Stig Larsson
Full Professor at
Applied Mathematics and Statistics
The research of Stig Larsson is concerned with the numerical solution of partial differential equations, in particular finite element methods. Currently his main interest is stochastic partial differential equations, that is, equations that are perturbed by noise.
Source: chalmers.se
Showing 102 publications
2020
Mittag-Leffler Euler Integrator for a Stochastic Fractional Order Equation with Additive Noise
Mihaly Kovacs, Stig Larsson, Fardin Saedpanah
SIAM Journal on Numerical Analysis. Vol. 58 (1), p. 66-85
Journal article
2019
On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients
Monika Eisenmann, Mihaly Kovacs, Raphael Kruse et al
Foundations of Computational Mathematics. Vol. 19 (6), p. 1387-1430
Journal article
2019
Analytical solution for heat conduction due to a moving Gaussian heat flux with piecewise constant parameters
Robert Forslund, Stig Larsson, Anders Snis
Applied Mathematical Modelling. Vol. 66, p. 227-240
Journal article
2019
Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations
Monika Eisenmann, Mihaly Kovacs, Raphael Kruse et al
Preprint
2019
A greedy algorithm for optimal heating in powder-bed-based additive manufacturing
Robert Forslund, Stig Larsson, Anders Snis
Preprint
2018
On nonnegativity preservation in finite element methods for the heat equation with non-Dirichlet boundary conditions
Stig Larsson, Vidar Thomee
Contemporary Computational Mathematics - a celebration of the 80th birthday of Ian Sloan
Book chapter
2018
Strong convergence of a fully discrete finite element approximation of the stochastic cahn–hilliard equation
Daisuke Furihata, Mihaly Kovacs, Stig Larsson et al
SIAM Journal on Numerical Analysis. Vol. 56 (2), p. 708-731
Journal article
2018
On the discretisation in time of the stochastic Allen-Cahn equation
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Mathematische Nachrichten. Vol. 291 (5-6), p. 966-995
Journal article
2017
Numerical solution of parabolic problems based on a weak space-time formulation
Stig Larsson, Matteo Molteni
Computational Methods in Applied Mathematics. Vol. e-pub ahead of print (1), p. 65-84
Journal article
2017
On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients
Monika Eisenmann, Mihaly Kovacs, Raphael Kruse et al
Preprint
2017
A weak space-time formulation for the linear stochastic heat equation
Stig Larsson, Matteo Molteni
International Journal of Applied and Computational Mathematics. Vol. 3 (2), p. 787-806
Journal article
2017
Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise
Kristin Kirchner, Annika Lang, Stig Larsson
Journal of Differential Equations. Vol. 262 (12), p. 5896-5927
Journal article
2016
Numerical solution of parabolic problems based on a weak space-time formulation
Stig Larsson, Matteo Molteni
Preprint
2016
Discrete Variational Derivative Methods for the EPDiff Equation
Stig Larsson, Takayasu Matsuo, Klas Modin et al
Preprint
2016
Weak error analysis for semilinear stochastic Volterra equations with additive noise
Adam Andersson, Mihaly Kovacs, Stig Larsson
Journal of Mathematical Analysis and Applications. Vol. 437 (2), p. 1283-1304
Journal article
2016
Geometry Assurance Integrating Process Variation with Simulation of Spring-In for Composite Parts and Assemblies
Cornelia Jareteg, Kristina Wärmefjord, Christoffer Cromvik et al
Journal of Computing and Information Science in Engineering. Vol. 16 (3), p. Article Number: 031003 -
Journal article
2016
Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation
Daisuke Furihata, Mihaly Kovacs, Stig Larsson et al
Preprint
2016
Duality in refined Sobolev–Malliavin spaces and weak approximation of SPDE
Adam Andersson, Raphael Kruse, Stig Larsson
Stochastic Partial Differential Equations: Analysis and Computations. Vol. 4 (1), p. 113-149
Journal article
2016
Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
R. Anton, David Cohen, Stig Larsson et al
SIAM Journal on Numerical Analysis. Vol. 54 (2), p. 1093-1119
Journal article
2016
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
Adam Andersson, Stig Larsson
Mathematics of Computation. Vol. 85 (299), p. 1335-1358
Journal article
2015
Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Stig Larsson, Milena Racheva, Fardin Saedpanah
Computer Methods in Applied Mechanics and Engineering. Vol. 283, p. 196-209
Journal article
2015
Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise
Kristin Kirchner, Annika Lang, Stig Larsson
Preprint
2015
An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems
J. Karlsson, Stig Larsson, M. Sandberg et al
SIAM Journal of Scientific Computing. Vol. 37 (2), p. A946-A969
Journal article
2015
Compressive space-time Galerkin discretizations of parabolic partial differential equations
Stig Larsson, Christoph Schwab
Preprint
2015
On the discretization in time of the stochastic Allen-Cahn equation
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Preprint
2015
On the backward Euler approximation of the stochastic Allen-Cahn equation
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Journal of Applied Probability. Vol. 52 (2), p. 323-338
Journal article
2015
Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise
Rikard Anton, David Cohen, Stig Larsson et al
Preprint
2014
Weak error analysis for semilinear stochastic Volterra equations with additive noise
Adam Andersson, Mihaly Kovacs, Stig Larsson
Preprint
2014
Erratum: Finite element approximation of the Cahn-Hilliard-Cook equation
Mihaly Kovacs, Stig Larsson, Ali Mesforush
SIAM Journal on Numerical Analysis. Vol. 52 (5), p. 2594-2597
Magazine article
2014
An a posteriori error estimate for symplectic Euler approximation of optimal control problems
Jesper Karlsson, Stig Larsson, Mattias Sandberg et al
Preprint
2014
Geometry Assurance Integrating Process Variation with Simulation of Spring-in for Composite Parts and Assemblies
Cornelia Jareteg, Kristina Wärmefjord, Christoffer Cromvik et al
Proc. of ASME 2014 International Mechanical Engineering Congress & Exposition. Vol. 2A
Paper in proceedings
2013
On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise
Mihaly Kovacs, Stig Larsson, K. Urban
Springer Proceedings in Mathematics & Statistics: Monte Carlo and Quasi-Monte Carlo Methods 2012. Vol. 65, p. 481-499
Paper in proceedings
2013
Optimal closing of a pair trade with a model containing jumps
Stig Larsson, CARL LINDBERG, Marcus M J Warfheimer
Applications of Mathematics. Vol. 58 (3), p. 249-268
Journal article
2013
A Method to Optimize Geometric Quality and Motion Feasibility of Assembly Sequences
D. Spensieri, Stig Larsson, Lars Lindkvist et al
Product Lifecycle Management: Geometric Variations, p. 191-208
Book chapter
2013
Covariance structure of parabolic stochastic partial differential equations
Annika Lang, Stig Larsson, Ch. Schwab
Stochastic Partial Differential Equations: Analysis and Computations. Vol. 1 (2), p. 351-364
Journal article
2013
Local pointwise a posteriori gradient error bounds for the Stokes equations
Alan Demlow, Stig Larsson
Mathematics of Computation. Vol. 82 (282), p. 625-649
Journal article
2013
Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
BIT Numerical Mathematics. Vol. 53 (2), p. 497-525
Journal article
2013
Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDE
Adam Andersson, Stig Larsson, Raphael Kruse
Preprint
2013
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems
Sergios Agapiou, Stig Larsson, Andrew M. Stuart
Stochastic Processes and their Applications. Vol. 123 (10), p. 3828-3860
Journal article
2013
A Trigonometric Method for the Linear Stochastic Wave Equation
David Cohen, Stig Larsson, Magdalena Sigg
SIAM Journal on Numerical Analysis. Vol. 51 (1), p. 204-222
Journal article
2012
Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
arXiv:1203.2029v1 [math.NA], p. 1-24
Preprint
2012
On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise
Mihaly Kovacs, Stig Larsson, Karsten Urban
Preprint
2012
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
Adam Andersson, Stig Larsson
Preprint
2012
Posterior consistency of the Bayesian approach to linear ill-posed inverse problems
Sergios Agapiou, Stig Larsson, Andrew M. Stuart
arXiv:1203.5753v2 [math.ST] (1203.5753), p. 1-30
Preprint
2012
Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
Raphael Kruse, Stig Larsson
Electronic Journal of Probability. Vol. 17, p. artikel nr 65-
Journal article
2012
Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
BIT (Copenhagen). Vol. 52 (1), p. 85-108
Journal article
2012
Covariance structure of parabolic stochastic partial differential equations
Annika Lang, Stig Larsson, Christoph Schwab
Preprint
2012
A trigonometric method for the linear stochastic wave equation
David Cohen, Stig Larsson, Magdalena Sigg
arXiv, p. antal sidor: 18-
Preprint
2011
Finite element approximation of the Cahn-Hilliard-Cook equation
Mihaly Kovacs, Stig Larsson, Ali Mesforush
SIAM Journal on Numerical Analysis. Vol. 49 (6), p. 2407-2429
Journal article
2011
Finite-element approximation of the linearized Cahn-Hilliard-Cook equation
Stig Larsson, Ali Mesforush
IMA Journal of Numerical Analysis. Vol. 31 (4), p. 1315-1333
Journal article
2011
Finite element approximation of variational inequalities in optimal control
Karin Kraft, Stig Larsson
Preprint
2011
Spatial approximation of stochastic convolutions
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Journal of Computational and Applied Mathematics. Vol. 235 (12), p. 3554-3570
Journal article
2011
Integration of Computational Mathematics Education in the Mechanical Engineering Curriculum
Mikael Enelund, Stig Larsson, Johan Malmqvist
Proceedings of 7th International CDIO Conference, Copenhagen, Denmark
Paper in proceedings
2011
An adaptive finite element method for nonlinear optimal control problems
Karin Kraft, Stig Larsson
Preprint
2010
Finite element approximation of the linear stochastic wave equation with additive noise
Mihaly Kovacs, Stig Larsson, Fardin Saedpanah
SIAM Journal on Numerical Analysis. Vol. 48 (2), p. 408-427
Journal article
2010
Local pointwise a posteriori gradient error bounds for the Stokes equation
Alan Demlow, Stig Larsson
Preprint
2010
A posteriori error analysis for the Cahn-Hilliard equation
Stig Larsson, Ali Mesforush
Preprint
2010
Finite element approximation of the Cahn-Hilliard-Cook equation
Mihaly Kovacs, Stig Larsson, Ali Mesforush
Preprint
2010
The dual weighted residuals approach to optimal control of ordinary differential equations
Karin Kraft, Stig Larsson
BIT (Copenhagen). Vol. 50 (3), p. 587-607
Journal article
2010
The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Stig Larsson, Fardin Saedpanah
IMA Journal of Numerical Analysis. Vol. 30 (4), p. 964-986
Journal article
2010
Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
Raphael Kruse, Stig Larsson
Preprint
2010
Spatial approximation of stochastic convolutions
Mihaly Kovacs, Fredrik Lindgren, Stig Larsson
Preprint
2010
Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noise
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Numerical Algorithms. Vol. 53 (2-3), p. 309-320
Journal article
2010
Optimal closing of a pair trade with a model containing jumps
Stig Larsson, CARL LINDBERG, Marcus M J Warfheimer
Preprint
2009
Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Preprint
2009
Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise
Matthias Geissert, Mihaly Kovacs, Stig Larsson
BIT (Copenhagen). Vol. 49 (2), p. 343-356
Journal article
2009
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
Mihaly Kovacs, Stig Larsson, Fardin Saedpanah
Preprint
2009
Finite Element Approximation of the Linearized Cahn-Hilliard-Cook Equation
Stig Larsson, Ali Mesforush
Preprint
2009
An improved method for dipole modeling in EEG-based source localization
Fredrik Edelvik, Björn O Andersson, Stefan Jakobsson et al
International Federation for Medical and Biological Engineering Proceedings. Vol. 25 (9), p. 146-149
Paper in proceedings
2008
Space-time discretization of an integro-differential equation modeling quasi-static fractional-order viscoelasticity
Mikael Enelund, Stig Larsson, Klas Adolfsson
JVC/Journal of Vibration and Control. Vol. 14 (9-10), p. 1631-1649
Journal article
2008
Strong Convergence of the Finite Element Method with Truncated Noise for Semilinear Parabolic Stochastic Equations
Mihaly Kovacs, Stig Larsson, Fredrik Lindgren
Preprint
2008
Beräkningsinriktad matematikutbildning för maskinteknikprogrammet på Chalmers
Mikael Enelund, Håkan Johansson, Stig Larsson
Ingenjörsutbildningarnas utvecklingskonferens (Sammanstält av K. Edström, J. Malmqvist och K. Pettersson). Vol. (CD), p. 15p-
Conference contribution
2008
Introduction to stochastic partial differential equations
Mihaly Kovacs, Stig Larsson
Publications of the ICMCS. Vol. 4, p. 159-232
Paper in proceedings
2008
The Dual Weighted Residuals Approach to Optimal Control of Ordinary Differential Equations
Karin Kraft, Stig Larsson
Preprint
2008
Introduction to stochastic partial differential equations
Mihaly Kovacs, Stig Larsson
Publications of the ICMCS
Magazine article
2008
Rate of Weak Convergence of the Finite Element Method for the Stochastic Heat Equation with Additive Noise
Matthias Geissert, Mihaly Kovacs, Stig Larsson
Preprint
2007
Using an adaptive FEM to determine the optimal control of a vehicle during a collision avoidance manoeuvre
Karin Kraft, Stig Larsson, Mathias R Lidberg
Linköping Universtity Electronic Press. Vol. 27 (15)
Paper in proceedings
2007
Using an adaptive FEM to determine the optimal control of a vehicle during a collision avoidance manoeuvre
Karin Kraft, Stig Larsson, Mathias R Lidberg
Preprint
2007
The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Stig Larsson, Fardin Saedpanah
Preprint
2006
Adaptive discretization of an integro-differential equation modeling quasi-static fractional order viscoelasticity
Klas Adolfsson, Mikael Enelund, Stig Larsson
Second IFAC Workshop on Fractional Differentiation and its Applications, p. 422-426
Paper in proceedings
2006
A computational mathematics education for students of mechanical engineering
Mikael Enelund, Stig Larsson
World Transactions on Engineering and Technology Education. Vol. 5 (2), p. 329-332
Journal article
2006
Semilinear parabolic partial differential equations - theory, approximation, and application
Stig Larsson
New Trends in the Mathematical and Computer Sciences (G. O. S. Ekhaguere, C. K. Ayo, and M. B. Olorunsaiye, eds.), Proceedings of an international workshop at Covenant University, Ota, Nigeria, June 18-23, 2006, Publications of the ICMCS, vol. 3, 2006, p. 153-194
Book chapter
2006
Space-time Discretization of an Integro-differential Equation Modeling Quasi-static Fractional Order Viscoelasticity
K. Adolfsson, M. Enelund, Stig Larsson
Preprint
2006
Pointwise A Priori Error Estimates for the Stokes Equations in Polyhedral Domains
Erik D. Svensson, Stig Larsson
Preprint
2006
Development of a new computational mathematics education for the mechanical engineering program at Chalmers University of Technology
Mikael Enelund, Stig Larsson
Second International CDIO Conference, Linköping University, June 13-14, 2006.
Paper in proceedings
2006
Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity
Klas Adolfsson, Mikael Enelund, Stig Larsson et al
Lecture Notes in Computer Science, Springer, ''Proceedings of Large-Scale Scientific Computations, 2005, Sozopol, Bulgaria'', I. Lirkov, S. Margenov, and J. Wasniewski (Eds.). Vol. 3743, p. 76-83
Paper in proceedings
2005
The pedagogical implications of using MatLab in integrated chemistry and matehamatics courses
Lars Öhrström, Stig Larsson, Michael Christie et al
International Journal of Engineering Education. Vol. 21 (4), p. 683-691
Journal article
2005
Models and numerical procedures for nonlinear fractional order viscoelastics
Klas Adolfsson, Mikael Enelund, Stig Larsson
FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS
Book chapter
2005
Linearly implicit finite element methods for the time-dependent Joule heating problem
Georgios Akrivis, Stig Larsson
BIT (Copenhagen). Vol. 45 (3), p. 429-442
Journal article
2004
Adaptive discretization of fractional order viscoelasticity using sparse time history
Klas Adolfsson, Mikael Enelund, Stig Larsson
Computer Methods in Applied Mechanics and Engineering. Vol. 193, p. 4567-4590
Journal article
2004
Models and numerical procedures for nonlinear fractional order viscoelastics
Klas Adolfsson, Mikael Enelund, Stig Larsson
Proceedings of First IFAC workshop on Fractional Differentiation and Its Applications, p. 277-282
Paper in proceedings
2004
How to prepare master students in chemical and bioengineering for the unknown future
Claes Niklasson, Michael Christie, Stig Larsson et al
5th International Conference on Quality, Reliability and Maintenance, p. 259-263
Paper in proceedings
2003
Integration of mathematics/numeric analysis with chemistry/chemcial engineering.
Claes Niklasson, Michael Christie, Stig Larsson et al
Preprint
2000
Pointwise a posteriori error analysis for an adaptive pentalty finite element method for the obstacle problem
Donald A. French, Stig Larsson, Ricardo H. Nochetto
Preprint
1998
Numerical shadowing near the global attractor for a semilinear parabolic equation
Stig Larsson, Sergei Yu Pilyugin
Preprint
1996
Adaptive finite element methods for parabolic problems. VI analytic semigroups
Kenneth Eriksson, Claes Johnson, Stig Larsson
Preprint
1996
A shadowing result with applications to finite element approximation of reaction-diffusion equations
Stig Larsson, J.-M. Sanz-Serna
Preprint
1996
Backward euler type methods for parabolic integro-differential equations in Banach space
Nikolai Yu. Bakaev, Stig Larsson, Vidar Thomee
Preprint
1993
The stability of rational approximations of analytic semigroups
Michel Crouzeix, Stig Larsson, Sergei Piskarev et al
BIT (Copenhagen). Vol. 33 (1), p. 74-84
Journal article
1992
The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
Mohammad Asadzadeh, Peter Jan Anders Kumlin, Stig Larsson
Mathematical Models and Methods in Applied Science. Vol. 2 (3), p. 317-338
Journal article
1992
Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation
Charles M. Elliott, Stig Larsson
Mathematics of Computation. Vol. 58 (198), p. 603–630, S33–S36.-
Journal article
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Showing 7 research projects
2019–2021
Nonlocal deterministic and stochastic differential equations: analysis and numerics
Stig Larsson
Applied Mathematics and Statistics
Swedish Research Council (VR)
2017–2020
Numerical methods for stochastic partial differential equations
David Cohen
Applied Mathematics and Statistics
Stig Larsson
Applied Mathematics and Statistics
Annika Lang
Applied Mathematics and Statistics
The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
2016–2020
Matematik för elektronstrålesmältning: 3D-skrivning i metall
Stig Larsson
Applied Mathematics and Statistics
Anders Logg
Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)
2016–2016
Numerical Analysis of Stochastic Partial Differential Equations
Annika Lang
Mathematical Sciences
Stig Larsson
Mathematical Sciences
Swedish Research Council (VR)
2015–2018
Geometry and Computational Anatomy (GEOCA)
Stig Larsson
Applied Mathematics and Statistics
Klas Modin
Applied Mathematics and Statistics
The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
European Commission (Horizon 2020)
2015–2018
Approximation and simulation of Lévy-driven SPDE
Annika Lang
Applied Mathematics and Statistics
Stig Larsson
Applied Mathematics and Statistics
Adam Andersson
Applied Mathematics and Statistics
David Bolin
Applied Mathematics and Statistics
Andreas Petersson
Applied Mathematics and Statistics
Swedish Research Council (VR)
2010–2012
Numerical methods for stochastic partial differential equations
Stig Larsson
Applied Mathematics and Statistics
Swedish Research Council (VR)
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