Seyyed Ahmad Hosseini

Assistant Professor, Applied Mathematics
Department of Mathematics, Faculty of Sciences

Ph.D (2013)

Applied Mathematics - Numerical Analhysis

University of Tabriz - Iran

M.Sc (2007)

Applied Mathematics - Numerical Analhysis

Tabriz - Iran

B.Sc (2005)

Applied Mathematics

University of Tabriz - Iran

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   CV
  • A. Abdi, S.A. Hosseini and H. Podhaisky, The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids , Numerical Algorithms , (2024) , ,
    Backward differential formulae (BDF) are the basis of the highly efficient schemes for the numerical solution of stiff ordinary differen- tial equations for decades. An alternative multistep schemes (RBDF) based on barycentric rational interpolation is proposed. Specifically, robust new methods of orders 1 to 5 are derived. The local trun- cation error is analyzed for variable stepsizes in order to implement a variable order, variable stepsize prototype in Matlab. Aspects of the implementation are addressed in detail. Numerical experiments illustrate that the RBDF code compares well with Matlab’s ode15s.
  • A. Abdi, J.-P. Berrut and S. A. Hosseini , Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations , Accepted for publication in Applied Numerical Mathematics , (2022) , ,
  • A. Abdi, S.A. Hosseini and H. Podhaisky, Numerical methods based on the Floater–Hormann interpolants for stiff VIEs , Numerical Algorithms , (2020) , 85 , 867–886
  • A. Abdi, S.A. Hosseini and H. Podhaisky, Adaptive linear barycentric rational finite differences method for stiff ODEs , Journal of Computational and Applied Mathematics , (2019) , 357 , 204-214
  • A. Abdi and S. A. Hosseini, The barycentric rational difference-quadrature scheme for system of‎ ‎Volterra integro-differential equations , SIAM Journal on Scientific Computing , (2018) , 40 , A1936-A1960
  • A. Abdi, J.-P. Berrut and S. A. Hosseini , The linear barycentric rational method for a class of delay Volterra integro-differential equations , Journal of Scientific Computing , (2017) , 75 , 1557-1575
  • S. A. Hosseini and A. Abdi, On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations , Applied Numerical Mathematics , (2016) , 100 , 1-13
  • S. A. Hosseini, S. Shahmorad, F. Talati, A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations , Numerical Algorithms , (2015) , 68 , 511-529
  • J.-P. Berrut, S. A. Hosseini and G. Klein, The linear barycentric rational quadrature method for Volterra integral equations , SIAM Journal on Scientific Computing , (2014) , 36 , A105--A123
  • S.A.Hosseini‎, ‎S.Shahmorad and A. Tari, ‎Existence of an Lp-solution for two dimensional integral equations of the Hammerstein type , Bulletin of the Iranian Mathematical Society , (2014) , 40 , 851-862
  • S.A.Hosseini, ‎S.Shahmorad and ‎H.Masoumi, ‎Extension of the operational Tau method for solving 1-D nonlinear transient heat conduction equations , Journal of King Saud University-Science , (2013) , 25 , 283-288
  • A. Abdi‎, ‎‎S.A. ‎Hosseini, ‎G. Hojjati, ‎A class of multivalue-multistage schemes for the numerical solution of Volterra integral equations , International conference on the Numerical Solution of ‎Differential‎‎ and Differential-Algebraic ‎Equations‎ (NUMDIFF-15)‎, , (2018/9) , ,
  • S.A. ‎Hosseini, ‎A. Abdi‎, ‎‎H. Podhaisky, ‎Rational finite differences method based on the barycentric interpolants for ODEs , International conference on the Numerical Solution of ‎Differential‎‎ and Differential-Algebraic ‎Equations‎ (NUMDIFF-15) , (2018/9) , ,
  • A. Abdi, J.-P. Berrut, S. A. Hosseini, The linear barycentric rational method for a class of delay Volterra integro-differential equations , SciCADE (Scientific Computation And Differential Equations) 2017, University of Bath, Bath, UK , (2017/9) , ,
  • S. A. Hosseini, A. Abdi, On the numerical solution of nonlinear systems of delay Volterra integro-differential equations with constant delay , CMFT 2017, Maria Curie-Skłodowska University, Lublin, Poland , (2017/7) , ,
  • A. Abdi, G. Hojjati, S. A. Hosseini, Multistage-multivalue methods with inherent stability property for ordinary differential equations , CMFT 2017, Maria Curie-Skłodowska University, Lublin, Poland , (2017/7) , ,
  • G. Hojjati, A. Abdi, S. A. Hosseini, Geometric second derivative numerical methods for solving Hamitonian problems , CMFT (Computational Methods and Function Theory) 2017, Maria Curie-Skłodowska University, Lublin, Poland , (2017/7) , ,
  • S. A. Hosseini, A. Abdi, Theoretical results on the stability of the linear barycentric rational quadrature methods , SciCADE (Scientific Computation And Differential Equations) 2015, University of Potsdam, Potsdam, Germany , (2015/9) , ,
  • S. A. Hosseini, A. Abdi, The stability behavior of the composite barycentric rational quadrature method for the numerical solution of VIEs , The 12th Seminar on Differential Equations and Dynamical Systems, University of Tabriz, Tabriz, Iran , (2015/5) , , 267-271
  • S. A. Hosseini, The composite barycentric rational quadrature method for Volterra integral equations , The 44th Annual Iranian Mathematics Conference, Ferdowsi University of Mashhad, Mashhad, Iran , (2013/8) , , 1054-1057
  • S. A. Hosseini, S. Shahmorad, Tau matrix method for 2D nonlinear Volterra- Fredholm integral equations , The 44th Annual Iranian Mathematics Conference, Ferdowsi University of Mashhad, Mashhad, Iran , (2013/8) , , 1058-1061
  • S. A. Hosseini, S. Shahmorad, A computational method for solving two dimensional nonlinear Fredholm integral equations , The 43rd Annual Iranian Mathematics Conference, University of Tabriz, Tabriz, Iran , (2012/8) , , 611-614
  • A. Abdi, S.A. Hosseini، Foundations of Numerical Analysis with MATLAB (In Persian) ، ، (1394/7/8) ، ، 1-366
  • A research fellowship for scientific exchanges program ، Swiss National Science Foundation (SNSF) ، (2023) ، Switzerland
  • Scholarship for research stays for university academics and scientists ، German Academic Exchange Service (DAAD) ، (2021) ، Germany
  • A financial support for scientific research to promote international exchanges ، Research Fund of the University of Fribourg ، (2020) ، Switzerland
  • A financial support for scientific research to promote international exchanges ، Research Fund of the University of Fribourg ، (2019) ، Switzerland
    • Le Fonds de recherche du centenaire de l'Université de Fribourg s'adresse aux chercheuses et chercheurs de l'Unifr et vise à soutenir des activités de recherche contribuant au rayonnement intellectuel de l'institution.
  • Scholarship for research stays for university academics and scientists ، German Academic Exchange Service (DAAD) ، (2018) ، Germany
    • The aim of this particular programme is to support short-term research stays and thus promote the exchange of experience and networking amongst colleagues.
  • Scholarship for research stay at Post-Doctorate level ، International Relations Office of the University of Fribourg ، (2016) ، Switzerland
  • Scholarship for research stay at PhD level ، International Relations Office of the University of Fribourg ، (2012) ، Switzerland
    Iranian Mathematical Soceity ، (2012 - cont'd) ، Iran
  • Parallel and Fast Computing، ، (2013) ، University of Tabriz ، Iran
  • Relationship between Mathematics and Industry، ، (2012) ، University of Tabriz ، Iran
  • Fatemeh Farmoudeh Yamche، BDF-type methods based on barycentric rational interpolants for initial value problems ، Golestan University ، (1402/4/25)
  • Seyyed Reza HosseiniTabar، The multivariate polynomial interpolation ، Golestan University ، (1401/6/28)
  • Fatemeh Kordi، Topics in the spectral and barycentric rational pseudospectral methods for integral equations ، Golestan University ، (1401/4/25)
  • Mahin Hasanghasemi، The linear barycentric rational collocation method for Volterra integro-differential equations ، Golestan University ، (1401/4/25)
  • Tahereh Pouraman، The linear barycentric rational quadrature method for auto-convolution Volterra integral equations ، Golestan University ، (1399/11/29)
  • Fatemeh Maghsoudlou، An extension of the linear barycentric rational interpolants and its applications ، Golestan University ، (1397/4/13)
  • Advanced Numerical Analysis ، M.Sc ، (2017) ، Department of Mathematics, Faculty of Sciences
  • Functional Analysis ، M.Sc. ، (2017) ، Department of Mathematics, Faculty of Sciences
  • Foundations of Numerical Analysis, Numerical Linear Algebra, Mathematical Software, Partial Differential Equations ، B.Sc. ، (2013) ، Department of Mathematics, Computer Sciences & Statistics, Faculty of Sciences
  • Numerical Methods for ODEs ، B.Sc. ، (2015) ، Department of Mathematics, Faculty of Sciences
  • Director of International Relations and Academic Cooperation Office ، (Dec. 2019 - Feb. 2023) ، Golestan University
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