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Ankik Kumar Giri
Ankik Kumar Giri Assistant Professor ankikgiri.fma[at] +91 1332 28 4818
Areas of Interest
  • Partial Integro-differential equations, Coagulation-Fragmenation Models
  • Partial differential equations, Stochastic PDEs
  • Inverse problems, Regularization theory for ill-posed problems
Professional Background
2014OnwardsAssistant ProfessorDepartment of Mathematics, IIT Roorkee, India
20122014Research ScientistJohann Radon Institute for Computational and Applied Mathematics (RICAM) Austrian Academy of Science
20102012`Post Docotoral FellowChair for Applied Mathematics, Montan University Leoben, Austria
20072010Doctoral fellowInternational Max-Planck Research School (IMPRS), Otto-von-Guericke-University, Magdeburg, Germany
Honors and Awards
International Max-Planck Research School (IMPRS) Doctoral FellowshipIMPRS, Otto-von-Guericke University, Magdeburg, Germany2007-2010
FWF Austrian Science Funds Postdoctoral FellowshipChair for Applied Mathematics, Montan University Leoben, Austria2010-2012
Austrian Academy of Science FellowshipRICAM, Austrian Academy of Science, Linz, Austria2012-2014
Educational Details
PhDMathematicsInternational Max-Planck Research School (IMPRS) at Otto-Von-Guericke Unversity, Magdeburg, Germany2010
M.Sc.Applied MathematicsIndian Institute of Technology Roorkee, India2005
B.Sc.Mathematics, Physics, ChemistryCCS University, Meerut, India2002
Administrative Background
20152017Convener Department Faculty Search Committee (DFSC)
2018till dateOC website (Department)IIT Roorkee
2017till dateWardenCautley Bhavan
Sponsored Research Projects
TopicFunding AgencyYear
Collision-induced Fragmentation and Coagulation: Dynamics and NumericsIFCAM (Indo-French Centre for Applied Mathematics)2019
Analysis and Numerical Methods for Population Balance EquationsDST-DAAD (Indo-German)2019
Coagulation-fragmentation models: Well-posedness, Numerical approximations and Asymptotic analysisSERB, India2016
  • SIAM, Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Theory of Partial Differential EquationsMAN-518MSc Ist year MathematicsSpring
Theory of Differential EquationsMAN-903PhDSpring
Advanced Numerical AnalysisMAN-642M.Sc 2nd yearAutumn
Mathematics IMA 001BTech 1st yearAutumn
Functional AnalysisMAN-611MSc IInd year MathematicsAutumn
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
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Year
Nonsingular and Singular Coagulation Models with Linear and Nonlinear BreakagePrasanta Kumar BarikA2014
On well-posedness for generalized stochastic Burgers-type equationsVivek KumarA2014
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 John22/6-15/7
Instituto Politécnico de Bragança, Bragança, PortugalInvited Talk in ENSPM-20189-11/7/18
**IST-Lisbon, PortugalInvited Lecture and Research Collaboration with Prof. Fernando da Costa1-12/07/18
**Université de Picardie Jules Verne LAMFA CNRS, Amiens - FranceInvited Lecture & Research Collaboration with Prof. Youcef Mammeri 20-30/6/18
**Panjab Unversity, Chandigarh, IndiaInvited talk in International Conference on Numerical Methods for Partial Differential Equations5-9/12/16
**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)8-10/9/16
**Max-Planck Institute, Leipzig, Germanyinvited lecture and scientific collaboration with Dr. Benjamin Gess 6-7/9/16
**South Asian University, New Delhi, IndiaInvited talk in "International Conference on Current Trends in PDEs: Theory and Computation"28/12/15
**TIFR-CAM, Banalore, IndiaInvited Talk in "Conference on Computational PDEs"21/12/15
**University of Porto, PortugalContributed talk in the "joint International Meeting of AMS/EMS/SPM 2015" 10-13/6/15
Courses or Conferences Organised
Conference NameSponsored ByDate
GIAN Programme on Population Balance Equations with ApplicationsMHRD26/11/18
Special Lectures Delivered
Recent Developments in the theory of population balance modelsWeierstrass Institute for Applied Analysis and Stochastics (WIAS) Berlin02/7/19
National International Collaboration
Gerald WarneckeOtto-von-Guericke University, Magdeburg, GermanyRP
Philippe Laurençot Université de Toulouse, FranceRP
Erika HausenblasMontan University Leoben, AustriaRP
Otmar ScherzerUniversity of Vienna & RICAM Linz, AustriaRP
Jacek BanasiakUniversity of Pretoria, South AfricaRP
Books Authored

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


Refereed Journal Papers


  1. Global classical solutions to the continuous coagulation equation with collisional breakageUnder Revision in  Z. Angew. Math. Phys. (ZAMP) (With P.K. Barik)

  2. Weak solutions to the continuous coagulation model with collisional breakageSubmitted for publication (with P.K. Barik)

  3. Existence and uniqueness of weak solutions to the singular coagulation equation with collisional breakage,  Submitted for publication (With P.K. Barik)

  4. Generalized stochastic Burgers' equation with non-Lipschitz diffusion coefficient, Commun. Stoch. Anal., 12(3), 329-342, 2018 (With Vivek Kumar) 

  5. Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernelProceedings of Royal Society Edinburgh A, DOI:10.1017/prm.2018.158 ( With P.K. Barik and P. Laurençot)

  6. 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)

  7. 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)

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

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

  10. 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)

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

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

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

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