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Ankik Kumar Giri
Ankik Kumar Giri Assistant Professor ankikgiri.fma[at] +91 1332 28 4818 Website
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
  • SIAM, Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Theory of Partial Differential EquationsMAN-518MSc Ist year MathematicsSpring
Theory of Differential EquationsMAN-903PhDSpring
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
Prashanth Kumar BarikCoagulation-Fragmentation equations
Vivek KumarStochastic PDEs
Pooja RaiPopulation balance models
Gaurav MittalInverse Problems
Visits to outside institutions
Institute VisitedPurpose of VisitDate
**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
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. The continuous coagulation and nonlinear multiple fragmentation equation, Submitted for publication (With P.K. Barik)

  2. Non-gelling solutions to the Smoluchowski coagulation equations with singular kernels, Manuscript in preparation ( With P.K. Barik and P. Laurençot)

  3. Existence and uniqueness of weak solutions to the continuous coagulation and collision-induced fragmentation equation with singular coagulation and breakup kernels, Submitted for publication (With P.K. Barik)

  4. Generalized stochastic Burgers' equation with non-Lipschitz diffusion coefficient, Submitted for publication   (with Vivek Kumar)

  5. Well-posedness to the continuous coagulation processes with collision-induced multiple fragmentation, Submitted for publication (with P.K. Barik)

  6. A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation, Accepted in Kinetic and Related Models  (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 equation, Kinetic 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 Applications 14: 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)