearclaw/BEARCLAW BEARCLAW] || Self:OCTLES || Self:Cilium ||
= Publications =
== Recent ==
 * Double projection method for incompressible viscoelastic flow
 * Hierarchical dynamics
 * Metachronal waves on ciliated tissue
 * One-dimensional viscoelastic shear waves - applications to microrheology
== Older ==
 * [http://www.amath.unc.edu/Faculty/mitran/published.html#Papers Papers]
 * [http://www.amath.unc.edu/Faculty/mitran/published.html#Books Books & book chapters]