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## Refereed Journal Articles and Peer-Reviewed Conference Proceedings## Edited Issues-
**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. -
**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).
- S. Naranjo Alvarez,
**V. A. Bokil**, V. Gyrya, and G. Manzini, The virtual element method for resistive magnetohydrodynamics, Submitted, April 2020.#### Published/Accepted Journal Publications#### 2020 - 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. -
**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. -
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 - 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. - 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 - 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 - 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. - 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. -
**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. -
**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. -
**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. -
**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. -
**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. - 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 ]. -
**V. A. Bokil**, V. Gyrya and D. A. McGregor, A Dispersion Minimized Mimetic Method for Cold Plasma , Proceedings ECCOMAS 2016. -
**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. -
**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 - 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. -
**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 **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 .-
**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. - 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 -
**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 - 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. - 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 -
**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) - 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 - 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.
- 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
- 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. - 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. **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.- 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. - 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. - 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 - 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. - 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.
**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.-
**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.
## Submitted Journal Publications
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## Published Peer Reviewed Abstracts**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**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-
**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. - 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
## Journal Publications In Preparation- S. Naranjo Alvarez,
**V. A. Bokil**, and V. Gyrya, A Mimetic Finite Difference Method for resistive magnetohydrodynamics. -
**V. A. Bokil,**B. Bowen, P. Bernhard, and F. Hamelin, Optimal Control of a Plant Disease Model with Harvesting and Clean Seed Usage. -
**V. A. Bokil**and P. Sakkaplangkul, Unconditionally stable FDTD operator splitting methods for the Maxwell-Landau Lifschitz Gilbert equations.
## 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]
[TR5]
[TR4]
[TR3] H. T. Banks,
[TR2] G. M. Kepler, R. A. Albanese, H. T. Banks, and
[TR1] H. T. Banks and |
## Montmartre, Paris, France, Sept 2016 Links: Dr. Bokil's Departmental Homepage Department of Mathematics Events Department of Mathematics Oregon State University |