Journal publications of Stig Larsson

2021

1. R. Forslund, A. Snis, and S. Larsson,
   A greedy algorithm for optimal heating in powder-bed-based additive manufacturing.
   J. Math. Ind. 11 (2021), Paper No. 14, 23 pp.
   [doi:10.1186/s13362-021-00110-x]
2. M. Eisenmann, M. Kovács, R. Kruse, and S.Larsson,
   Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations.
   BIT Numer. Math. (2021).
   [doi:10.1007/s10543-021-00893-w]

2020

1. M. Kovács, S. Larsson, and F. Saedpanah,
   Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise.
   SIAM J. Numer. Anal. 58 (2020), 66-85.
   [doi:10.1137/18M1177895]

2019

1. M. Eisenmann, M. Kovács, R. Kruse, and S. Larsson,
   On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients. \doiref{https://doi.org/}
   Found. Comput. Math. 19 (2019), 1387-1430.
   [doi:10.1007/s10208-018-09412-w]
2. R. Forslund, A. Snis, and S. Larsson,
   Analytical solution for heat conduction due to a moving Gaussian heat flux with piecewise constant parameters.
   Appl. Math. Model. 66 (2019), 227-240.
   [doi:10.1016/j.apm.2018.09.018]

2018

1. D. Furihata, M. Kovács, S. Larsson, and F. Lindgren,
   Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation.
   SIAM J. Numer. Anal. 56 (2018), 708-731.
   [doi:10.1137/17M1121627]
2. S. Larsson and V. Thomée,
   On nonnegativity preservation in finite element methods for the heat equation with non-Dirichlet boundary conditions,
   in Contemporary Computational Mathematics - a celebration of the 80th birthday of Ian Sloan (J. Dick, F. Y. Kuo, H. Woźniakowski, eds.), Springer-Verlag, 2018.
   [doi:10.1007/978-3-319-72456-0_35"]
3. M. Kovács, S. Larsson, and F. Lindgren,
   On the discretization in time of the stochastic Allen-Cahn equation,
   Math. Nachr. 291 (2018), 966-995.
   [doi:10.1002/mana.201600283]

2017

1. K. Kirchner, A. Lang, and S. Larsson,
   Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise,
   J. Differential Equations 262 (2017), 5896-5927. [doi:10.1016/j.jde.2017.02.021]

2016

1. S. Larsson and M. Molteni,
   Numerical solution of parabolic problems based on a weak space-time formulation,
   Comput. Methods Appl. Math. (2016). [doi:10.1515/cmam-2016-0027]
2. C. Jareteg, K. Wärmefjord, C. Cromvik, R. Söderberg, L. Lindkvist, J. S. Carlson, S. Larsson, and F. Edelvik,
   Geometry assurance integrating process variation with simulation of spring-in for composite parts and assemblies,
   J. Comput. Inform. Sci. Engg. [doi:10.1115/1.4033726]
3. R. Anton, D. Cohen, S. Larsson, and X. Wang,
   Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise,
   SIAM J. Numer. Anal. 54 (2016), 1093-1119. [doi:10.1137/15M101049X]
4. A. Andersson, M. Kovács, and S. Larsson,
   Weak error analysis for semilinear stochastic Volterra equations with additive noise,
   J. Math. Anal. Appl. 437 (2016), 1283-1304. [doi:10.1016/j.jmaa.2015.09.016]
5. S. Larsson and M. Molteni,
   A weak space-time formulation for the linear stochastic heat equation,
   Int. J. Appl. Comput. Math. (2016 electronic). [doi:10.1007/s40819-016-0134-2]
6. A. Andersson and S. Larsson,
   Weak convergence for a spatial approximation of the nonlinear stochastic heat equation,
   Math. Comp. 85 (2016), 1335-1358. [doi:10.1090/mcom/3016]
7. A. Andersson, R. Kruse, and S. Larsson,
   Duality in refined Sobolev-Malliavin spaces and weak approximation of SPDE.
   Stochastic Partial Differential Equations: Analysis and Computations 4 (2016), 113-149. [doi:10.1007/s40072-015-0065-7]

2015

1. M. Kovács, S. Larsson, and F. Lindgren,
   On the backward Euler approximation of the stochastic Allen-Cahn equation,
   J. Appl. Probab. 52 (2015), 323-338. [doi:10.1239/jap/1437658601]
2. J. Karlsson, S. Larsson, M. Sandberg, A. Szepessy, and R. Tempone,
   An a posteriori error estimate for symplectic Euler approximation of optimal control problems,
   SIAM J. Sci. Comput. 37 (2015), A946-A969. [doi:10.1137/140959481]
3. S. Larsson, M. Racheva, and F. Saedpanah,
   Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity,
   Comput. Methods Appl. Mech. Engrg. 283 (2015), 196-209. [doi:10.1016/j.cma.2014.09.018]

2014

1. M. Kovács, S. Larsson, and A. Mesforush,
   Erratum: Finite element approximation of the Cahn-Hilliard-Cook equation,
   SIAM J. Numer. Anal. 52 (2014), 2594-2597. [doi:10.1137/140968161]
   (pdf)

2013

1. S. Larsson, C. Lindberg, and M. Warfheimer,
   Optimal closing of a pair trade with a model containing jumps,
   Appl. Math. 58 (2013), 249-268. [doi:10.1007/s10492-013-0012-8]
   (pdf)
2. A. Lang, S. Larsson, and Ch. Schwab,
   Covariance structure of parabolic stochastic partial differential equations,
   Stochastic Partial Differential Equations: Analysis and Computations 1 (2013), 351-364. [doi:10.1007/s40072-013-0012-4]
   (pdf)
3. S. Agapiou, S. Larsson, and A. M. Stuart,
   Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems,
   Stochastic Process. Appl. 123 (2013), 3828-3860. [doi:10.1016/j.spa.2013.05.001]
   (pdf)
4. D. Cohen, S. Larsson, and M. Sigg,
   A trigonometric method for the linear stochastic wave equation,
   SIAM J. Numer. Anal. 51 (2013), 204-222. [doi:10.1137/12087030X]
   (pdf)
5. A. Demlow and S. Larsson,
   Local pointwise a posteriori gradient error bounds for the Stokes equations,
   Math. Comp. 82 (2013), 625-649. [doi:10.1090/S0025-5718-2012-02647-0]
   (pdf)
6. M. Kovács, S. Larsson, and F. Lindgren,
   Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes,
   BIT Numer. Math. 53 (2013), 497-525. [doi:10.1007/s10543-012-0405-1]
   (pdf)

2012

1. R. Kruse and S. Larsson,
   Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise,
   Electron. J. Probab. 17 (65) (2012), 1-19. [doi:10.1214/EJP.v17-2240]
   (pdf)
2. M. Kovács, S. Larsson, and F. Lindgren,
   Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise,
   BIT Numer. Math. 52 (2012), 85-108. [doi:10.1007/s10543-011-0344-2]
   (pdf)

2011

1. M. Kovács, S. Larsson, and A. Mesforush,
   Finite element approximation of the Cahn-Hilliard-Cook equation,
   SIAM J. Numer. Anal. 49 (2011), 2407-2429. [doi:10.1137/110828150]
   (pdf)
2. S. Larsson and A. Mesforush,
   Finite element approximation of the linearized Cahn-Hilliard-Cook equation,
   IMA J. Numer. Anal. 31 (2011), 1315-1333. [doi:10.1093/imanum/drq042]
   (pdf)
3. M. Kovács, S. Larsson, and F. Lindgren,
   Spatial approximation of stochastic convolutions,
   J. Comput. Appl. Math. 235 (2011), 3554-3570. [doi:10.1016/j.cam.2011.02.010]
   (pdf)

2010

1. S. Larsson and F. Saedpanah,
   The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity,
   IMA J. Numer. Anal. 30 (2010), 964-986. [doi: 10.1093/imanum/drp014]
   (abstract, pdf, amslatex)
2. K. Kraft and S. Larsson,
   The dual weighted residuals approach to optimal control of ordinary differential equations,
   BIT Numer. Math. 50 (2010), 587-607. [doi:10.1007/s10543-010-0270-8]
   (abstract, amslatex, pdf)
3. M. Kovács, S. Larsson, and F. Lindgren,
   Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations,
   Numer. Algorithms 53 (2010), 309-320. [doi:10.1007/s11075-009-9281-4]
   (abstract, amslatex, pdf)
4. M. Kovács, S. Larsson, and F. Saedpanah,
   Finite element approximation of the linear stochastic wave equation with additive noise,
   SIAM J. Numer. Anal. 48 (2010), 408-427. [doi:10.1137/090772241]
   (pdf)

Earlier

1. C. Johnson, S. Larsson, V. Thomée, and L. B. Wahlbin,
   Error estimates for spatially discrete approximations of
   semilinear parabolic equations with nonsmooth initial data,
   Math. Comp. 49 (1987), 331-357.
2. S. Larsson,
   The long-time behavior of finite element approximations of
   solutions to semilinear parabolic problems,
   SIAM J. Numer. Anal. 26 (1989), 348-365.
3. S. Larsson, V. Thomée, and N.-Y. Zhang,
   Interpolation of coefficients and transformation of the dependent
   variable in finite element methods for the nonlinear heat
   equation,
   Math. Methods Appl. Sci. 11 (1989), 105-124.
4. C.-M. Chen, S. Larsson, and N.-Y. Zhang,
   Error estimates of optimal order for finite element methods
   with interpolated coefficients for the nonlinear heat equation,
   IMA J. Numer. Anal. 9 (1989), 507-524.
5. S. Larsson, V. Thomée, and L. B. Wahlbin,
   Finite-element methods for a strongly damped wave equation,
   IMA J. Numer. Anal. 11 (1991), 115-142.
   (amstex, dvi, postscript)
6. M. Asadzadeh, P. Kumlin, and S. Larsson,
   The discrete ordinates method for the neutron transport equation in an
   infinite cylindrical domain,
   Math. Models Methods Appl. Sci. 2 (1992), 317-338.
   (amstex, dvi, postscript)
7. C. M. Elliott and S. Larsson,
   Error estimates with smooth and nonsmooth data for a finite element
   method for the Cahn-Hilliard equation,
   Math. Comp. 58 (1992), 603-630, S33-S36. [doi:10.2307/2153205]
   (amstex, dvi, postscript)
8. D. Estep and S. Larsson,
   The discontinuous Galerkin method for semilinear parabolic
   equations,
   RAIRO Modél. Math. Anal. Numér., 27 (1993), 35-54.
   (amstex, dvi, postscript)
9. M. Crouzeix, S. Larsson, S. Piskarev, and V. Thomée,
   The stability of rational approximations of analytic semigroups,
   BIT Numer. Math. 33 (1993), 74-84. [doi:10.1007/BF01990345]
   (amstex, dvi, postscript)
10. S. Larsson and J.-M. Sanz-Serna,
    The behavior of finite element solutions of semilinear parabolic
    problems near stationary points,
    SIAM J. Numer. Anal. 31 (1994), 1000-1018.
    (abstract, amstex, dvi, postscript)
11. M. Crouzeix, S. Larsson, and V. Thomée,
    Resolvent estimates for elliptic finite element operators
    in one dimension,
    Math. Comp. 63 (1994), 121-140.
    (amstex, dvi, postscript)
12. C. M. Elliott and S. Larsson,
    A finite element model for the time-dependent Joule heating problem,
    Math. Comp. 64 (1995), 1433-1453.
    (amstex, dvi, postscript)
13. S. Larsson, V. Thomée, and S. Z. Zhou,
    On multigrid methods for parabolic problems,
    J. Comput. Math. 13 (1995), 193-205.
    (amstex, dvi, postscript)
14. S. Larsson, V. Thomée, and L. B. Wahlbin,
    Numerical solution of parabolic integro-differential
    equations by the discontinuous Galerkin method,
    Math. Comp. 67 (1998), 45-71.
    (abstract, amslatex, dvi, postscript)
15. S. Larsson and J.-M. Sanz-Serna,
    A shadowing result with applications to finite element
    approximation of reaction-diffusion equations,
    Math. Comp. 68 (1999), 55-72.
    (abstract, amslatex, dvi, postscript)
16. N. Yu. Bakaev, S. Larsson, and V. Thomée,
    Backward Euler type methods for parabolic integro-differential
    equations in Banach space,
    RAIRO Modél. Math. Anal. Numér. 32 (1998), 85-99.
    (abstract, erratum, amstex, dvi, postscript)
17. K. Eriksson, C. Johnson, and S. Larsson,
    Adaptive finite element methods for parabolic problems. VI. Analytic semigroups,
    SIAM J. Numer. Anal. 35 (1998), 1315-1325
    ( http://epubs.siam.org/sam-bin/dbq/article/31021).
    (abstract, amslatex, dvi, postscript)
18. N. Yu. Bakaev, S. Larsson, and V. Thomée,
    Long time behavior of backward difference type methods for
    parabolic equations with memory in Banach space,
    East-West J. Numer. Math. 6 (1998), 185-206.
    (abstract, amstex, dvi, postscript)
19. D. A. French, S. Larsson, and R. H. Nochetto,
    Pointwise a posteriori error analysis for an adaptive penalty finite element method
    for the obstacle problem,
    Comput. Methods Appl. Math. 1 (2001), 18-38.
    (abstract, amslatex, dvi, pdf, postscript)
20. K. Adolfsson, M. Enelund, and S. Larsson,
    Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel,
    Comput. Methods Appl. Mech. Engrg. 192 (2003), 5285-5304.
    (abstract, amslatex, pdf)
21. K. Adolfsson, M. Enelund, and S. Larsson,
    Adaptive discretization of fractional order viscoelasticity using sparse time history,
    Comput. Methods Appl. Mech. Engrg. 193 (2004), 4567-4590.
    (abstract, amslatex, pdf)
22. G. Akrivis and S. Larsson,
    Linearly implicit finite element methods for the time-dependent Joule heating problem,
    BIT Numer. Math. 45 (2005), 429-442. [doi: 10.1007/s10543-005-0008-1]
    (abstract, amslatex, pdf, postscript)
23. M. Geissert, M. Kovács, and S. Larsson,
    Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise,
    BIT Numer. Math. 49 (2009), 343-356 [doi:10.1007/s10543-009-0227-y].
    (abstract, amslatex, pdf)
24. K. Adolfsson, M. Enelund, and S. Larsson,
    Space-time discretization of an integro-differential equation modeling quasi-static fractional order viscoelasticity,
    J. Vib. Control 14 (2008), 1631-1649. [doi:10.1177/1077546307087399]
    (abstract, amslatex, pdf, postscript)

Book review

1. Navier-Stokes equations and nonlinear functional analysis, by Roger Temam.
   CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 66, second edition
   SIAM, Philadelphia, PA, 1995.
   Math. Comp. 66 (1997), 1367-1374.
   (amslatex, postscript)