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Profile
| Academic position | Full Professor |
|---|---|
| Research fields | Numerical analysis,Numerical Analysis, Optimization, Simulation |
| Keywords | Stiff ODEs and DAEs, Block implicit methods, Iterative solution of algebraic systems, Blended implicit methods, Barycentric rational interpolation |
| Honours and awards | 2025: Outstanding teacher of the University of Tabriz, awarded by the University of Tabriz, Tabriz, Iran. 2024: Outstanding researcher of East Azerbaijan Province, awarded by Governor of East Azerbaijan, Tabriz, Iran. 2024: Outstanding researcher of the University of Tabriz from international activities point of view, awarded by the University of Tabriz, Tabriz, Iran 2024: Return Fellowship from the Alexander von Humboldt Foundation (Germany) for 12 months. 2022: A research Fellowship from the Alexander von Humboldt Foundation for 18 months: Georg Forster Research Fellowship for experienced researchers – The host university: Martin Luther University, Halle (Saale), Germany. 2022: Outstanding faculty researcher, awarded by the University of Tabriz, Tabriz, Iran. 2021: Scholarship for research stays for University academics and scientists, supported by German Academic Exchange Service (DAAD), Institute for Mathematics, Martin Luther University, Halle (Saale), Germany. 2020: A financial support for scientific research to promote international exchanges, granted by the Research Fund of the University of Fribourg, Fribourg, Switzerland. 2019: A financial support for scientific research to promote international exchanges, granted by the Research Fund of the University of Fribourg, Fribourg, Switzerland. 2018: Outstanding faculty researcher, awarded by the University of Tabriz, Tabriz, Iran. 2018: Scholarship for research stays for University academics and scientists, supported by German Academic Exchange Service (DAAD), Institute for Mathematics, Martin Luther University, Halle (Saale), Germany. 2016: Scholarship for research stay at Post-Doctorate level, supported by IRO (International Relation Offce) of the University of Fribourg, Fribourg, Switzerland. 2010: Scholarship for research stay at The University of Auckland, New Zealand, supported by the Ministry of Science, Research and Technology of Iran. 2009: Scholarship for PhD students, supported by the Ministry of Science, Research and Technology of Iran. |
Current contact address
| Country | Iran |
|---|---|
| City | Tabriz |
Host during sponsorship
| Prof. Dr. Martin Arnold | Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle (Saale) |
|---|---|
| Dr. Helmut Podhaisky | Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle (Saale) |
| Start of initial sponsorship | 01/07/2022 |
Programme(s)
| 2022 | Georg Forster Research Fellowship Programme for Experienced Researchers |
|---|
Publications (partial selection)
| 2026 | A. Abdi, S.A. Hosseini, K. Hormann: Linear barycentric rational Hermite quadrature and its application to Volterra integral equations. In: J. Comput. Appl. Math., 474, 2026, 117009:1-14 |
|---|---|
| 2025 | M. Sharifi, A. Abdi, G. Hojjati: Construction of high order implicit-explicit SDIMSIMs for ODEs. In: Comp. Appl. Math., 44, 2025, 245:1-24 |
| 2025 | Z. Ghahremani, A. Abdi, G. Hojjati: Effcient numerical methods based on general linear methods for Volterra integral equations. In: Appl. Numer. Math., 216, 2025, 1-16 |
| 2025 | M. Sharifi, A. Abdi, G. Hojjati, A. Mousavi: Implicit–explicit two–step peer methods with RK stability for implicit part. In: Numerical Algor., 98, 2025, 2145-2170 |
| 2025 | A. Abdi, S.A. Hosseini, H. Podhaisky: The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids. In: Numerical Algorithms, 98, 2025, 877-902 |
| 2025 | A. Abdi, H. Podhaisky: Variable stepsize general linear methods for ODEs. In: Numerical Algorithms, to appear, 2025, |
| 2024 | M. Sharifi, A. Abdi, M. Braś, G. Hojjati: A class of explicit second derivative general linear methods for non-stiff ODEs. In: Math. Model. Anal., 29, 2024, 621-640 |
| 2024 | M. Eghbaljoo, G. Hojjati, A. Abdi: Adaptive second derivative multistep methods for solving stiff chemical problems. In: J. Math. Chem., 62, 2024, 1114-1133 |
| 2024 | M. Sharifi, A. Abdi, G. Hojjati: On the construction of diagonally implicit two–step peer methods with RK stability. In: Appl. Numer. Math. 198, 2024, 138-147 |
| 2024 | A. Moradi, A. Abdi, G. Hojjati: Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations. In: J. Sci. Comput. 98, 2024, 20:1-21 |
| 2024 | P. Khakzad, A. Moradi, A. Abdi, G. Hojjati: Strong stability preserving second derivative multistep methods. In: Numerical Algor., 100, 2024, 109-132 |
| 2024 | L. Taheri Koltape, G. Hojjati, S. Fazeli, A. Abdi: Super implicit two-step collocation methods for ordinary differential equations. In: Comp. Appl. Math., 43, 2024, 321:1-22 |
| 2024 | A. Abdi, M. Arnold, H. Podhaisky: The barycentric rational numerical differentiation formulas for stiff ODEs and DAEs. In: Numerical Algorithms, 97, 2024, 431-451 |
| 2024 | A. Abdi, J.-P. Berrut, H. Podhaisky: The barycentric rational predictor–corrector schemes for Volterra integral equations. In: Journal of Computational and Applied Mathematics, 440, 2024, 115611:1–18 |
| 2023 | R. Akbari, G. Hojjati, A. Abdi: Algebraic stability and irreducibility of second derivative methods. In: Appl. Numer. Math., 191, 2023, 45-54 |
| 2023 | M. Sharifi, A. Abdi, M. Braś, G. Hojjati: High order second derivative diagonally implicit multistage integration methods for ODEs. In: Math. Model. Anal., 28, 2023, 53-70 |
| 2023 | A. Abdi, G. Hojjati, Z. Jackiewicz, H. Podhaisky, M. Sharifi: On the implementation of explicit two-step peer methods with Runge–Kutta stability. In: Applied Numerical Mathematics, 186, 2023, 213-227 |
| 2023 | A. Moradi, A. Abdi, G. Hojjati: RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions. In: Comp. Appl. Math., 42, 2023, 193:1-27 |
| 2022 | B. Talebi, A. Abdi, G. Hojjati: Composite symmetric second derivative general linear methods for Hamiltonian systems. In: Calcolo, 59, 2022, 17:1-27 |
| 2022 | P. Ramazani, A. Abdi, G. Hojjati, A. Moradi: Explicit Nordsieck second derivative general linear methods for ODEs. In: ANZIAM J., 64, 2022, 69-88 |
| 2022 | A. Abdi, J.-P. Berrut, S.A. Hosseini: Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations. In: Appl. Numer. Math., 174, 2022, 127-141 |
| 2022 | A. Abdi, G. Hojjati, L. Taheri Koltape: Extended SDBDF-type methods based on linear barycentric rational interpolants for ODEs. In: Bull. Iranian Math. Soc., 48, 2022, 3255-3268 |
| 2022 | T. Majidi, A. Abdi, G. Hojjati: Generalized second derivative linear multistep methods for ordinary differential equations. In: Numerical Algor., 91, 2022, 227-250 |
| 2022 | A. Abdi, G. Hojjati, G. Izzo, Z. Jackiewicz: Global error estimation for explicit general linear methods. In: Numerical Algor., 89, 2022, 1075-1093 |
| 2022 | A. Abdi, G. Hojjati, G. Izzo, Z. Jackiewicz: Global error estimation for explicit second derivative general linear methods. In: Numerical Algor., 90, 2022, |
| 2022 | A. Moradi, A. Abdi, G. Hojjati: High-order explicit second derivative methods with strong stability properties based on Taylor series conditions. In: ANZIAM J., 64, 2022, 264-291 |
| 2022 | A. Moradi, A. Abdi, G. Hojjati: Implicit-explicit second derivative general linear methods with strong stability preserving explicit part. In: Appl. Numer. Math. 181, 2022, 23-45 |
| 2022 | A. Abdi, D. Conte, R. D’Ambrosio, B. Paternoster: Multivalue second derivative collocation methods. In: Appl. Numer. Math., 182, 2022, 344-355 |
| 2022 | A. Moradi, A. Abdi, G. Hojjati: Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability. In: Comp. Appl. Math., 41, 2022, 135:1–23 |
| 2021 | A.Y.J. Almasoodi, A. Abdi, G. Hojjati: A GLMs-based difference-quadrature scheme for Volterra integro-differential equations. In: Appl. Numer. Math. 163, 2021, 292–302 |
| 2021 | Z. Esmaeelzadeh, A. Abdi, G. Hojjati: EBDF-type methods based on the linear barycentric rational interpolants for stiff IVPs, . In: J. Appl. Math. Comput., 66, 2021, 835–851 |
| 2021 | A. Abdi, D. Conte: Implementation of general linear methods for Volterra integral equations. In: J. Comput. Appl. Math., 386, 2021, 113261:1–12 |
| 2021 | A. Moradi, J. Farzi, A. Abdi: Order conditions for second derivative general linear methods, . In: J. Comput. Appl. Math., 387, 2021, 112488:1–16 |
| 2021 | A. Abdi: Recent advances in the numerical solution of Volterra integral equations. In: J. Math. Model., 9, 2021, 361—373 |
| 2021 | A. Abdi, G. Hojjati: Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants. In: Numerical Algor., 87, 2021, 1577–1591 |
| 2021 | A. Jalilian, A. Abdi, G. Hojjati: Variable stepsize SDIMSIMs for ordinary differential equations. In: Appl. Numer. Math. 168, 2021, 115–126 |
| 2020 | A. Abdi, D. Conte: Implementation of second derivative general linear methods. In: Calcolo 57, 2020, 20:1–29 |
| 2020 | A. Abdi, G. Hojjati, M. Sharifi: Implicit-explicit second derivative diagonally implicit multistage integration methods. In: Comp. Appl. Math., 39, 2020, 228:1–15 |
| 2020 | A. Abdi, S.A. Hosseini, H. Podhaisky: Numerical methods based on the Floater–Hormann interpolants for stiff VIEs. In: Numerical Algor., 85, 2020, 867–886 |
| 2020 | A. Abdi, G. Hojjati: Projection of second derivative methods for ordinary differential equations with invariants. In: Bull. Iranian Math. Soc., 46, 2020, 99–113 |
| 2020 | A. Moradi, A. Abdi, J. Farzi: Strong stability preserving second derivative diagonally implicit multistage integration methods. In: Appl. Numer. Math., 150, 2020, 536–558 |
| 2020 | A. Moradi, A. Abdi, J. Farzi: Strong stability preserving second derivative general linear methods with Runge–Kutta stability. In: J. Sci. Comput., 85, 2020, 1:1–39 |
| 2020 | A. Moradi, M. Sharifi, A. Abdi: Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part. In: Appl. Numer. Math., 156, 2020, 14–31 |
| 2019 | A. Abdi, G. Hojjati, Z. Jackiewicz, H. Mahdi: A new code for Volterra integral equations based on natural Runge–Kutta methods. In: Appl. Numer. Math. 143, 2019, 35-50 |
| 2019 | A. Abdi, S.A. Hosseini, H. Podhaisky: Adaptive linear barycentric rational finite differences method for stiff ODEs, . In: J. Comput. Appl. Math., 357, 2019, 204–214 |
| 2019 | H. Mahdi, G. Hojjati, A. Abdi: Explicit general linear methods with a large stability region for Volterra integro-differential equations. In: Math. Model. Anal., 24, 2019, 478–493 |
| 2019 | A. Abdi: General linear methods with large stability regions for Volterra integral equations. In: Comp. Appl. Math., 38, 2019, 52:1–16 |
| 2019 | B. Talebi, A. Abdi: Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation. In: Computational Methods for Differential Equations, 7, 2019, 16–27 |
| 2019 | H. Mahdi, G. Hojjati, A. Abdi: On the numerical stability of the general linear methods for Volterra integro-differential equations. In: Appl. Numer. Math., 142, 2019, 139–150 |
| 2019 | A. Moradi, J. Farzi, A. Abdi: Strong stability preserving second derivative general linear methods. In: J. Sci. Comput., 81, 2019, 392–435 |
| 2019 | A. Abdi, Z. Jackiewicz: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge–Kutta stability, . In: Appl. Numer. Math., 136, 2019, 103– 121 |
| 2018 | B. Behzad, B. Ghazanfari, A. Abdi: Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs. In: Comp. Appl. Math., 37 2018, 5098–5112 |
| 2018 | N. Yousefzadeh, G. Hojjati, A. Abdi: Construction of implicit–explicit second derivative BDF methods. In: Bull. Iranian Math. Soc., 44 2018, 991–1006 |
| 2018 | A. Abdi, B. Behzad: Effcient Nordsieck second derivative general linear methods: Construction and implementation. In: Calcolo, 55 2018, 28:1–16 |
| 2018 | Hassan Mahdi, A. Abdi, G. Hojjati: Effcient general linear methods for a class of Volterra integro-differential equations. In: Appl. Numer. Math., 127, 2018, 95–109 |
| 2018 | N. Barghi Oskouie, G. Hojjati, A. Abdi: Effcient second derivative methods with extended stability regions for non-stiff IVPs. In: Comp. Appl. Math., 37 2018, 2001–2016 |
| 2018 | N. Barghi Oskouie, A. Abdi, G. Hojjati: Some effcient Nordsieck integration methods for IVPs. In: Iranian J. Numer. Anal. Opt., 8, 2018, 111–128 |
| 2018 | M. Hosseini Nasab, A. Abdi, G. Hojjati: Symmetric second derivative integration methods. In: J. Comput. Appl. Math., 330 2018, 618–629 |
| 2018 | A. Abdi, S.A. Hosseini: The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations. In: SIAM J. Sci. Comput., 40 2018, A1936–A1960 |
| 2018 | A. Abdi, J.-P. Berrut, S.A. Hosseini: The linear barycentric rational method for a class of delay Volterra integro-differential equations. In: J. Sci. Comput., 75 2018, 1757–1775 |
| 2017 | M. Hosseini Nasab, G. Hojjati, A. Abdi: A Class of Methods with Optimal Stability Properties for the Numerical Solution of IVPs: Construction and Implementation. In: International Journal of Computational Methods, 14 2017, 1–17 |
| 2017 | A. Movahedinejad, G. Hojjati, A. Abdi: Construction of Nordsieck second derivative general linear methods with inherent quadratic stability. In: Math. Model. Anal., 22 2017, 60–77 |
| 2017 | M. Hosseini Nasab, G. Hojjati, A. Abdi: G-symplectic second derivative general linear methods for Hamiltonian problems. J. Comput. Appl. Math., 313 2017, 486–498 |
| 2016 | A. Movahedinejad, A. Abdi, G. Hojjati: A hybrid method with optimal stability properties for the numerical solution of stiff differential systems. In: Computational Methods for Differential Equations, 4 2016, 217–229 |
| 2016 | A. Abdi, F. Fazeli, G. Hojjati: Construction of effcient general linear methods for stiff Volterra integral equations. In: J. Comput. Appl. Math., 292 2016, 417–429 |
| 2016 | A. Abdi: Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs. In: J. Comput. Appl. Math., 303 2016, 218–228 |
| 2016 | S. A. Hosseini, A. Abdi: On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations. In: Appl. Numer. Math., 100 2016, 1–13 |
| 2016 | A. Movahedinejad, G. Hojjati, A. Abdi: Second derivative general linear methods with inherent Runge–Kutta stability. In: Numerical Algor., 73 2016, 371–389 |
| 2015 | A. Abdi, G. Hojjati: High order second derivative methods with Runge–Kutta stability for the numerical solution of stiff ODEs. In: Iranian J. Numer. Anal. Opt., 5 2015, 1–10 |
| 2015 | A. Abdi, G. Hojjati: Implementation of Nordsieck second derivative methods for stiff ODEs. In: Appl. Numer. Math., 94 2015, 241–253 |
| 2015 | A. K. Ezzeddine, G. Hojjati, A. Abdi: Perturbed second derivative multistep methods. In: J. Numer. Math., 23 2015, 235–245 |
| 2014 | G. Hojjati, A. Abdi, F. Mirzaee, S. Bimesl: Numerical solution of stiff systems of differential equations arising from chemical reactions. In: Iranian J. Numer. Anal. Opt., 4 2014, 25–39 |
| 2014 | A. Abdi, M. Braś, G. Hojjati: On the construction of second derivative diagonally implicit multistage integration methods for ODEs. In: Appl. Numer. Math., 76 2014, 1–18 |
| 2014 | A. K. Ezzeddine, G. Hojjati, A. Abdi: Sequential second derivative general linear methods for stiff systems. In: Bull. Iranian Math. Soc., 40 2014, 83–100 |
| 2012 | A. Abdi, J.C. Butcher: Applications of order arrows. In: Appl. Numer. Math., 62 2012, 556–566 |
| 2012 | A. Abdi, J.C. Butcher: Order bounds for second derivative approximations. In: BIT, 52 2012, 273–281 |
| 2011 | A. Abdi, G. Hojjati: An extension of general linear methods. In: Numerical Algor., 57 2011, 149–167 |
| 2011 | A. Abdi, G. Hojjati: Maximal order for second derivative general linear methods with Runge-Kutta stability. In: Appl. Numer. Math., 61 2011, 1046–1058 |
| 2008 | A. Abdi, S. M. Hosseini: An investigation of resolution of 2-variate Gibbs phenomenon. In: Appl. Math. Comp., 203 2008, 714–732 |