Vrushali A Bokil: Publications Page

My Google Scholar Page

Edited Issues

  1. Associate Editor, Special Section on Complex Time Domain Electromagnetics, IEEE Journal on Multiscale and Multiphysics Computational Techniques Co-Editors: Fengyan Li (RPI) and Fernando Teixeira (Ohio State University), 2019.

  2. Co-Editor, Special Issue in Journal of Computational Science on Finite Difference Methods: Recent Developments and Applications in Computational Science. Co-Editors: Matthias Ehrhardt (U. Wuppertal, Germany) and Bhaskar Chaudhury (DA-IICT, India), 2020.

Refereed Journal Articles and Peer-Reviewed Conference Proceedings

    Submitted Journal Publications

    Published/Accepted Journal Publications

    2023

  1. S. Naranjo Alvarez, F. Dassi, L. Beirao Da Veiga, V. A. Bokil, V. Gyrya, G. Manzini, The virtual element method for a 2D incompressible MHD system , Mathematics and Computers in Simulation, Volume 211, September 2023, Pages 301-328.https://doi.org/10.1016/j.matcom.2023.03.029

    2022

  2. M. Lyu, V. A. Bokil, Y. Cheng and F. Li, Energy Stable Nodal DG Methods for Maxwell’s Equations of Mixed-Order Form in Nonlinear Optical Media, Commun. Appl. Math. Comput. (2022). https://doi.org/10.1007/s42967-022-00212-2.

  3. S. Naranjo Álvarez, V. A. Bokil, V. Gyrya, G. Manzini, The virtual element method for the coupled system of magneto-hydrodynamics , Book Chapter, first Online: 08 May 2022 in SEMA SIMAI Springer Series book series (SEMA SIMAI,volume 31)
    Also, see the arxiv site.

    2021

  4. M. Lyu, V. A. Bokil, Y. Cheng and F. Li, Energy stable nodal discontinuous Galerkin methods for nonlinear Maxwell's equations in multi-dimensions. Journal of Scientific Computing (2021) 89:45 https://doi.org/10.1007/s10915-021-01651-4
    [ SJR-1.53 (2020), Q1 (Computational Mathematics)]

  5. Puttha Sakkaplangkul and V. A. Bokil, Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media ,Volume 18, Number 4, Pages 524–568, IJNAM, April 2021.
    [ SJR-0.88 (2020), Q2 (Numerical Analysis)]

  6. S. Naranjo Alvarez, V. A. Bokil, V. Gyrya, and G. Manzini, The virtual element method for resistive magnetohydrodynamics,Volume 381, 1 August 2021, 113815, Computer Methods in Applied Mechanics and Engineering (CMAME), March 2021. Also, see the arxiv site
    [ SJR-2.53 (2020), Q1 (Computational Mechanics)]

  7. F. M. Hamelin, B. Bowen, P. Bernhard and V. A. Bokil, Optimal Control of Plant Disease Epidemics with Clean Seed Usage, Bull Math Biol 83, 46 (2021). https://doi.org/10.1007/s11538-021-00872-w
    [ SJR-0.69 (2020), Q1 (Agricultural & Biological Sciences)]

    2020

  8. Zhichao Peng, V. A. Bokil, Yingda Cheng and Fengyan Li, Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension, Volume 402, 1 February 2020, 109101, J. Computational Physics.
    9. [ SJR-1.88 (2020), Q1 (Applied & Computational Mathematics, numerical analysis)]

  9. V. A. Bokil, N. L. Gibson, S. L. Nguyen, E. A. Thomann, E. C. Waymire, An Euler-Maruyama Method for Diffusion Equations with Discontinuous Coefficients and a Family of Interface Conditions, Volume 368, April 2020, 112545, J. Comput. Appl. Mathematics.

    10. 2019

  10. Linda J. S. Allen, Vrushali A. Bokil, Nik J. Cunniffe, Frederic M. Hamelin, Frank M. Hilker, Michael J. Jeger, Modelling Vector Transmission and Epidemiology of Co-infecting Plant Viruses, published online, Special Issue on "Plant Virus Transmission by Vectors", Viruses, 2019. pdf version
    11. [ SJR-1.83 (2020), Q1 (Infectious Diseases)]

  11. Daniel Appelö, V. A. Bokil, Yingda Cheng, and Fengyan Li, Energy Stable SBP-FDTD Methods for Maxwell-Duffing Models in Nonlinear Photonics, published online, IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2019.
    12. [ SJR-0.45 (2020), Q2 (Computational Mathematics)]

  12. Puttha Sakkaplangkul, V. A. Bokil, and Camille Carvalho, A Fully Fourth Order Accurate Energy Stable Finite Difference Method for Maxwell’s Equations in Metamaterials, published online, IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2019. See also arxiv paper

  13. Frederic Hamelin, Linda J. S. Allen, Vrushali A. Bokil, Louis J. Gross, Frank Hilker, Michael J. Jeger, Carrie A. Manore, Alison G. Power, Megan A. Rua, and Nik J. Cunniffe, Coinfections by non-interacting pathogens are not independent and require new tests of interaction, online, PLOS Biol., 2019. Also, see Bioarxiv paper

  14. Daniel Appelö, V. A. Bokil, Yingda Cheng, Fengyan Li, Energy Stable Staggered High Order Finite Differences for Optical Media, International Applied Computational Electromagnetics Society Symposium (ACES), 2019.

  15. Yan Jiang, Puttha Sakkaplangkul, V. A. Bokil, Yingda Cheng and Fengyan Li, Dispersion Analysis of Finite Difference and Discontinuous Galerkin Schemes for Maxwell's Equations in Linear Lorentz Media Volume 394(1), Pages 100-135, Journal of Computational Physics, October 2019.
    16. [ SJR-1.88 (2020), Q1 (Applied & Computational Mathematics, numerical analysis)]

  16. V. A. Bokil, L. J. S. Allen, M. J. Jeger and S. Lenhart, Optimal Control of a Vectored Plant Disease Model for a Crop with Continuous Replanting, published online, Journal of Biological Dynamics, 2019.
    17. [ SJR-0.87 (2020), Q1 (Ecology)]

    2018

  17. V. A. Bokil, Y. Cheng, Y. Jiang, F. Li and P. Sakkaplangkul, High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension, Volume 77, Issue 1, pp 330–371, Journal of Scientific Computing, October 2018.

  18. V. A. Bokil, H. T. Banks, D. Cioranescu and G. Griso A Multiscale Method for Computing Effective parameters of composite electromagnetic materials with memory effects, Quarterly of Applied Mathematics, 2018.

  19. V. A. Bokil and P. Sakkaplangkul, Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations, International Journal of Numerical Analysis and Modeling (IJNAM), 15(6), pg 747-784, 2018.

    20. 2017

  20. V. A. Bokil, Y. Cheng, Y. Jiang, and F. Li, Energy Stable Discontinuous Galerkin Methods for Maxwell's Equations in Nonlinear Optical Media vol 350, pg 420-452, Journal of Computational Physics, Dec 2017.

  21. Frank M. Hilker, Linda J. S. Allen, Vrushali A. Bokil, Cheryl J. Briggs, Zhilan Feng, Karen A. Garrett, Louis J. Gross, Frederic M. Hamelin, Michael J. Jeger, Carrie A. Manore, Alison G. Power, Margaret G. Redinbaugh, Megan A. Rua, and Nik J. Cunniffe. Modelling virus coinfection to inform management of maize lethal necrosis in Kenya. Phytopathology, 2017. [Altmetric Score ].

    22. 2016

  22. V. A. Bokil, V. Gyrya and D. A. McGregor, A Dispersion Minimized Mimetic Method for Cold Plasma , Proceedings ECCOMAS 2016.

    23. 2015

  23. V. A. Bokil , N. L. Gibson, V. Gyrya and D. A. McGregor, Dispersion Reducing Methods for Edge Discretizations of the Vector Wave Equation, 287(2015), 88-109, J. Comp. Phys., 2015.
    24. [ SJR-1.88 (2020), Q1 (Applied & Computational Mathematics, numerical analysis)]

  24. V. A. Bokil , N. L. Gibson, D. A. McGregor and C. R. Woodside, Toward Estimating Current Densities in Magnetohydrodynamic Generators , XXVI IUPAP Conference on Computational Physics (CCP2014), Journal of Physics: Conference Series 640, 012032, 2015

    25. 2014

  25. T. A. Appuhamillage, V. A. Bokil, E. Thomann, E. Waymire and B. Wood, Skew Dispersion and Continuity of Local Time, 156(2), pp 384-394, Journal of Statistical Physics, 2014.

  26. V. A. Bokil , O. A. Keefer and A. C-Y. Leung, Operator Splitting Methods for Maxwell's Equations in Dispersive Media with Orientational Polarization, 263C (2014), pp. 160-188, Journal of Computational and Applied Mathematics, 2014.
    DOI: 10.1016/j.cam.2013.12.008

    27. 2013

  27. V. A. Bokil and N. L. Gibson, Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media , 11(4), 657-687, International Journal of Numerical Analysis and Modeling (IJNAM), 2014.
    OSU Technical Report version, 2013 .

  28. V. A. Bokil and C. A. Manore, Linking Population Dynamics and Disease Models for Multi-Host Pathogen Systems: Implications for Pathogen and Species Invasion, Special Issue on Modelling in Infectious Diseases, 21(4), pp-1. 39p. DOI: 10.1142/S0218339013400111, J. Biol. Sys., 2013.

  29. P. L. Zarnetske, T. C. Gouhier, S. D. Hacker, E. W. Seabloom and V. A. Bokil, Indirect effects and facilitation among native and non‐native species promote invasion success along an environmental stress gradient , Journal of Ecology, 101(4), pp 905--915, 2013. Article first published online: 7 JUN 2013 | DOI: 10.1111/1365-2745.12093
    Highly Commended for the 2013 Harper Prize

  30. V. A. Bokil and N. L. Gibson, Stability and Dispersion Analysis of High Order FDTD Methods for Maxwell's Equations in Dispersive Media, Contemporary Mathematics, Volume 586, 2013
    http://dx.doi.org/10.1090/conm/586/11666

    31. 2012

  31. Zarnetske, J. P., R. Haggerty, S. M. Wondzell, V. A. Bokil, and R. González-Pinzón, Coupled transport and reaction kinetics control the nitrate source-sink function of hyporheic zones, Water Resour. Res., 48(11), 2012, doi:10.1029/2012WR011894.
    Correction: Coupled transport and reaction kinetics control the nitrate source-sink function of hyporheic zones, Water Resour. Res., 48(12), 2012.

  32. L. J. S. Allen and V. A. Bokil, Stochastic Models for Competing Species with a Shared Pathogen, Mathematical Biosciences and Engineering, 9(3), pp 461-485, 2012

  33. V. A. Bokil and N. L. Gibson, Analysis of Spatial High-Order Finite Difference Methods for Maxwell's Equations in Dispersive Media, IMA Journal of Numerical Analysis, 32(3), 926-956, 2012 (first published online 2011: doi:10.1093/imanum/drr001)

    34. 2011

  34. S. M. Moore, C. A. Manore, V. A. Bokil, E. T. Borer and P. R. Hosseini, Spatiotemporal Model of Barley and Cereal Yellow Dwarf Virus Transmission Dynamics with Seasonality and Plant Competition, Bulletin of Mathematical Biology, 73(11), 2707-2730, 2011. (First published online DOI 10.1007/s11538-011-9654-4, 2011.)
    Winner of the 2012 Lee Segel Prize
    Winner of the 2012 Lee Segel Prize for Best Student Paper

  35. T. A. Appuhamillage, V. A. Bokil, E. Thomann, E. Waymire and B. Wood, Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface, Ann. Appl. Probab., Volume 21, Number 1 (2011), 183-214, 2011
    Correction: Occupation and local times for skew Brownian motion with applications to dispersion across an interface, Ann. Appl. Probab., Volume 21, Number 5 (2011), 2050-2051.

    36. 2010

  36. T. A. Appuhamillage, V. A. Bokil, E. Thomann, E. Waymire and B. Wood, Solute Transport Across an Interface: A Fickian Theory for Skewness in Breakthrough Curves, Water Resources Research, 46, W07511, 2010. doi:10.1029/2009WR008258

    37. 2009

  37. H. T. Banks, V. A. Bokil and N. L. Gibson, Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Media, Numerical Methods for Partial Differential Equations, 25(4), pp 885-917, July 2009.

    38. 2007

  38. H. T. Banks, V. A. Bokil and N. L. Gibson, Parameter Estimation Versus Homogenization Techniques in Time-Domain Characterization of Composite Dielectrics J. Inv. Ill Posed Prob., 15(2), 117-135, 2007.

  39. V. A. Bokil and M. W. Buksas, Comparison of Finite difference and Mixed Finite Element Methods for Perfectly Matched Layer Models, Communications in Computational Physics, 2(4), 806-826, 2007.

  40. H. T. Banks, V. A. Bokil and S. Hu, Monotone Approximation for a Nonlinear Size and Age Structured Epidemic Model, Nonlinear Analysis:Real World Applications, 8(3), 834--852, 2007.

    41. 2006

  41. H. T. Banks, V. A. Bokil, S. Hu, A. K. Dhar, R. A. Bullis, C. L. Browdy and F.C.T. Allnutt, Modeling Shrimp Biomass and Viral Infection for Production of Biological Countermeasures, Mathematical Biosciences and Engineering, 3(4), 635--660, Oct 2006.

  42. H. T. Banks, V. A. Bokil, D. Cioranescu, N. L. Gibson, G. Griso, and B. Miara, Homogenization of Periodically Varying Coefficients in Electromagnetic Materials, Journal of Scientific Computing, 28(2-3), 191--221, Aug 2006

    43. 2005

  43. H. T. Banks, and V. A. Bokil, A Computational and Statistical Framework for Multidimension Domain Acoustooptic Material Interrogation, Quarterly of Applied Mathematics, Volume LXIII, Number 1, Pages 156-200, March 2005.

  44. V. A. Bokil and R. Glowinski, An Operator Splitting Scheme with a Distributed Lagrange Multiplier Based Fictitious Domain Method for Wave Propagation Problems, in J. Comp. Phys., 205(1), pp 242--268, 2005.
    45. [ SJR-1.88 (2020), Q1 (Applied & Computational Mathematics, numerical analysis)]

    2004

  45. V. A. Bokil and R. Glowinski, A Distributed Lagrange Multiplier Based Fictitious Domain Method for Maxwell's Equations, International Journal of Computational and Numerical Analysis and Applications, 6(3), 203--245, 2004.

    46. 2003

  46. V. A. Bokil and R. Glowinski, A fictitious domain method with operator splitting for wave problems in mixed form, Mathematical and numerical aspects of wave propagation WAVES 2003, 437--442, Springer, Berlin, 2003.

Published Peer Reviewed Abstracts

  1. V. A. Bokil, V. Gyrya and D. A. McGregor P (2 pages), “A Dispersion Optimized Mimetic Fi- nite Difference Method for Maxwell’s Equations in Metamaterials”, Abstract in the 13th Inter- national Conference on Mathematical and Numerical Aspects of Wave Propagation WAVES 2017 (2 pages), Institute of Mathematics and its Applications (IMA), May 2017. https://cceevents.umn.edu/waves-2017

  2. V. A. Bokil , Yingda Cheng, Yan Jiang P , and Fengyan Li, “Discontinuous Galerkin Dis- cretizations for Maxwell’s equations in Nonlinear Kerr Media with Linear Lorentz Dispersion” (2 pages), Abstract in the 13th International Conference on Mathematical and Numerical As- pects of Wave Propagation WAVES 2017, Institute of Mathematics and its Applications (IMA), May 2017. https://cceevents.umn.edu/waves-2017

  3. V. A. Bokil and N. L. Gibson, Analysis of High-Order Finite Difference Methods for Maxwell's Equations in Dispersive Media, Extended Abstract, The 10th International Conference on the Mathematical and Numerical Aspects of Waves, WAVES 2011.

  4. T. A. Appuhamillage, V. A. Bokil, E. Thomann, E. Waymire and B. Wood, First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena Extended Abstract, 58th World Congress of the International Statistics Institute, Dublin, Ireland, August 21--26, 2011.

PhD Thesis

[TH] V. A. Bokil, Computational Methods for Wave Propagation Problems on Unbounded Domains (8Mb), PhD Thesis, Department of Mathematics, University of Houston, May 2003

Technical Reports

[TR7] V. A. Bokil and A. C-Y. Leung, A Sequential Operator Splitting Method for Electromagnetic Wave Propagation in Dispersive Media, 2011

[TR6] V. A. Bokil and M.-R.Leung, An Analysis of the Coexistence of Three Competing Species with a Shared Pathogen, 2011

[TR5] V. A. Bokil and C. A. Manore, Coexistence of Competing Species with a Directly Transmitted Pathogen, 2010

[TR4] V. A. Bokil and N. L. Gibson, High-Order Staggered Finite Difference Methods for Maxwell's Equations in Dispersive Media, 2010

[TR3] H. T. Banks, V. A. Bokil, and N. L. Gibson Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Dispersive Media, 2006

[TR2] G. M. Kepler, R. A. Albanese, H. T. Banks, and V. A. Bokil, Reflection of Microwave Pulses from Acoustic Waves: Summary of Experimental and Computational Studies, 2005

[TR1] H. T. Banks and V. A. Bokil , Parameter Identification for Dispersive Dielectrics Using Pulsed Microwave Interrogating Signals and Acoustic Wave Induced Reflections in Two and Three Dimensions, 2004
Montmartre, Paris, France, Sept 2016

Links:

Dr. Bokil's Departmental Homepage
Department of Mathematics Events
Department of Mathematics
Oregon State University