Anders Szepessy (born 1960) is a Swedish mathematician.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Anders_Szepessy.jpg/220px-Anders_Szepessy.jpg)
Szepessy received his PhD in 1989 from Chalmers University of Technology with thesis Convergence of the streamline diffusion finite element method for conservation laws under the supervision of Claes Johnson.[1][2] Szepessy is now a professor of mathematics and numerical analysis at KTH Royal Institute of Technology.[3]
His research area is applied mathematics, especially partial differential equations.[3]
Szepessy was an invited speaker at the International Congress of Mathematicians in 2006 in Madrid.[4] He was elected a member of the Royal Swedish Academy of Sciences in 2007.
Selected publications
edit- Johnson, Claes; Szepessy, Anders (1987). "On the convergence of a finite element method for a nonlinear hyperbolic conservation law". Mathematics of Computation. 49 (180): 427. doi:10.1090/S0025-5718-1987-0906180-5.
- Szepessy, Anders (1989). "An existence result for scalar conservation laws using measure valued solutions". Communications in Partial Differential Equations. 14 (10): 1329–1350. doi:10.1080/03605308908820657.
- Szepessy, Anders (1989). "Measure-valued solutions of scalar conservation laws with boundary conditions". Archive for Rational Mechanics and Analysis. 107 (2): 181–193. Bibcode:1989ArRMA.107..181S. doi:10.1007/BF00286499. S2CID 120515809.
- Szepessy, Anders (1989). "Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions". Mathematics of Computation. 53 (188): 527–545. Bibcode:1989MaCom..53..527S. doi:10.1090/S0025-5718-1989-0979941-6.
- Johnson, Claes; Szepessy, Anders; Hansbo, Peter (1990). "On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws". Mathematics of Computation. 54 (189): 107. Bibcode:1990MaCom..54..107J. doi:10.1090/S0025-5718-1990-0995210-0.
- Hansbo, Peter; Szepessy, Anders (1990). "A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations". Computer Methods in Applied Mechanics and Engineering. 84 (2): 175–192. Bibcode:1990CMAME..84..175H. doi:10.1016/0045-7825(90)90116-4.
- Szepessy, Anders; Xin, Zhouping (1993). "Nonlinear stability of viscous shock waves". Archive for Rational Mechanics and Analysis. 122 (1): 53–103. Bibcode:1993ArRMA.122...53S. doi:10.1007/BF01816555. S2CID 122130129.
- Goodman, Jonathan; Szepessy, Anders; Zumbrun, Kevin (1994). "A Remark on the Stability of Viscous Shock Waves". SIAM Journal on Mathematical Analysis. 25 (6): 1463–1467. doi:10.1137/S0036141092239648. ISSN 0036-1410.
- Johnson, Claes; Szepessy, Anders (1995). "Adaptive finite element methods for conservation laws based on a posteriori error estimates". Communications on Pure and Applied Mathematics. 48 (3): 199–234. doi:10.1002/cpa.3160480302.
- Jaffre, J.; Johnson, C.; Szepessy, A. (1995). "Convergence of the Discontinuous Galerkin Finite Element Method for Hyperbolic Conservation Laws". Mathematical Models and Methods in Applied Sciences. 05 (3): 367–386. doi:10.1142/S021820259500022X.
- Szepessy, Anders; Zumbrun, Kevin (1996). "Stability of rarefaction waves in viscous media". Archive for Rational Mechanics and Analysis. 133 (3): 249–298. doi:10.1007/BF00380894. S2CID 18558122.
- Szepessy, Anders; Tempone, Raúl; Zouraris, Georgios E. (2001). "Adaptive weak approximation of stochastic differential equations". Communications on Pure and Applied Mathematics. 54 (10): 1169–1214. doi:10.1002/cpa.10000. ISSN 0010-3640. S2CID 7182000.
References
edit- ^ Anders Szepessy at the Mathematics Genealogy Project
- ^ Szepessy, Anders (1989). Convergence of the streamline diffusion finite element method for conservation laws (PhD thesis). Gothenburg: Chalmers University of Technology. ISBN 91-7032-408-5. New Series, 0346-718X; 691.
- ^ a b Anders Szepessy website at KTH
- ^ Szepessy, Anders (2006). "Atomistic and continuum models for phase change dynamics" (PDF). Proceedings of the International Congress of Mathematicians, 2006, Madrid. Vol. 3. pp. 1563–1582.