Gil Ariel
Senior Lecturer (a.k.a. assistant Prof.)

Department of Mathemtics
Bar Ilan University

Office: Building 216, Room 203
phone: +972 - 3 - 5318763

fax: +972-3-7384057 (Attn: Gil Ariel)

Email:

Teaching:

Probability and stochastic processes 88-962 (graduate class)

Introduction to statistics

Brief CV

Research:

Multiscale computation

movie: an example of the averaging principle in a mechanical alarm clock. [click here]

• J.M. Sanz-Serna, Gil Ariel and Richard Tsai, Multiscale methods for stiff and constrained mechanical systems, submitted to Journal of Computational Physics [pdf]

• Gil Ariel, Bjorn Engquist and Richard Tsai, A multiscale method for weakly coupled oscillators, Multiscale Modeling and Simulations 7, 1387-1404 (2009) [pdf]

• Gil Ariel, Bjorn Engquis, Heinz-Otto Kreiss and Richard Tsai, Numerical methods for highly oscillatory ordinary differential equations, In Lecture Notes in Computational Science and Engineering 66, Bjorn Engquist, Per Lotstedt and Olof Runborg, editors, Springer (2008).

• Gil Ariel, Bjorn Engquist and Richard Tsai, A multiscale method for stiff ordinary differential equations with resonance, Math. Comp 78, 929-956 (2009). [pdf]

• Gil Ariel and Eric Vanden-Eijnden, Accelerated simulation of a hard sphere in a gas of elastic spheres, Multiscale Modeling and Simulations 7, 349 (2008). [pdf]

Applications in probability theory

• Gil Ariel and Eric Vanden-Eijnden, A strong limit theorem in the Kac-Zwanzig model, Nonlinearity 22, 145 (2009). [pdf]

• Gil Ariel and Eric Vanden-Eijnden, Testing transition state theory on Kac-Zwanzig model, The Journal of Statistical Physics 126, 43 (2007). [pdf]

Soft matter physics and biophysics

• Yoram Burak, Gil Ariel and David Andelman, Competition between condensation of monovalent and multivalent ions in DNA aggregation, Current Opinion in Colloid and Interface Science 9, 53 (2004). [pdf]

• Yoram Burak, Gil Ariel and David Andelman, Onset of DNA aggregation in presence of monovalent and multivalent counterions, Biophysical Journal 85, 2100 (2003). [pdf]

• Gil Ariel and David Andelman, Persistence length of a strongly charged rodlike polyelectrolyte in the presence of salt, Physical Review E 67, Art. 011805 (2003). [pdf]

• Gil Ariel and David Andelman, Polyelectrolyte persistence length: attractive effect of counterion correlations and fluctuations, Europhysical Letters 61, 67 (2003). [pdf]

• Haim Diamant, Gil Ariel and David Andelman, Kinetics of surfactant adsorption: The free energy approach, Colloids and Surfaces A: Physiochemichal and engineering aspects 183-185, 259 (2001). [pdf]

• Gil Ariel, Haim Diamant and David Andelmam, Kinetics of surfactant adsorption at fluid-fluid interfaces: Surfactant mixtures, Langmuir 15, 3574 (1999). [pdf]

Guy, Mia and Noam: