Publications, Preprints, Conferences and Talks

Invited Book Chapters 

1. E. Josyula and P. Vedula, “Fundamental fluid transport equations for nonequilibrium hypersonic flows,” In E. Josyula (Ed.), Nonequilibrium Hypersonic Flows: Fundamentals and Recent Advances, Progress in Astronautics and Aeronautics, AIAA publication, 247, pp. 1-43 (2015)

2. A. Passalacqua, P. Vedula and R. O. Fox, “Quadrature-based moment methods for polydisperse gas-solid flows.” In S. Pannala, M. Syamlal, T. OBrien (Ed.), Computational gas-solids flows and reacting systems: theory, methods and practice (book), IGI Global, Hershey, USA, pp. 321-343 (2010)

Preprints 

1. A. Shukla and P. Vedula, “A Modular, Adaptive, and Scalable Quantum Factoring Algorithm,” arXiv:2509.0510 (2025)

2. A. Shukla and P. Vedula, “Modular Quantum Amplitude Estimation: A Scalable and Adaptive Framework,” arXiv:2508.05805 (2025)

3. A. Shukla and P. Vedula, “Towards Practical Quantum Phase Estimation: A Modular, Scalable, and Adaptive Approach,” arXiv:2507.22460 (2025)

4. M. Rohida, A. Shukla and P. Vedula, “Quantum algorithm for edge detection in digital grayscale images,” arXiv:2507.06642 (2025)

5. A. Shukla and P. Vedula, “Generalized tensor transforms and their applications in classical and quantum computing,” arXiv.2507.02420 (2025)

6. A. Shukla and P. Vedula, “On sequency-complete and sequency-ordered matrices,” arXiv:2402.11003 (2024)

Refereed Journal Publications

1. A. Shukla and P. Vedula, “Efficient quantum algorithm for weighted partial sums and numerical integration,” Advanced Quantum Technologies, e2500084 (2025) 

2. A. Shukla and P. Vedula, “Efficient implementation of a quantum search algorithm for arbitrary N,” The European Physical Journal Plus, 140:575, pp. 1-10 (2025)

3. G. Subramaniam and P. Vedula, “A generalized transformed path integral approach for stochastic processes,” Journal of Computational Physics, 535, 113925, pp. 1-27 (2025)

4. H. Sandesara, A. Shukla and P. Vedula, “A quantum approach for optimal control,” Quantum Information Processing, 24(95): pp. 1-42 (2025)

5. M. Rohida, A. Shukla and P. Vedula, “Hybrid classical-quantum image processing via polar Walsh basis functions,” Quantum Machine Intelligence, 6(72): pp. 1-17 (2024)

6. A. Shukla and P. Vedula, “An efficient quantum algorithm for preparation of uniform quantum superposition states,” Quantum Information Processing, 23(38): pp. 1-32 (2024)

7. A. Shukla and P. Vedula, “A quantum approach for digital signal processing,” The European Physical Journal Plus, 138 (12), pp. 1-24 (2023)

8. A. Shukla and P. Vedula, “A generalization of Bernstein–Vazirani algorithm with multiple secret keys and a probabilistic oracle,” Quantum Information Processing, 22(6): 244 (2023)

9. A. Shukla and P. Vedula, “A hybrid classical-quantum algorithm for solution of nonlinear ordinary differential equations,” Applied Mathematics and Computation, 442, 127708 (2023)

10. S. Pawar, O. San, A. Rasheed and P. Vedula, “Frame invariant neural network closures for Kraichnan turbulence,” Physica A: Statistical Mechanics and its Applications, 609, 128327 (2023)

11. A. Shukla and P. Vedula, “A hybrid classical-quantum algorithm for digital image processing,” Quantum Information Processing, 22(1), 3 (2022)

12. S. Pawar, O. San, P. Vedula, A. Rasheed and T. Kvamsdal, “Multi-fidelity information fusion with concatenated neural networks,” Scientific Reports, 12:5900 (2022)

13. E. Ozbenli and P. Vedula, “Construction of invariant compact finite difference schemes,” Physical Review E, 101, 023303, pp. 1-20 (2020)

14. S. Pawar, O. San, A. Rasheed and P. Vedula, “A priori analysis on deep learning of subgrid-scale parametrizations of Kraichnan turbulence,” Theoretical and Computational Fluid Dynamics, 34, pp. 429-455 (2020)

15. E. Josyula, K. Vogiatzis and P. Vedula, “High-fidelity hypersonic non-equilibrium flow modeling for ISR missions,” Journal of DoD Research and Engineering, 2 (3), pp. 2-11 (2019)

16. S. Pawar, S. M. Rahman, H. Vaddireddy, O. San, A. Rasheed and P. Vedula, “A deep learning enabler for non-intrusive reduced order modeling of fluid flows,” Physics of Fluids, 31 (8), 085101 (2019)

17. A. Shukla and P. Vedula, “Trajectory optimization using quantum computing,” Journal of Global Optimization, 75 (1), pp. 199-225  (2019)

18. R. Maulik, O. San, A. Rasheed and P. Vedula, “Subgrid modelling for two-dimensional turbulence using neural networks,” Journal of Fluid Mechanics, 858, pp. 122-144 (2019)

19. R. Maulik, O. San, A. Rasheed and P. Vedula, “Data-driven deconvolution for large eddy simulations of Kraichnan turbulence,” Physics of Fluids, 30 (12), 125109, pp. 1-15 (2018)

20. E. Josyula, C. Suchyta, P. Vedula and J. Burt, “Multiquantum transitions in oxygen and nitrogen molecules in hypersonic nonequilibrium flows,” Journal of Thermophysics and Heat Transfer (2018)

21. O. San and P. Vedula, “Generalized deconvolution procedure for structural modeling of turbulence,” Journal of Scientific Computing, 75 (2), pp. 1187-1206 (2018)

22. E. Ozbenli and P. Vedula, “High order accurate finite difference schemes based on symmetry preservation,” Journal of Computational Physics, 349, pp. 376-398 (2017)

23. E. Ozbenli and P. Vedula, “Numerical solution of modified differential equations based on symmetry preservation,” Physical Review E, 96, 063304, pp. 1-14 (2017)

24. G. M. Subramaniam and P. Vedula, “A transformed path integral method for solution of the Fokker-Planck equation,” Journal of Computational Physics, 346, pp. 49-70 (2017)

25. M. Razi, P. Attar and P. Vedula, “Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids,” Journal of Scientific Computing, 69 (2), pp. 581-609 (2016) 

26. M. Razi, P. Attar and P. Vedula, “Uncertainty quantification of multidimensional dynamical systems based on adaptive numerical solutions of the Liouville equation,” Probabilistic Engineering Mechanics, 42, pp. 7-20 (2015)

27. M. Razi, P. Attar and P. Vedula, “Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs,” Applied Mathematics and Computation, 269, pp. 473-487 (2015)

28. M. Razi, P. Attar and P. Vedula, “Adaptive finite difference solutions of Liouville equation in computational uncertainty quantification,” Reliability Engineering and System Safety, 142, pp. 267–278 (2015)

29. A. LaBryer, P. Attar and P. Vedula, “A framework for large eddy simulation of Burgers turbulence based upon spatial and temporal statistical information,” Physics of Fluids, 27, 035116, pp. 1-22 (2015)

30. E. Josyula, J. M. Burt, W. F. Bailey and P. Vedula, “Role of state-to-state kinetics in determination of transport coefficients for hypersonic flow simulations,” Open Plasma Physics Journal (Special Issue on Molecular Physics and Plasmas in Hypersonics), 7, pp. 173-180 (2014)

31. A. LaBryer, P. Attar and P. Vedula, “Optimal spatiotemporal reduced order modeling of the viscous Burgers equation,” Finite Elements in Analysis and Design, 79, pp. 40-52 (2014)

32. E. Josyula, C. J. Suchyta, I. D. Boyd and P. Vedula, “Internal energy relaxation in shock wave structure,” Physics of Fluids, 25, 126012, pp. 1-19 (2013)

33. A. LaBryer, P. Attar and P. Vedula, “Characterization of subgrid-scale dynamics for a nonlinear beam,” Computers and Structures, 129, pp. 13-29 (2013)

34. B. I. Green and P. Vedula, “A lattice based solution of collisional Boltzmann equation: application to microchannel flows,” Journal of Statistical Mechanics, P07016, pp. 1-22 (2013)

35. A. LaBryer, P. J. Attar and P. Vedula, “Optimal spatiotemporal reduced order modeling, Part II: Application to a nonlinear beam,” Computational Mechanics, 52, pp. 433-451 (2013) 

36. A. LaBryer, P. J. Attar and P. Vedula, “Optimal spatiotemporal reduced order modeling, Part I: Proposed framework,” Computational Mechanics, 52, pp. 417-431 (2013)

37. P. J. Attar and P. Vedula, “On convergence of moments in uncertainty quantification based on direct quadrature,” Reliability Engineering and System Safety, 111, pp. 119-125 (2013)

38. A. LaBryer, P. J. Attar and P. Vedula, “A framework for optimal temporal reduced order modeling of nonlinear dynamical systems,” Journal of Sound and Vibration, 332 (4), pp. 993-1010 (2013)

39. A. LaBryer, P. J. Attar and P. Vedula, “An optimal prediction method for under-resolved time-marching and time-spectral schemes,” International Journal for Multiscale Computational Engineering, 11(2), pp. 93-116 (2013)

40. Y. Xu and P. Vedula, “A moment-based approach for nonlinear stochastic tracking control,” Nonlinear Dynamics, 67 (1), pp. 119-128 (2012)

41. D. L. Otten and P. Vedula, “A quadrature based method of moments for nonlinear Fokker-Planck equations,” Journal of Statistical Mechanics, P09031, pp. 1-20 (2011)

42. A. Aliat, P. Vedula and E. Josyula, “State-specific modeling of radiation coupled to vibration-translation relaxation and dissociation in nonequilibrium flows,” Physical Review E, 83, 067302, pp. 1-4 (2011)

43. A. Passalacqua, J. E. Galvin, P. Vedula, C. M. Hrenya and R. O. Fox, “A quadrature-based kinetic model for dilute non-isothermal granular flows,” Communications in Computational Physics, 10, pp. 216-252 (2011)

44. A. Aliat, P. Vedula and E. Josyula, “State-specific modeling of dissociation with multiquantum Vibration-Translation transitions,” Physical Review E, 83, 037301, pp. 1-4 (2011)

45. A. Aliat, P. Vedula and E. Josyula, “Simple model for vibration-translation exchange at high temperatures: Effect of multiquantum transitions on the relaxation of a N2 gas flow behind a shock,” Physical Review E, 83, 026308, pp. 1-11 (2011)

46. E. Josyula, P. Vedula, W. F. Bailey and C. J. Suchyta, “Kinetic solution of shock structure in a non-reactive gas mixture,” Physics of Fluids, 23, 017101, pp. 1-9 (2011) 

47. R. O. Fox and P. Vedula, “Quadrature-based moment model for moderately dense polydisperse gas-particle flows,” Industrial & Engineering Chemistry Research, 49 (11), pp 5174–5187 (2010)

48. R. D. Moser, N. Malaya, H. Chang, P. S. Zandonade, P. Vedula, A. Bhattacharya and A. Hasselbacher, “Theoretically based optimal large-eddy simulation,” Physics of Fluids, 21, 105104, pp. 1-19 (2009)

49. P. Attar and P. Vedula, “Direct quadrature method of moments solution of the Fokker-Planck Equation for stochastic processes in aeroelasticity,” AIAA Journal, 47, pp. 1219-1227 (2009)

50. Y. Xu and P. Vedula, “A quadrature based method of moments for nonlinear filtering,” Automatica, 45, pp. 1291-1298 (2009)

51. P. Attar and P. Vedula, “A direct quadrature method of moments solution of the Fokker-Planck equation,” Journal of Sound and Vibration, 317, pp. 265-272 (2008)

52. P. Vedula and R. J. Adrian, “Optimal solenoidal interpolation of turbulent vector fields: Application to PTV and super-resolution PIV,” invited paper, Experiments in Fluids (Special issue), 39, pp. 213-221 (2005)

53. P. Vedula, R. D. Moser and P. Zandonade, “Validity of quasi-normal approximation in turbulent channel flow,” Physics of Fluids, 17, 055106, pp. 1-9 (2005)

54. B. L. Sawford, P. K. Yeung, M. S. Borgas, P. Vedula, A. La Porta, A. M. Crawford and E. Bodenschatz, “Conditional and unconditional acceleration statistics in turbulence,” Physics of Fluids, 15, pp. 3478-3489 (2003)

55. A. Tsinober, P. Vedula and P. K. Yeung, “Random Taylor hypothesis and the behavior of local and convective accelerations in isotropic turbulence,” Physics of Fluids, 13, pp. 1974-1984 (2001)

56. P. Vedula, P. K. Yeung and R. O. Fox, “Dynamics of scalar dissipation rate: a numerical and modeling study,” Journal of Fluid Mechanics, 433, pp. 29-60 (2001)

57. P. K. Yeung, M. C. Sykes and P. Vedula, “Direct numerical simulation of differential diffusion with Schmidt numbers up to 4.0,” Physics of Fluids, 12, pp. 1601-1604 (2000)

58. P. Vedula and P. K. Yeung, “Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence,” Physics of Fluids, 11, pp. 1208-1220 (1999)

Articles in Refereed Conference Proceedings 

1. E. Ozbenli, P. Vedula, K. Vogiatzis, and E. Josyula, “Numerical solution of hypersonic flows using artificial neural networks,” AIAA-2020-1233, AIAA SciTech Forum and Exposition, Orlando, Florida, January 6-10, 2020

2. K. Vogiatzis, A. Munafo, M. Panesi, P. Vedula and E. Josyula, “HyperCode: A framework for high-order accurate turbulent non-equilibrium hypersonic flow simulations,” AIAA-2020-2192, AIAA SciTech Forum and Exposition, Orlando, Florida, January 6-10, 2020 

3. A. Munafo, K. Vogiatzis, D. Ghosh, P. Vedula, M. Panesi and E. Josyula, “High-order techniques for multi-component turbulent nonequilibrium hypersonic flows,” AIAA-2020-2193, AIAA SciTech Forum and Exposition, Orlando, Florida, January 6-10, 2020

4. R. Ranjan, P. Vedula, K. Vogiatzis and E. Josyula, “Towards numerical simulation of hypersonic turbulent flows using high order methods,” AIAA-2018-0980, 56th AIAA Aerospace Sciences Meeting, Kissimmee, Florida, January 8-12, 2018

5. E. Josyula, C. Suchyta, K. Vogiatzis, Y. Y. Khine and P. Vedula, “State-to-state kinetic modeling of select air species in hypersonic nonequilibrium flows,” AIAA-2017-3489, 47th AIAA Thermophysics Conference, AIAA Aviation and Aeronautics, Denver, Colorado, June 5-7, 2017

6. K. Vogiatzis, E. Josyula and P. Vedula, “Double-Cone Flows in Nonequilibrium: Comparison of CFD with Experimental Data,” AIAA-2017-0064, 55th AIAA Aerospace Sciences Meeting, Grapevine, Texas, January 9-13, 2017

7. A. Alekseenko, S. Gimelshein, T. Nguyen and P. Vedula, “Solution of non-continuum flows using BGK-type model with enforced relaxation of moments,” Proceedings of the 30th International Symposium on Rarefied Gas Dynamics, Victoria BC, Canada, July 10-15, 2016

8. E. Josyula, J. M. Burt, V. Laporta and P. Vedula, “State-to-State kinetic modeling of oxygen in hypersonic nonequilibrium flows,” AIAA-2016-4316, 46th AIAA Thermophysics Conference, AIAA Aviation and Aeronautics, Washington, D.C., June 13-17, 2016

9. K. Vogiatzis, E. Josyula and P. Vedula, “Role of High Fidelity Nonequilibrium Modeling in Laminar and Turbulent Flows for High Speed ISR Missions,” AIAA-2016-4317, 46th AIAA Thermophysics Conference, AIAA Aviation and Aeronautics, Washington, D.C., June 13-17, 2016

10. E. Josyula, J. M. Burt, E. Kustova, M. Mekhonoshina and P. Vedula, “State-to-State kinetic modeling of dissociating and radiating hypersonic flows,” AIAA-2015-0475, 53rd AIAA Aerospace Sciences Meeting, Kissimmee, Florida, January 5-9, 2015

11. E. Josyula, C. J. Suchyta III, J. M. Burt, P. Vedula, “Implications of modeling inelastic collisions in nonequilibrium hypersonic flows,” Proceedings of the 29th International Symposium on Rarefied Gas Dynamics, Xi’an, China, July 13-18, 2014

12. E. Josyula, J. M. Burt, E. Kustova and P. Vedula, “Influence of state-to-state transport coefficients on surface heat transfer in hypersonic flows,” AIAA-2014-0864, 52nd AIAA Aerospace Sciences Meeting, National Harbor, Maryland, January 13-17, 2014

13. M. Razi, P. Attar and P. Vedula, “Uncertainty quantification for multidimensional dynamical systems based on adaptive numerical solution of Liouville equation,” 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Co-located Events April 8-11, 2013

14. A. Labryer, P. Attar and P. Vedula, “Optimal spatiotemporal reduced order modeling of Burgers’ equation with large-amplitude disturbances,” AIAA-2013-0255, 51st AIAA Aerospace Sciences Meeting, Grapevine (Dallas-Fort Worth), Texas, January 7–10, 2013 

15. A. Nevrekar, A. Striz and P. Vedula, “Maximum range glide of a supersonic aircraft in the presence of wind,” 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Indianapolis, Indiana, September 17-19, 2012

16. A. Labryer, P. Attar and P. Vedula, “Optimal prediction of Lyapunov exponents for a Duffing oscillator,” Proceedings of the 11th International Conference on Computational Structures Technology, Dubrovnik, Croatia, September 4-7, 2012

17. E. Josyula, J. M. Burt, W. F. Bailey and P. Vedula, “Influence of thermochemical nonequilibrium on transport properties for hypersonic flow simulations,” AIAA-2012-3191, 43rd AIAA Thermophysics Conference, New Orleans, Louisiana, June 25-28, 2012

18. A. Labryer, P. Attar and P. Vedula, “Subgrid-scale dynamics for a nonlinear beam,” AIAA-2012-1711, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, April 23-26, 2012. (Jefferson Goblet Award for the Best Student Paper)

19. A. Nevrekar, A. Striz and P. Vedula, “Maximum range glide of a supersonic aircraft in the presence of wind,” Proceedings of the ASME 2012 Early Career Technical Conference, Baton Rouge, Louisiana, March 29-31, 2012

20. V. Lee, J. Yoon and P. Vedula, “Nonlinear estimation and Bayesian multisensor fusion using a quadrature-based method,” AIAA-2011-6621, AIAA Guidance, Navigation, and Control Conference, Portland, Oregon, Aug. 8-11, 2011

21. B. I. Green and P. Vedula, “Validation of a collisional lattice Boltzmann method,” AIAA-2011-3403, 41st AIAA Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011

22. E. Josyula, C. J. Suchyta, W. Bailey and P. Vedula, “Kinetic view of the influence of internal energy states on shock structure”, AIAA-2011-3135, 41st AIAA Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011

23. M. Razi, P. Attar and P. Vedula, “Adaptive numerical solutions of Fokker-Planck equations in computational uncertainty quantification,” AIAA-2011-1976, AIAA Structural Dynamics and Materials Conference, Denver, Colorado, Apr. 4-7, 2011

24. A. Labryer, P. Attar and P. Vedula, “Optimal reduced order modeling in time for problems in nonlinear dynamics,” AIAA-2011-2179, AIAA Structural Dynamics and Materials Conference, Denver, Colorado, Apr. 4-7, 2011

25. E. Josyula, A. Aliat and P. Vedula, “Multiquantum state-to-state transitions in hypersonic blunt body flows,” AIAA-2011-532, 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, Jan. 4-7, 2011

26. R. Kamakoti, L. Xue, P. Hu, P. Attar and P. Vedula, “Harmonic balance methodology for meshless particle-based methods,” AIAA-2011-653, 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, Jan. 4-7, 2011 

27. E. Josyula, P. Vedula, W. F. Bailey and C. J. Suchyta, “Kinetic solution of the structure of a shock wave in a non-reactive gas mixture,” Proceedings of the 27th International Symposium on Rarefied Gas Dynamics (Paper #212), Pacific Grove, California 2010

28. P. Vedula and E. Josyula, “Numerical simulation of hypersonic blunt body and nozzle flows using master equation,” Proceedings of the 27th International Symposium on Rarefied Gas Dynamics (Paper #310), Pacific Grove, California 2010

29. J. Yoon, P. J. Attar and P. Vedula, “Non-intrusive uncertainty quantification for hypersonic flight using direct quadrature,” AIAA-2010-8171, AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario, Aug. 2-5, 2010

30. P. Hu, R. Kamakoti, L. Xue, Z. Wang, Q. Li, P. Attar and P. Vedula, “A meshless method for aeroelastic applications in ASTE-P Toolset,” AIAA-2010-7604, AIAA Modeling and Simulation Technologies Conference, Toronto, Ontario, Aug. 2-5, 2010

31. P. Vedula and E. Josyula, “Numerical simulation of hypersonic blunt body and nozzle flows using master equation,” AIAA-2010-4331, 10th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Chicago, Illinois, June 28-1, 2010

32. D. Otten and P. Vedula, “Importance sampling-based direct simulation Monte Carlo method,” AIAA-2010-5061, 10th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Chicago, Illinois, June 28-1, 2010

33. J. Yoon, Y. Xu and P. Vedula, “A direct quadrature-based nonlinear filtering with extended Kalman filter update for orbit determination,” ACC paper (ThA15.1), American Control Conference, Baltimore, Maryland 2010

34. E. Josyula, P. Vedula, W. F. Bailey, “Kinetic solution of shock structure in a non-reactive gas mixture,” AIAA-2010-817, 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, Jan. 4-7, 2010

35. J. Yoon, Y. Xu and P. Vedula, “Enhanced direct quadrature-based method of moments for nonlinear filtering,” AIAA-2009-6086, AIAA Guidance Navigation and Controls Conference, Chicago, Illinois 2009

36. Y. Xu and P. Vedula, “Nonlinear stochastic control Part I: A moment-based approach,” AIAA-2009-5627, AIAA Guidance Navigation and Controls Conference, Chicago, Illinois 2009

37. Y. Xu, M. Xin and P. Vedula, “Nonlinear stochastic control Part II: Ascent phase control of reusable launch vehicles,” AIAA-2009-5956, AIAA Guidance Navigation and Controls Conference, Chicago, Illinois 2009

38. L. Fr´eret, F. Laurent, S. de Chaisemartin, D. Kah, R. O. Fox, P. Vedula, J. Reveillon, O. Thominek and M. Massot, "Turbulent combustion of polydisperse evaporating sprays with droplet crossing: Eulerian modeling of collisions at finite Knudsen and validation, Proceedings of 2008 Summer Program at Center for Turbulence Research at Stanford University, 2008

39. Y. Xu and P. Vedula, “A quadrature-based method of moments for nonlinear filtering,” AIAA-2008-6602, Proceedings of AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu Hawaii 2008

40. P.J. Attar and P. Vedula, “Direct quadrature method of moments solution of the Fokker-Planck equation for stochastic processes in aeroelasticity,” AAIAA-2008-1986, 10th AIAA Non-Deterministic Approaches Conference, Schaumburg, IL, April 7-10, 2008

41. R. D. Moser, P. Zandonade and P. Vedula, “A fresh approach to large eddy simulation of turbulence,” In Progress in Turbulence V (book), pp. 195-202 (2005)

42. P. Vedula and R. J. Adrian, “Optimal solenoidal interpolation of turbulent vectors: Application to PTV and super-resolution PIV,” Proceedings of 12th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, July 2004

43. P. Vedula, R. Delfos and F. T. M. Nieuwstadt, “Effects of inertia on droplet dispersion in turbulent liquid-liquid systems,” In Advances in Turbulence IX (book), Proceedings of 9th European Turbulence Conference, Eds. I. P. Castro, P. E. Hancock & T. G. Thomas, CIMNE, Barcelona, Spain, pp. 35-38 (2002)

44. P. Vedula and P. K. Yeung, “Eulerian and Lagrangian statistics of pressure gradient fluctuations in isotropic turbulence,” Proceedings of 13th Australasian Fluid Mechanics Conference, Melbourne, Australia, pp. 619-622 (1998)

Conference Presentations with Published Abstracts

1. E. Ozbenli and P. Vedula, “Symmetry preservation in WENO schemes,” 72nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Seattle, Washington, November 23-26, 2019

2. M. Von Gonten, G. M. Subramaniam and P. Vedula, “Efficient computational approaches for treatment of transformed path integrals,” 2019 SIAM Conference on Dynamical Systems, Snowbird, Utah, May 19-23, 2019

3. G. M. Subramaniam and P. Vedula, “A generalized transformed path integral approach for stochastic dynamical systems,” 2019 SIAM Conference on Dynamical Systems, Snowbird, Utah, May 19-23, 2019

4. E. Ozbenli and P. Vedula, “Construction of invariant numerical schemes for solution of hyperbolic partial differential equations,” 71st Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Atlanta, Georgia, November 18-20, 2018

5. R. Maulik, O. San, A. Rasheed and P. Vedula, “Data-driven deconvolution for the large eddy simulation of Kraichnan turbulence,” 71st Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Atlanta, Georgia, November 18-20, 2018

6. G. M. Subramaniam and P. Vedula, “A transformed path integral approach for linear-quadratic control,” 13th World Congress on Computational Mechanics, New York City, New York, July 22-27, 2018

7. R. Maulik, E. Ozbenli, O. San and P. Vedula, “Nonlinear physics inference using artificial neural networks,” Coalition for Advancing Digital Research & Education (CADRE) conference, Oklahoma State University, Stillwater, Oklahoma, April 17-18, 2018

8. R. Maulik, O. San and P. Vedula, “Sub-filter scale nonlinear interaction modeling for LES using deep neural networks,” 38th AIAA/ASME Symposium, Edmond, Oklahoma, April 18, 2018

9. E. Ozbenli and P. Vedula, “Symmetry preserving compact schemes for numerical solution of PDEs,” 70th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Denver, Colorado, November 19-21, 2017

10. E. Ozbenli and P. Vedula, “High order accurate finite difference schemes based on symmetry preservation,” 69th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Portland, Oregon, November 20-22, 2016

11. P. Vedula, “Numerical solution of Boltzmann equation on discrete velocity grids,” 68th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Boston, Massachusetts, November 22-24, 2015

12. P. Vedula and A. Aliat, “Collisional Lattice Boltzmann Method for simulation of continuum through free molecular flow regimes,” 67th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, San Francisco, California, November 23-25, 2014

13. P. Vedula and A. Aliat, “Collisional Lattice Boltzmann Method using arbitrary lattices in 2D and 3D velocity spaces,” Discrete Simulations in Fluid Dynamics, Paris, France, July 28 – August 1, 2014

14. A. Nevrekar, A. Striz and P. Vedula, “Optimal climb performance of a supersonic aircraft,” 34th AIAA/ASME Symposium, Edmond, Oklahoma 2014

15. P. Vedula, P. Attar and A. LaBryer, “A framework for Large Eddy Simulation based on spatiotemporal statistical information,” 66th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Pittsburgh, Pennsylvania, November 24-26, 2013

16. A. Aliat and P. Vedula, “A lattice based approach for simulation of multiphase flows with phase transitions,” 65th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, San Diego, California, November 18-20, 2012

17. M. Razi, P. Attar and P. Vedula, “An Adaptive Finite Difference Approach for Solution of the Fokker-Planck Equation: Application for UQ,” SIAM Conference on Uncertainty Quantification, Raleigh, North Carolina, April  2-5, 2012

18. A. Nevrekar, A. Striz and P. Vedula, “Effects of wind on climb and glide performance of a supersonic aircraft,” 32nd AIAA/ASME Symposium, Tulsa, Oklahoma 2012

19. P. Vedula, “Kinetic theory based computational approaches for granular flows,” 64th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Baltimore, Maryland, November 20-22, 2011

20. A. LaBryer, P. Attar and P. Vedula, “Optimal temporal reduced order modeling for nonlinear dynamical systems,” 11th US National Congress on Computational Mechanics, Minneapolis, Minnesota 2011 

21. E. Josyula, P. Vedula, A. Aliat and H. Thornburg, “Numerical simulation of hypersonic blunt body and nozzle flows using master equation,” Poster presentation, DoD High Performance Computing Modernization Program, 21st Users Group Conference, Portland, Oregon, June 21-23, 2011

22. A. Nevrekar, A. G. Striz and P. Vedula, “Determination of optimal trajectories for an aircraft using a Chebyshev Pseudospectral method,” 31st AIAA/ASME Symposium, Norman, Oklahoma 2011

23. A. LaBryer, P. Attar and P. Vedula, “Optimal temporal reduced order modeling for nonlinear dynamical systems,” 31st AIAA/ASME Symposium, Norman, Oklahoma 2011

24. M. Razi, P. Attar and P. Vedula, “Adaptive numerical solutions of Fokker-Planck equations in computational uncertainty quantification,” 31st AIAA/ASME Symposium, Norman, Oklahoma 2011

25. P. Vedula and D. Otten, “Importance sampling-based direct simulation Monte Carlo method,” 63rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Long Beach, California 2010

26. B. I. Green and P. Vedula, “An examination of collisional Lattice Boltzmann Method for microchannel flows,” 63rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Long Beach, California 2010

27. A. Nevrekar, A. G. Striz and P. Vedula, “Application of the Differential Quadrature Method (DQM) to trajectory optimization problems," 30th AIAA/ASME Symposium, Stillwater, Oklahoma 2010

28. P. Vedula, “A robust semi-discrete quadrature-based moment method for solution of Boltzmann equation,” 62nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Minneapolis, Minnesota 2009

29. B. I. Green and P. Vedula, “A lattice-based numerical solution of collisional Boltzmann equation,” 62nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Minneapolis, Minnesota 2009

30. J. Yuan, P. Vedula, A. Passalacqua and R. O. Fox, “Comparison of two quadrature-based moment methods for simulating dilute granular gases,” 62nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Minneapolis, Minnesota 2009

31. A. Passalacqua, J. Galvin, P. Vedula, C. Hrenya and R. O. Fox, “A quadrature-based kinetic model for a dilute non-isothermal granular gas,” 62nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Minneapolis, Minnesota 2009

32. A. Passalacqua, P. Vedula, C. M. Hrenya, R. O. Fox, “A kinetic model for a non-isothermal granular gas with bi-disperse particles,” AIChE Annual Meeting, Nashville, Tennessee 2009

33. P. Vedula, B. I. Green and L. C. Striz, “Numerical solution of collisional Boltzmann equation on a lattice: Applications to non-equilibrium flows,” 10th US National Congress on Computational Mechanics, Columbus, Ohio 2009

34. B. I. Green and P. Vedula, “Solution of collisional Boltzmann equation on a lattice: Applications to non-equilibrium flows,” Symposium on Turbulence and Combustion, Cornell University, Ithaca 2009

35. D. Otten and P. Vedula, “An efficient numerical approach for nonlinear Fokker-Planck equations,” Meeting of American Physical Society, Pittsburgh, Pennsylvania, March 2009

36. P. Vedula and R. O. Fox, “A quadrature-based moment approach for multi-component fluid mixtures using Boltzmann equations,” 61st Annual Meeting of the Division of Fluid Dynamics, American Physical Society, San Antonio, Texas 2008

37. A. Passalacqua, P. Vedula, R. O. Fox, “Solution of the Boltzmann equation for fluid flows in microchannels at finite Knudsen numbers with a third-order quadrature-based moment method,” AIChE Annual Meeting, Philadelphia 2008

38. A. Passalacqua, P. Vedula, C. M. Hrenya, R. O. Fox, A kinetic-based model for a nonisothermal granular gas with mono- and bi-dispersed particles, AIChE Annual Meeting, Philadelphia 2008

39. P. Vedula, “A quadrature-based moment approach for multi-component fluid mixtures using Boltzmann equations,” Discrete Simulations in Fluid Dynamics, Florianopolis, Brazil 2008

40. P. Vedula, “A quadrature-based moment approach for multi-component fluid mixtures using Boltzmann equations,” International Congress on Computational Mechanics and Applied Science, Venice, Italy 2008

41. P. Vedula and R. O. Fox, “Turbulence modeling-based on the collisional Boltzmann equation,” 60th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Salt Lake City, Utah 2007

42. R. O. Fox and P. Vedula, “A quadrature-based kinetic equation solver for arbitrary Knudsen numbers,” 60th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Salt Lake City, Utah 2007

43. R. O. Fox and P. Vedula, “Quadrature-based moment methods for polydisperse multi-phase flows,” SIAM Conference on Computational Science and Engineering, San Diego, California 2007

44. P. Vedula and R. O. Fox, “Direct quadrature method of moments for Boltzmann equation with dissipative dynamics,” 59th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Tampa, Florida 2006

45. R. D. Moser, P. Zandonade and P. Vedula, “Is Optimal LES a practical approach to LES modeling?,” Proceedings of LES and SGS Modeling For Turbulent Mixing and Reactive Flows, California Institute of Technology, Pasadena, December 2003

46. P. Vedula, R. D. Moser and R. J. Adrian, “Optimal large eddy simulation of coarsely sampled turbulence fields,” 56th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, New Jersey, November 2003

47. R. D. Moser, P. Zandonade and P. Vedula, “A new approach to LES modeling,” 56th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, New Jersey, November 2003

48. R. D. Moser, P. Zandonade and P. Vedula, “Numerical representation of the large scales of turbulence,” Proceedings of 7th US National Congress on Computational Mechanics, Albuquerque, July 2003

49. P. Vedula and R. D. Moser, “On the validity of quasi-normal approximation in a channel flow,” 55th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Dallas, November 2002

50. P. Vedula, Rene Delfos and F. T. M. Nieuwstadt, “Droplet motions in isotropic turbulence,” Proceedings of ERCOFTAC Conference on Small Particles in Turbulence, Seville, Spain, March 2002

51. R. O. Fox, P. K. Yeung and P. Vedula, “Application of an improved Lagrangian Spectral Relaxation model to differential diffusion,” 54th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, San Diego, November 2001

52. P. Vedula, Rene Delfos and F. T. M. Nieuwstadt, “Droplet dispersion in stationary isotropic turbulence,” Proceedings of Workshop on Trends in Numerical Methods in Multi-phase Flows, Cargese, France, July 2001

53. P. Vedula, P. K. Yeung and R. O. Fox, “Simulation and modeling of the joint dissipation rate in differential diffusion,” 53rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Washington DC, November 2000

54. R. O. Fox, P. K. Yeung and P. Vedula, “Lagrangian description of non-premixed passive scalars in differential diffusion: model development,” 53rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Washington DC, November 2000

55. La Porta, Alice Crawford, Greg A. Voth, P. Vedula, P. K. Yeung, “Acceleration-velocity correlations for particle trajectories in turbulence,” 53rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Washington DC, November 2000

56. P. Vedula, P. K. Yeung and R. O. Fox, “The joint dissipation rate for multiple scalars in differential diffusion, 52nd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, New Orleans, November 1999

57. P. Vedula, P. K. Yeung and K. R. Sreenivasan, “Probability distribution of vorticity in turbulence,” Centennial Meeting of the American Physical Society, Atlanta, March 1999

58. P. Vedula, P. K. Yeung and R. O. Fox, “Alignment of scalar gradients and principal strain rates in the scalar dissipation equations,” 51st Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Philadelphia, November 1998

Invited/Other Talks 

1. P. Vedula, “Introduction to Qubits and Quantum Gates,” Quantum Computing Hackathon, Ahmedabad University, India, April 2023

2. P. Vedula, “Computational tools for reliable prediction of complex hypersonic flows (Phase II),” Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, Ohio, March 2019

3. P. Vedula, “Computational tools for reliable prediction of complex hypersonic flows (Phase I),” Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, Ohio, February 2018

4. P. Vedula, “Innovations in Computational Algorithms,” School of Aerospace & Mechanical Engineering, University of Oklahoma, April 2017

5. P. Vedula, “Innovations For Fast Prediction, Control and Sensor Information Fusion in Complex Flow Systems,” School of Aerospace & Mechanical Engineering, University of Oklahoma, October 2014

6. P. Vedula, “Efficient lattice based computational methods for nonequilibrium flows,” invited talk, Department of Mathematics and Statistics, Air Force Institute of Technology, Fairborn, Ohio, February 2014

7. P. Vedula, “Lattice based computational approaches for nonequilibrium flows,” invited talk, Workshop on Issues in Solving the Boltzmann Equation for Aerospace Applications, Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University, Providence, June 2013

8. P. Vedula, “Importance sampling-based direct simulation Monte Carlo method,” invited talk, Ohio Aerospace Institute and Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, Ohio, June 2010

9. P. Vedula, “Towards efficient computational modeling paradigms for multi-physics, nonequilibrium systems,” invited talk, Ohio Aerospace Institute and Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, Ohio, June 2009

10. P. Vedula, “Modeling of translational and vibrational relaxation effects in nonequilibrium flows,” invited talk, Ohio Aerospace Institute and Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, Ohio, June 2009

11. P. Vedula, “Novel approaches for multi-scale modeling in turbulence, mixing and multi-phase flows,” invited talk, Department of Mechanical Engineering, New Mexico State University, Las Cruces, May 2006

12. P. Vedula, “Novel approaches for multi-scale modeling in turbulence, mixing and multi-phase flows,” School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, May 2006 

13. P. Vedula, “Novel approaches for optimal modeling in turbulent flows,” invited talk, Department of Mathematics, Iowa State University, Ames, April 2006

14. P. Vedula, F. Battaglia and R. O. Fox, “Modeling of nuclear fuel pellet coating for gas cooled reactors: CFD with detailed chemistry,” DOE-NERI Technical Meeting between Iowa State University and Oakridge National Laboratory, April 2006

15. P. Vedula, “Novel approaches for simulating turbulent flows,” invited talk, Department of Aerospace Engineering, University of Texas, Austin, May 2005

16. P. Vedula, “Novel approaches for simulating turbulent flows,” invited talk, Department of Mechanical Engineering, City University of New York, March 2005

17. P. Vedula, “Novel approaches for simulating turbulent flows,” invited talk, Department of Mathematics, University of California, Berkeley, January 2005

18. P. Vedula, “Novel approaches for simulating turbulent flows,” invited talk, Department of Mechanical Engineering, Oakland University, March 2004

19. P. Vedula, “Novel approaches for simulating turbulent flows,” University of Illinois, Urbana-Champaign, March 2004

20. P. Vedula, “Droplet dispersion in turbulent liquid-liquid systems,” invited talk, University of Illinois, Urbana-Champaign, October 2002

21. P. Vedula, “Droplet dispersion in turbulent liquid-liquid systems,” invited talk, TU Delft, Netherlands, April 2002

22. P. Vedula, “Fluid acceleration and scalar transport in high-resolution simulations of turbulence,” invited talk, University of Delaware, December 2000 (also at Georgia Institute of Technology, Atlanta, November 2000)

23. P. Vedula, M. S. Borgas and M. F. Hibberd, “Relative dispersion in convective boundary layers,” Seminar at CSIRO, Melbourne, Australia, January 1999