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Ankik Kumar Giri
Ankik Kumar Giri Assistant Professor ankikgiri.fma[at]iitr.ac.in +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
FromToDesignationOrganisation
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
AwardInstituteYear
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
DegreeSubjectUniversityYear
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
FromToDesignationOrganisationLevel
20152017Convener Department Faculty Search Committee (DFSC)
2017till dateWardenCautley Bhavan
Memberships
  • 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
Courses or Conferences Organised
Conference NameSponsored ByDate
GIAN Programme on Population Balance Equations with ApplicationsMHRD26/11/18
National International Collaboration
TopicOrganisationLevel
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. Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernel, Submitted for Publication ( With P.K. Barik and P. Laurençot)

  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, Submitted for publication   (with Vivek Kumar)

  5. Weak solutions to the continuous coagulation model with collisional breakage, Submitted for publication (with P.K. Barik)

  6. A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation, Kinetic 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 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)