Definitive test of the instable version of the old web-page of
Dr. Vasile Gradinaru


[Carreer] [Research][Publications] [Teaching]
 


The actual permanent test of the instable version of the web-page is now to be found here.



   

Carreer

o 04/2003-07/2008: Assistant Professor (Wissenschaftlicher Assistenten C1; temporary position) at the Mathematics Institute at the University of Tübingen, member of the Numerical Analysis Groups
o
july 2002: PhD in Mathematics, awarded by the Fakultät für Mathematik, Universität Tübingen.
                 Subject of thesis: "Whitney Elements on Sparse Grids"
o 1998-2002: assistant researcher in SFB 382.
o Assistant researcher (Wissenschaftlicher Mitarbeiter) at the mathematics department of Universität Augsburg as a member of the group of Prof. Dr. R.H.W. Hoppe at the Lehrstuhl für Angewandte Mathematik 
o 1997-1998: Employee of FORTWIHR (Bavarian Consortium for High Performance Computing). Involved in the activity "Numerical simulation of semiconductors and electrical circuits". 
o 1997: Diplom  in mathematics, subject  partial differential equations, acquired at the "Al.I. Cuza"-University of Iasi

 
 

Research interests:

o Scientific computing for high-dimensional and multi-scale problems.
o Numerical methods for quantum dynamics.
o Spectral methods, particulary on unbounded domains.
o Sparse grids.
oMixed finite element schemes, in particular edge elements.
oComputational electromagnetism.



 
 

Movies on the TDSE based on Hagedorn-wavepackets (splitting method in time, Galerkin pseudospectral in space, full grid Gauss-quadrature on unbounded domain):
Potential: 1- cos(x) + 1 - cos(y), same, but initial value with random angular momentum, double well

Hagedorn-wavepakets: 365, 100, tensor product, animation of the day

Movies on the TDSE with harmonic potential solved with a spectral Galerkin Gauss-Hermite method:
1D with frequencies: pure Gaussian intial value, Gauss-Hermite intial value
full 2D: abs with projection, contour plot

Some components of OLD posters:
Strang Splitting and Sparse Fourier Basis for the TDSE
,
Discrete Differential Forms on Sparse Grids
,
Construction of Discrete Differential Forms

Other stuff:
A very instructive page on sparse grids
A collection of consequences of bad scientific computing



 
 
Books

Publications
              Journal Articles and Preprints

  1. Vasile Gradinaru, George Hagedorn and Alain Joye, Tunneling dynamics and spawning with adaptive semiclassical wave packets, J. Chem. Phys. 132, 184108 (2010); doi:10.1063/1.3429607 JCP link
  2. Vasile Gradinaru, George Hagedorn and Alain Joye, Accurate Semiclassical Tunneling Wave Functions in One Dimension, to appear in Journal of Physics A JPA link
  3. Erwan Faou, Vasile Gradinaru, Christian Lubich, Computing semi-classical quantum dynamics with Hagedorn wavepackets, SIAM J. Sci. Comp. 31 (2009), 3027-3041. SISC link
  4. Erwan Faou, Vasile Gradinaru, Gauss-Hermite wavepacket dynamics: convergence of the spectral and pseudo-spectral approximation, IMA Journal of Numerical Analysis 2008; doi: 10.1093/imanum/drn041.
  5. V. Gradinaru:  Fourier Transform on Sparse Grids: Code Design and Application to the Time Dependent Schrödinger Equation on Sparse Grids, Computing, 80 (2007): Springer link
  6. V. Gradinaru:  Strang Splitting for the Time Dependent Schrödinger Equation on Sparse Grids , SIAM  Journal of Numerical Analysis, Vol.46, No.1: SINUM link (on line first 20 December 2007)

  7. V. Gradinaru:   Whitney Elements on Sparse Grids, PhD, published online in TOBIAS-lib (also available as compressed ps-file here or as pdf here )
  8. V. Gradinaru, R. Hiptmair: Multigrid for Discrete Differential Forms on Sparse Grids, Computing, 71 (2003)
  9. V. Gradinaru, R. Hiptmair: Mixed Finite Elements on Sparse Grids,  Numerische Mathematik , 93 (2003)
  10.  V. Gradinaru, R. Hiptmair:   "Whitney Forms on Sparse Grids"  , Report 153 (compressed PostScript) , SFB 382, Universität Tübingen, April 2000
  11.  V. Gradinaru, R. Hiptmair: "Whitney Elements on Pyramids", ETNA, Vol.8 (1999), pp.154-168

  12. St. Dürndorfer,V. Gradinaru, R.H.W. Hoppe, E.-R. König, G. Schrag, G. Wachutka : Numerical Simulation of Microstructured Semiconductor Devices, Transducers and Systems, Proceedings of ``International FORTWIHR-Symposium'', Munich, March 1998 (Durst, F. and Zenger, Chr.; eds.), Springer, Berlin-Heidelberg-New York, 1998

  13. Gh. Morosanu, P. Georgescu, V. Gradinaru: The Fourier Method for Abstract Differential Equations and Applications, Communications in Applied Analysis, Band 3, 1999, N 0 2, 1999, 173-188
  14. V. Gradinaru :La Méthode de Fourier pour des Equations Abstraites , Annales Mathématiqus Blaise Pascal, Band 3,N0 2 , 1996, 111-116




''We have a habit in writing articles published in scientific journals to make the work as finished as possible,to cover up all the tracks, to not worry about the blind alleys or describe how you had the wrong idea first,and so on. So there isn't any place to publish, in a dignified manner, what you actually did in order to get to do the work.'' - Richard Phillips Feynman




   

Teaching

The goal of effective science education is to help students to understand why certain analogies, mental models, or schemas are now considered to be the most appropriate for understanding a given phenomenon or set of phenomena. This state of affaires - an enhanced understanding - can come to pass only if the students become familiar with the new models, understand the reasons for them, perceive why they are more appropriate than the older, competing ones, which may well have retained their attractiveness, and are then able to draw upon them when they encounter a new problem, puzzle, or phenomenon.

Courses and seminars in WS 07/08: