Gil Ariel
Instructor, R.H. Bing
Fellow
Department of
Mathematics
University of
Texas
Address:
Office: RLM 11.164
1 University Station, C1200
Austin TX, 78712
(512) 471-1167
Email:
Teaching:
Fall 07: M325K – discrete mathematics
CV (updated October 07).
Research:
Multiscale computation
movie: an example of the averaging principle in a mechanical alarm clock. [click here]
Gil Ariel, Bjorn Engquist and Richard Tsai, A multiscale method for weakly coupled oscillators, submitted to Multiscale Modeling and Simulations. [pdf]
Gil Ariel, Bjorn Engquist and Richard Tsai, A multiscale method for stiff ordinary differential equations with resonance, submitted to Mathematics of Computation. [pdf]
Gil Ariel and Eric Vanden-Eijnden, Accelerated simulation of a hard sphere in a gas of elastic spheres, submitted to Multiscale Modeling and Simulations. [pdf]
Applications of probability theory
Gil Ariel and Eric Vanden-Eijnden, A strong limit theorem in Kac-Zwanzig model, submitted to Communications in Mathematical Physics. [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:
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