CRAMS (Center of Research in Applied Mathematics and Statistics)
CRAMS (Its history, mission, achievements, future goals):
AUL Center for Research in Applied Mathematics and Statistics "CRAMS” was established in 2002 as an international interdisciplinary research center dedicated to supporting cooperative applied research in the mathematical and statistical sciences.
The main activities of CRAMS are
theoretical and computational studies of
deterministic and stochastic processes which model real-life problems or
have a potential for doing so. These
include differential and integral equations, SDE’s and SIE’s (basically
nonlinear). And to develop new numerical
methods for solving such problems. New
methodologies include e.g. wavelets and frames, Markov-chain Monte Carlo
methods, spatio-temporal techniques, neural networks methods, etc.
As its first International research activity, CRAMS hosted in 2005 the International Symposium on Applied Non-harmonic Fourier Analysis at AUL, Lebanon. A Symposium organized in honor of the Riemann-Lebesgue Lemma Centennial.Professor Nassar Haidar, who is the head of the center, is also the Managing Editor of the Journal of Numerical Mathematics and Stochastics: http://www.jnmas.org.
Director of CRAMS participating in ICNFAA-2004, at Kyungnam University, South Korea
CRAMS-05 International Symposium on Applied Non-harmonic Fourier Analysis, in 2005 at AULUpper L: CRAMS-05 Scientific Committee, headed by H. G. Feichtinger;
Lower R: Granting N. H. S. Haidar a medal of the President of the Lebanon
At the plenary session of the CRAMS-05 Symposium
L: Seminar at CRAMS; R: Seminar at the African Institute for Mathematical Sciences AIMS in Dakar
Some of CRAMS publications:
N. H. S. Haidar, An amplitude spectral tonometer, Computers & Mathematics with Applications, 46 (5-6) : 959-969, 2003.
Nassar H.S. HAIDAR, Adnan M. HAMZEH, Soumaya M. HAMZEH and Edward El-NAKAT, On martingales invoked by stochastic exponential and monomial densities, Random Operators and Stochastic Equations, Vol. 12, No. 4, 349–360, 2004.
Nassar H. S. Haidar, Adnan M. Hamzeh and Soumaya M. Hamzeh, DECOMPOSITION PRINCIPLE FOR THE
RECIPROCAL OF THE FACTORIAL, Applied Mathematics E-Notes, 5, 44-51, 2005.
Haidar, N.H.S., Hamzeh, A. M. and Hamzeh S. M. Comparative stationarity of stochastic exponential and monomial densities. Random Operators & Stochastic Equations, 14 (4) : 303-310, 2006.
NASSAR H. S. HAIDAR, A scale-frequency harmonic series, Integral Transforms and Special Functions, Vol. 17, No. 4, 275–283, 2006.
Haidar , N.H.S. On a symmetrized definite integration, Applied Mathematics & Computation,186, 70-73, 2007.
Nassar H. S. Haidar, Real analysis proofs for the double Parametrized Riemann-Lebesgue Lemma, International Journal of Mathematics and Computer Science, 2, no. 4, 327–332, 2007.
Nassar H. S. Haidar, Closed Divisibility of Integer Sequences under Summation of Digits, International Mathematical Forum, 3, no. 25, 1229 – 1232, 2008.
N. H. S. Haidar, A. M. Hamzeh and S. M. Hamzeh, Comparative Stationarity of stochastic exponential and monomial densities and related nonlinear approximations, Nonlinear Functional Analysis and Applications, 1, 165–173, 2009.
N. H. S. Haidar, Oscillatory spherical travelling-wave-type solutions to the cardiac BVP, Numerical Functional Analysis and Optimization, 30 (7–8),751–772, 2009.
N. H. S. HAIDAR, On a Randomized Romberg Integration Method, Journal of Numerical Mathematics and Stochastics,1 (1) : 11-23, 2009.
N. H. S. Haidar, On the Riemann-Lebesgue lemma with a nonharmonic kernel, Journal of Mathematical Sciences: Advances and Applications, 4(1), 9-26, 2010.
Haidar, N.H.S. A geometric note on integration, Computers & Mathematics with Applications, 59 (9), 3130-3136, 2010.
N. H. S. Haidar, Applied scale-frequency analysis, Advances and Applications in Mathematical Sciences, 7(2), 141-175, 2010.Haidar, N.H.S. On a finite asymptotic integral transform. J. Inv. & Ill-posed Problems, 19, 429-451, 2011.