Bio
Lecturer in Applied Mathematics, University College London, 2017
Starting Research Position, INRIA Paris, 2015-2017
DPhil in Mathematics, University of Oxford, 2015
Interests
Numerical analysis of partial differential equations
Stochastic control problems & Hamilton-Jacobi-Bellman equations
A posteriori error analysis & adaptivity
Publications
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2018
- 16. Time-parallel iterative solvers for parabolic evolution equations, M. Neumüller & IS, submitted for publication, 2018.
- arXiv
- 15. Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton–Jacobi–Bellman equations, IS, Journal of Scientific Computing, volume 74, issue 1, pages 145–174, 2018.
- JSC PDF © Springer arXiv HAL
2017
- 14. An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor, P. Daniel, A. Ern, IS & M. Vohralik, submitted for publication, 2017.
- arXiv HAL
- 13. On the notion of boundary conditions in comparison principles for viscosity solutions,
M. Jensen & IS, submitted for publication, 2017.
- arXiv HAL
- 12. Equilibrated flux a posteriori error estimates in L2(H1)-norms for high-order discretizations of parabolic problems, A. Ern, IS & M. Vohralik, submitted for publication, 2017.
- arXiv HAL
- 11. Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems, A. Ern, IS & M. Vohralik, SIAM Journal on Numerical Analysis, volume 55, issue 6, pages 2811-2834, 2017.
- SINUM pdf © SIAM arXiv HAL
- 10. Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H−1 source terms, A. Ern, IS & M. Vohralik, Calcolo, volume 54, issue 3, pages 1009-1025, 2017.
- Calcolo arXiv HAL
- 9. Robust and efficient preconditioners for the discontinuous Galerkin time-stepping method, IS, IMA Journal of Numerical Analysis, volume 37, issue 4, pages 1961-1985, 2017.
- IMANUM arXiv HAL
2016
- 8. Stable Discontinuous Galerkin FEM without penalty parameters, L. John, M. Neilan & IS, Numerical Mathematics and Advanced Applications 2015, pages 165-173, Springer, 2016.
- Springer arXiv HAL
- 7. A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods, P. F. Antonietti, P. Houston & IS, International Journal of Numerical Analysis and Modeling, volume 13, issue 4, pages 513–524, 2016.
- Int. J. Numer. Anal. Model.
- 6. Discontinuous Galerkin finite element methods for time-dependent Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS & E. Süli, Numerische Mathematik, volume 133, issue 1, pages 141-176, 2016.
- Numer. Math. arXiv
2013-2015
- 5. Discontinuous Galerkin finite element approximation of Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS, DPhil Thesis, University of Oxford, 2015.
-
Oxford Thesis Repository
- 4. Discontinuous Galerkin finite element approximation of Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS and E. Süli, SIAM Journal on Numerical Analysis, volume 52, issue 2, pages 993–1016, 2014.
- SINUM pdf © SIAM
- 3. Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordes coefficients, IS and E. Süli, SIAM Journal on Numerical Analysis, volume 51, issue 4, pages 2088–2106, 2013.
- SINUM pdf © SIAM
- 2. Finite element methods with artificial diffusion for Hamilton–Jacobi–Bellman equations, M. Jensen and IS, Numerical Mathematics and Advanced Applications 2011, pages 267-274, Springer, 2013.
- Springer arXiv
- 1. On the convergence of finite element methods for Hamilton–Jacobi–Bellman equations, M. Jensen and IS, SIAM Journal on Numerical Analysis, volume 51, issue 1, pages 137–162, 2013.
- SINUM pdf © SIAM