Ankik Kumar Giri - Department of Mathematics,Indian Institute of Technology Roorkee
Ankik Kumar Giri
Ankik Kumar Giri Associate professor
Areas of Interest
  • Partial Integro-Differential Equations, Coagulation-Fragmenation Models: Well-posedness, Regularity, Mass-conservation, Gelation, Large time behaviour, Stationary solutions, Self-similar profiles, Numerical Methods, Error Analysis, Stochastic Partial Differential Equations: Well-posedness, Regularity and Convergence Analysis of Numerical Methods, Regularization Theory for Inverse Problems: Variational Regularization and Iterative regularization, Stability Estimates, Regularized Solutions, Convergence, Convergence Rates
Professional Background
2019-12-17OngoingAssociate ProfessorDepartment of Mathematics, IIT Roorke
2019-06-2321 daysVisiting ResearcherWeierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany
2018-07-0114 daysVisiting ResearcherCAMGSD at IST-Lisbon, Portugal
2018-06-2010 daysVisiting ResearcherUniversity of Picardie Jules Verne, Amiens, France
2016-09-052 daysVisiting ResearcherMax-Planck Institute Leipzig, Germany
2014-06-235 years 5 months 23 daysAssistant ProfessorDepartment of Mathematics, IIT Roorkee, India
2012-05-012 years 1 month 29 daysResearch ScientistJohann Radon Institute for Computational and Applied Mathematics (RICAM) Austrian Academy of Science
2010-06-011 year 10 months Post Docotoral FellowChair for Applied Mathematics, Montan University Leoben, Austria
2007-07-172 years 10 months 14 daysDoctoral fellowInternational Max-Planck Research School (IMPRS), Otto-von-Guericke-University, Magdeburg, Germany
Multiple Posts
2015-01-012 years 11 months ConvenerDepartment Faculty Search Committee (DFSC)
2018-09-011 year 11 months OC website (Department)IIT Roorkee
2017-06-013 years 29 daysWardenCautley Bhavan
Honors and Awards
International Max-Planck Research School (IMPRS) Doctoral FellowshipIMPRS, Otto-von-Guericke University, Magdeburg, Germany2010
FWF Austrian Science Funds Postdoctoral FellowshipChair for Applied Mathematics, Montan University Leoben, Austria2012
Austrian Academy of Science FellowshipRICAM, Austrian Academy of Science, Linz, Austria2014
Educational Details
PhDMathematicsInternational Max-Planck Research School (IMPRS) at Otto-Von-Guericke Unversity, Magdeburg, Germany2010
M.Sc.Applied MathematicsIndian Institute of Technology Roorkee, India2005
Sponsored Research Projects
TopicFunding AgencyStart DatePeriod
Collision-induced Fragmentation and Coagulation: Dynamics and NumericsIFCAM (Indo-French Centre for Applied Mathematics)2019-082 years 11 months
Analysis and Numerical Methods for Population Balance EquationsDST-DAAD (Indo-German)2019-071 year 11 months
Coagulation-fragmentation models: Well-posedness, Numerical approximations and Asymptotic analysisSERB, India2016-102 years 11 months
  • SIAM, Member
  • International Max-Planck Reseach Schools (IMPRS), Life Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Theory of PDEsMAN-508Integrated MSc 4th yearSpring
Theory of Partial Differential EquationsMAN-518MSc Ist year MathematicsSpring
Theory of Differential EquationsMAN-903PhDSpring
Advanced Numerical Analysis/Finite Element MethodsMAN-642/MAN-630M.Sc 2nd year/Integrated MSc 5th yearAutumn
Functional AnalysisMAN-611MSc IInd year MathematicsAutumn
Mathematics IMA 001BTech 1st yearAutumn
Real Analysis IIMA 503MSc Ist year, Int. MSc IVth yearAutumn
Theory of Partial Differential EquationsMA 506MSc Ist year, Int. MSc IVth yearSpring
Mathematical MethodsMAN-002Btech 1st yearSpring
Research Scholar Groups
Scholar NameInterest
Pooja RaiPopulation balance models
Gaurav MittalInverse Problems
Mashkoor AliSemigroup theory for solving coagulation-fragmentation equations
Pratibha VermaStudies of new models in population balance
Saroj siPopulation Balance equations: Dynamics and Numerics
Ram Gopal JaiswalSelf-similar and stationary solutions to coagulation-fragmentation equations
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Date
Nonsingular and Singular Coagulation Models with Linear and Nonlinear BreakagePrasanta Kumar BarikA2014-07
On well-posedness for generalized stochastic Burgers-type equationsVivek KumarA2014-07
Visits to outside institutions
Institute VisitedPurpose of VisitDate
Weierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin, GermanyDST-DAAD project visit for Scientific collaboration with Prof. Volker John2019-06-22
Weierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin, GermanyWorkshop on Phase Transitions and Particle Systems2019-06-24
Instituto Politécnico de Bragança, Bragança, PortugalInvited Talk in ENSPM-20182018-07-08
IST-Lisbon, PortugalInvited Lecture and Research Collaboration with Prof. Fernando da Costa2018-07-01
Université de Picardie Jules Verne LAMFA CNRS, Amiens - FranceInvited Lecture & Research Collaboration with Prof. Youcef Mammeri2018-06-20
Panjab Unversity, Chandigarh, IndiaInvited talk in International Conference on Recent Advances in Theoretical and Computational Partial Differential Equations with Applications2016-12-05
Otto-von-Guericke University, Magdeburg, GermanyInvited Talk in "Conference on Recent Advances in Analysis and Numerics of Hyperbolic Conservation Laws" (In the honor of 60th Birthday of Prof. Gerald Warnecke)2016-09-08
Max-Planck Institute, Leipzig, Germanyinvited lecture and scientific collaboration with Dr. Benjamin Gess2016-09-06
IIT BhubaneswarInvited Lecture series in GIAN course on Modelling, Analysis and Simulation of Coagulant Fluid2016-07-25
IISER ThiruvananthapuramInvited Lecture Series in a Workshop on High Performance Scientific Computing2016-06-06
South Asian University, New Delhi, IndiaInvited talk in "International Conference on Current Trends in PDEs: Theory and Computation"2015-12-28
TIFR-CAM, Banalore, IndiaInvited Talk in "Conference on Computational PDEs"2015-12-21
University of Porto, PortugalContributed talk in the "joint International Meeting of AMS/EMS/SPM 2015"2015-06-10
Courses or Conferences Organised
Conference NameSponsored ByDate
West Asian Mathematical School on from Theorey to Simul"Recent Developments and Applications of PDEsCIMPA, IMU, NBHM2019-08
GIAN Programme on Population Balance Equations with ApplicationsMHRD2018-11
Indo-French Research Workshop Theory and Simulation of Hyperbolic PDEs arising in Mathematical Biology and Fluid FlowIFCAM2019-01
National International Collaboration
Gerald WarneckeOtto-von-Guericke University, Magdeburg, Germany
Philippe Laurençot Université de Toulouse, France
Erika HausenblasMontan University Leoben, Austria
Otmar ScherzerUniversity of Vienna & RICAM Linz, Austria
Jacek BanasiakUniversity of Pretoria, South Africa
Books Authored

A. K. Giri : Mathematical and numerical for coagulation-fragmentation equations, VDM Verlag Dr. Mueller, Saarbuecken, Germany, ISBN-978-3639375244, PhD thesis, 2010


Referee for International Journals
  • Mathematical Reviews/MathSciNet (AMS)
  • Proceedings of the Royal Society A
  • Journal of European Mathematical Society
  • Journal of Numerical Mathematics
  • Proceedings of the National Academy of Sciences
  • Mathematical Methods in the Applied Sciences
  • Mathematical Modelling and Analysis
  • Korean Journal of Chemical Engineering
  • Differential Equations and Dynamical Systems
  • Applications of Mathematics
  • Inverse Problems and Imaging
  • Journal of Mathematical Analysis and Applications
  • Z. Angew. Math. Phys. (ZAMP)
  • Studies in Applied Mathematics
  • Journal of Global Optimization
  • Acta Applicandae Mathematicae
Refereed Journal Papers


  1. Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates, Under revision (with P.K. Barik, P. Rai)



  1. On a generalized stochastic Burgers' equation perturbed by Volterra noise,  J. Math. Anal. Appl. 506(1), Article No. 125638, 2022 (with V. Kumar, M.T. Mohan)
  2. Convergence rates for iteratively regularized Gauss-Newton method subject to stability constraints,  J. Comput. Appl. Math. 400, Article No. 113744, 2022(with G. Mittal)
  3. Existence and non-existence for collision-induced breakage equation, SIAM J. Math. Anal. 53(4), 4605--4636, 2021 (with Ph. Laurencot)
  4. A novel two-point gradient method for regularization of inverse problems in Banach spaces, Applicable Analysis, (with G. Mittal)
  5. Existence and uniqueness of weak solutions to the singular coagulation equation with collisional breakage, NoDEA Nonlinear Differential Equations Appl. 28, Article No. 34, 2021(with P.K. Barik)

  6. Weak solutions to the collision-induced breakage equation with dominating coagulation, Journal of Differential Equations 288, 690-729, 2021 (with Ph. Laurencot)
  7. Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates, Kinetic and Related Models, 14(2):389-406, 2021 (with P.K. Barik, R. Kumar)
  8. Iteratively regularized Landweber iteration method:   Convergence analysis via Holder Stability, Applied Mathematics and Computation, 392: Article No. 125744, 2021 (with G. Mittal)
  9. On a mixed fractional Burgers type  equation with polynomial nonlinearity and perturbed by fractional Brownian sheet,  Stochastic Analysis and Applications, 39(4), 610-630, 2021  (with V. Kumar)
  10. Weak solutions to the continuous coagulation model with collisional breakageDiscrete and Continuous Dynamical Systems-Series A, 40(11), 6115-6133, 2020 (with P.K. Barik)

  11. On Variational Regularization: Finite dimension  and Holder stabilityJ. Inverse and Ill-posed Problems, 29(2): 283-294, 2021(with G. Mittal)

  12. Global classical solutions to the continuous coagulation equation with collisional breakage,  Z. Angew. Math. Phys. (ZAMP) 71: Article No. 38, 1-23, 2020  ( with P.K. Barik)

  13. Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernelProceedings of Royal Society Edinburgh A 150(4), 18-5-1825, 2020 ( with P.K. Barik and Ph. Laurençot)
  14. Generalized stochastic Burgers' equation with non-Lipschitz diffusion coefficient, Commun. Stoch. Anal., 12(3), 329-342, 2018 (with V. Kumar) 

  15. A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximationKinetic and Related Models, 11 (5), 1125-1138, 2018  (with P.K. Barik)

  16. Convergence of the cell average technique for Smoluchowski coagulation equation, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) , 49 (2), 349-372, 2015 arxiv preprint (with A.K. Nagar)

  17. On the uniqueness for coagulation and multiple fragmentation equationKinetic and Related Models (KRM)6(3): 589-599, 2013 arxiv preprint

  18. Stochastic Burger's equation with polynomial nonlinearity driven by Levy process, Commun. Stoch. Anal. (COSA), 7(1): 91-112, 2013 (with E. Hausenblas)

  19. Convergence analysis of sectional methods for solving aggregation population balance equations: The fixed pivot technique, Nonlinear Analysis: Real World Applications14: 2068-2090, 2013 (with E. Hausenblas)

  20. Weak solutions to the continuous coagulation equation with multiple fragmentation, Nonlinear Analysis: Theory, Methods and Applications, 75: 2199-2208, 2012 (with Ph. Laurençot, and G. Warnecke)

  21. Convergence of the fixed pivot technique for continuous Smoluchowski coagulation equation, Proc. Appl. Math. Mech., 11:701-702:2011   (with E. Hausenblas)

  22. Uniqueness for coagulation-fragmentation equations with strong fragmentation, Z. Angew. Math. Phys. (ZAMP) 62: 1047-1063, 2011  (with G. Warnecke)

  23. The continuous coagulation equation with multiple fragmentation, J. Math. Anal. Appl. 374: 71-87, 2011   (with J. Kumar and G. Warnecke)

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