Mårten Gulliksson
Befattning: Professor Organisation: Institutionen för naturvetenskap och teknikE-post: bWFydGVuLmd1bGxpa3Nzb247b3J1LnNl
Telefon: 019 303821
Rum: T2129
Forskningsämne
Om Mårten Gulliksson
I am a professor of mathematics doing teaching and research mainly in applied mathematics. My current intrests are towards computational methods in quantum physics, finance, different aspects of inverse problems, and numerical linear algebra.
Forskningsprojekt
Pågående projekt
- Eigenstructures of LOw-RAnk matrix polynomials (ELORA)
- Nya algoritmer för att träna artificiella neurala nätverk (ANN)
- Olinjära Schrödingerekvationer
- Optimering av investeringsportföljer
- Stokastiska simuleringar av partiella differentialekvationer
Avslutade projekt
Forskargrupper
Publikationer
Artiklar i tidskrifter |
Kapitel i böcker, del av antologier |
Konferensbidrag |
Rapporter |
Artiklar i tidskrifter
- Gulliksson, M. , Oleynik, A. & Mazur, S. (2024). Portfolio Selection with a Rank-Deficient Covariance Matrix. Computational Economics, 63, 2247-2269. [BibTeX]
- Rousse, F. , Fasi, M. , Dmytryshyn, A. , Gulliksson, M. & Ögren, M. (2024). Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges. Journal of Physics A: Mathematical and Theoretical, 57 (1). [BibTeX]
- Dmytryshyn, A. , Fasi, M. & Gulliksson, M. (2022). The dynamical functional particle method for multi-term linear matrix equations. Applied Mathematics and Computation, 435. [BibTeX]
- Gulliksson, M. & Ögren, M. (2021). Dynamical representations of constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions. Journal of Physics A: Mathematical and Theoretical, 54 (27). [BibTeX]
- Ögren, M. & Gulliksson, M. (2020). A numerical damped oscillator approach to constrained Schrödinger equations. European journal of physics, 41 (6). [BibTeX]
- Gulliksson, M. & Mazur, S. (2020). An Iterative Approach to Ill-Conditioned Optimal Portfolio Selection. Computational Economics, 56, 773-794. [BibTeX]
- Zhang, Y. , Gong, R. , Gulliksson, M. & Cheng, X. (2019). A coupled complex boundary expanding compacts method for inverse source problems. Journal of Inverse and Ill-Posed Problems, 27 (1), 67-86. [BibTeX]
- Baravdish, G. , Svensson, O. , Gulliksson, M. & Zhang, Y. (2019). Damped second order flow applied to image denoising. IMA Journal of Applied Mathematics, 84 (6), 1082-1111. [BibTeX]
- Ögren, M. , Jha, D. , Dobberschütz, S. , Müter, D. , Carlsson, M. , Gulliksson, M. , Stipp, S. & Sørensen, H. (2019). Numerical simulations of NMR relaxation in chalk using local Robin boundary conditions. Journal of magnetic resonance, 308. [BibTeX]
- Zhang, Y. , Gong, R. , Cheng, X. & Gulliksson, M. (2018). A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations. Inverse Problems, 34 (6). [BibTeX]
- Cheng, X. , Lin, G. , Zhang, Y. , Gong, R. & Gulliksson, M. (2018). A modified coupled complex boundary method for an inverse chromatography problem. Journal of Inverse and Ill-Posed Problems, 26 (1), 33-49. [BibTeX]
- Lin, G. , Zhang, Y. , Cheng, X. , Gulliksson, M. , Forssén, P. & Fornstedt, T. (2018). A regularizing Kohn–Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography. Applicable Analysis, 97 (1), 13-40. [BibTeX]
- Zhang, Y. , Fornstedt, T. , Gulliksson, M. & Dai, X. (2018). An adaptive regularization algorithm for recovering the rate constant distribution from biosensor data. Inverse Problems in Science and Engineering, 26 (10), 1464-1489. [BibTeX]
- Roussou, A. , Smyrnakis, I. , Magiropoulos, M. , Efremidis, N. , Kavoulakis, G. , Sandin, P. , Ögren, M. & Gulliksson, M. (2018). Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry. New Journal of Physics, 20. [BibTeX]
- Dai, X. , Zhang, C. , Zhang, Y. & Gulliksson, M. (2018). Topology optimization of steady Navier-Stokes flow via a piecewise constant level set method. Structural and multidisciplinary optimization (Print), 57 (6), 2193-2203. [BibTeX]
- Zhang, Y. , Lin, G. , Gulliksson, M. , Forssén, P. , Fornstedt, T. & Cheng, X. (2017). An adjoint method in inverse problems of chromatography. Inverse Problems in Science and Engineering, 25 (8), 1112-1137. [BibTeX]
- Sandin, P. , Ögren, M. , Gulliksson, M. , Smyrnakis, J. , Magiropoulos, M. & Kavoulakis, G. M. (2017). Dimensional reduction in Bose-Einstein condensed clouds of atoms confined in tight potentials of any geometry and any interaction strength. Physical Review E, 95 (1). [BibTeX]
- Gulliksson, M. & Oleynik, A. (2017). Greedy Gauss-Newton algorithms for finding sparse solutions to nonlinear underdetermined systems of equations. Optimization, 66 (7), 1201-1217. [BibTeX]
- Gulliksson, M. (2017). The Discrete Dynamical Functional Particle Method for Solving Constrained Optimization Problems. Dolomites Research Notes on Approximation, 10, 6-12. [BibTeX]
- Zhang, Y. , Guang-Liang, L. , Forssén, P. , Gulliksson, M. , Fornstedt, T. & Cheng, X. (2016). A regularization method for the reconstruction of adsorption isotherms in liquid chromatography. Inverse Problems, 32 (10). [BibTeX]
- Gulliksson, M. , Holmbom, A. , Persson, J. & Zhang, Y. (2016). A separating oscillation method of recovering the G-limit in standard and non-standard homogenization problems. Inverse Problems, 32 (2). [BibTeX]
- Sandin, P. , Ögren, M. & Gulliksson, M. (2016). Numerical solution of the stationary multicomponent nonlinear Schrodinger equation with a constraint on the angular momentum. Physical Review E, 93 (3). [BibTeX]
- Zhang, Y. , Gulliksson, M. , Hernandez Bennetts, V. & Schaffernicht, E. (2016). Reconstructing gas distribution maps via an adaptive sparse regularization algorithm. Inverse Problems in Science and Engineering, 24 (7), 1186-1204. [BibTeX]
Kapitel i böcker, del av antologier
- Gulliksson, M. , Ögren, M. , Oleynik, A. & Zhang, Y. (2019). Damped Dynamical Systems for Solving Equations and Optimization Problems. I: Bharath Sriraman, Handbook of the Mathematics of the Arts and Sciences. . Springer. [BibTeX]
Konferensbidrag
- Lockby, A. , Sandin, P. , Ögren, M. & Gulliksson, M. (2016). Finding Stationary Solutions of PDEs with Constraints using Damped Dynamical Systems. I: Comsol Conference 2016. Konferensbidrag vid Comsol Conference 2016, Münich, Germany, October 12-14 2016. [BibTeX]
Rapporter
- Gulliksson, M. , Mazur, S. & Oleynik, A. (2024). Minimum VaR and minimum CvaR optimal portfolios: The case of singular covariance matrix. Örebro: Örebro University School of Business (Working Papers, School of Business 9/2024). [BibTeX]
- Gulliksson, M. , Oleynik, A. & Mazur, S. (2021). Portfolio Selection with a Rank-deficient Covariance Matrix. Örebro: Örebro University, School of Business (Working Papers, School of Business 12). [BibTeX]