




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 reallife 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, Markovchain Monte Carlo
methods, spatiotemporal techniques, neural networks methods, etc. As its first International research activity, CRAMS hosted in 2005 the International Symposium on Applied Nonharmonic Fourier Analysis at AUL, Lebanon. A Symposium organized in honor of the RiemannLebesgue 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 ICNFAA2004, at Kyungnam University, South Korea CRAMS05 International Symposium on Applied Nonharmonic Fourier Analysis, in 2005 at AUL Upper L: CRAMS05 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 CRAMS05 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 (56) : 959969, 2003. Nassar H.S. HAIDAR, Adnan M. HAMZEH, Soumaya M. HAMZEH and Edward ElNAKAT, 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 ENotes, 5, 4451, 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) : 303310, 2006. NASSAR H. S. HAIDAR, A scalefrequency 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, 7073, 2007. Nassar H. S. Haidar, Real analysis proofs for the double Parametrized RiemannLebesgue 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 travellingwavetype 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) : 1123, 2009. N. H. S. Haidar, On the RiemannLebesgue lemma with a nonharmonic kernel, Journal of Mathematical Sciences: Advances and Applications, 4(1), 926, 2010. Haidar, N.H.S. A geometric note on integration, Computers & Mathematics with Applications, 59 (9), 31303136, 2010. N. H. S. Haidar, Applied scalefrequency analysis, Advances and Applications in Mathematical Sciences, 7(2), 141175, 2010. Haidar, N.H.S. On a finite asymptotic integral transform. J. Inv. & Illposed Problems, 19, 429451, 2011. 

