Skip to main content
x

Basanta Pahari

Position, Department

Instructor
Math and Natural Sciences

Contact Information

396 #6, Hawaii Community College
1175 Manono Street
Hilo, Hawaii 96720
Email address: basanta@hawaii.edu

Courses Taught

  • Math 75X: Intro to Math Reasoning
  • Math 100: Survey of Mathematics
  • Math 103: Intro to College Algebra
  • Math 115: Statistics

Research

Journal Publication

  • Pahari, B., Stanisauskis, E., Mashayekhi, S., & Oates, W. S. (2023). An Entropy Dynamics Approach for Deriving and Applying Fractal and Fractional Order Viscoelasticity to Elastomers. Journal of Applied Mechanics, 1-17.https://doi.org/10.1115/1.4062389 .
  • Stanisauskis, E., Mashayekhi, S., Pahari, B., Mehnert, M., Steinmann, P., & Oates, W. (2022). Fractional and fractal order effects in soft elastomers: Strain rate and temperature dependent nonlinear mechanics. Mechanics of Materials, 172, 104390.
  • Ronald H.W. Hoppe, Basanta R. Pahari, James J. Winkle, Space-time adaptive splitting scheme for the numerical simulation of polycrystallization, Journal of Computational and Applied Mathematics(2021)https://doi.org/10.1016/j.cam.2021.113882 .
  • Ronald H.W. Hoppe, Basanta R. Pahari, James J. Winkle, Numerical simulation of the formation of spherulites in polycrystalline binary mixtures,Applied Numerical Mathematics, 2021, ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2021.03.018
  • G.R. Easley, K. Guo, D. Labate, B. R. Pahari. Optimally sparse representation of cartoon-like cylindrical data. The Journal of Geometric Analysis (2020).doi.org/10.1007/s12220-020-00493-0
  • Bodmann, B.G., Labate, D. & Pahari, B.R. Smoothprojections and the construction of smooth Parseval frames of shearlets. Adv Comput Math 45, 3241-3264 (2019). doi:10.1007/s10444-019-09736-3

Book Chapter

  • Labate D., Pahari B.R., Hoteit S., Mecati M. (2020) Quantitative Methods in Ocular Fundus Imaging: Analysis of Retinal Microvasculature. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkh¨auser, Cham.doi.org/10.1007/978-3-03056005-8 9 .

Professional Activities

Conference Proceedings

  • Pahari, B. R., Ogunlana, O., & Oates, W. S. (2023, April). Game theoretic simulations and entropy dynamics framework for modeling complex material interactions. In Behavior and Mechanics of Multifunctional Materials XVII (Vol. 12484, pp. 33-40). SPIE.https://doi.org/10.1117/12.2658399 .
  • Carvajal, M. A., Pahari, B. R., & Oates, W. (2023, April). Finite difference modeling of heat diffusion on diffusion-limited aggregation generated fractal structures. In Behavior and Mechanics of Multifunctional Materials XVII (Vol. 12484, pp. 41-50). SPIE.https://doi.org/10.1117/12.2658500 .
  • Ramesh, D., Stanisauskis, E., Consoliver-Zack, J., Pahari, B. R., & Oates, W. S. Characterization and Uncertainty Analysis of Heat Transport in 3D Printed Multifractal Media. In Smart Materials, Adaptive Structures and Intelligent Systems (Vol. 86274, p. V001T02A004). American Society of Mechanical Engineers(2022, September).
  • Basanta Raj Pahari and William Oates. Renyi entropy and fractional order mechanics for predicting complex mechanics of materials. Proc. SPIE 12044, Behavior and Mechanics of Multifunctional Materials XVI, 1204408 (20 April 2022);
  • William Oates, Eugenia Stanisaukis, Basanta R. Pahari, and Somayeh Mashayekhi. Entropy dynamics approach to fractional order mechanics with application to elastomers. Proc. SPIE 11589, Behavior and Mechanics of Multifunctional Materials XV, 1158905 (22 March 2021)https://doi.org/10.1117/12.2582423

Scholarly Activities

  • Invited colloquium speaker at the Department of Scientific Computing, Florida State University (2021) Topic : An Optimally Sparse Representation of Cylindrical 3-D Data using Shearlets.
  • Conference presentations at Smart Structure and Nondestructive Evaluations, SPIE, the International Society For Optics and Photonics, Long Beach, California (2022 and 2023).
    Related Topics: Entropy dynamics, Bayesian Inference, Molecular Dynamics.
  • Conference presentation at ASME’s Premier Conference on Smart Materials, Adaptive Structures, and Intelligent Systems (SMASIS), Austin, TX 2023. 
    Topic: Multifractal Behavior and Material Complexity in Functional Materials.
  • Poster Presentation at Quantum Science & Engineering Symposium at Florida State University, April 6-8, 2023. 
    Topic: Quantum search algorithms based on smooth operators.