Stig Larsson

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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

Projects

2013–2018

Numerical methods for computational anatomy

Klas Modin Department of Mathematical Sciences, Mathematics
Anders Logg Department of Mathematical Sciences, Mathematics
Stig Larsson Department of Mathematical Sciences, Mathematics
Matteo Molteni Department of Mathematical Sciences, Mathematics
Geir Bogfjellmo Department of Mathematical Sciences, Applied Mathematics and Statistics
Milo Viviani Department of Mathematical Sciences, Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2016–2020

Matematik för elektronstrålesmältning: 3D-skrivning i metall

Stig Larsson Department of Mathematical Sciences, Applied Mathematics and Statistics
Anders Logg Department of Mathematical Sciences, Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2016–2016

Numerical Analysis of Stochastic Partial Differential Equations

Annika Lang Department of Mathematical Sciences
Stig Larsson Department of Mathematical Sciences
Swedish Research Council (VR)

2010–2012

Numerical methods for stochastic partial differential equations

Stig Larsson Department of Mathematical Sciences, Mathematics
Swedish Research Council (VR)

2015–2017

Geometry and Computational Anatomy (GEOCA)

Stig Larsson Department of Mathematical Sciences, Mathematics
Klas Modin Department of Mathematical Sciences, Mathematics
EC, Horizon 2020

2015–2018

Approximation and simulation of Lévy-driven SPDE

Annika Lang Department of Mathematical Sciences, Mathematical Statistics
Stig Larsson Department of Mathematical Sciences, Mathematics
Adam Andersson Department of Mathematical Sciences, Mathematics
David Bolin Department of Mathematical Sciences, Mathematical Statistics
Andreas Petersson Department of Mathematical Sciences, Mathematical Statistics
Swedish Research Council (VR)

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Publications

2017

Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise

Kristin Kirchner, Annika Lang, Stig Larsson et al
Journal of Differential Equations
Scientific journal article - peer reviewed
2016

Discrete Variational Derivative Methods for the EPDiff Equation

Stig Larsson, Takayasu Matsuo, Klas Modin et al
Preprint
2016

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
Scientific journal article - peer reviewed
2016

Geometry Assurance Integrating Process Variation with Simulation of Spring-In for Composite Parts and Assemblies

Cornelia Jareteg, Kristina Wärmefjord, C. Cromvik et al
Journal of Computing and Information Science in Engineering. Vol. 16 (3), p. Article Number: 031003
Scientific journal article - peer reviewed
2016

Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise

R. Anton, D. Cohen, Stig Larsson et al
Siam Journal on Numerical Analysis. Vol. 54 (2), p. 1093-1119
Scientific journal article - peer reviewed
2016

Weak error analysis for semilinear stochastic Volterra equations with additive noise

Adam Andersson, Mihaly Kovacs, Stig Larsson et al
Journal of Mathematical Analysis and Applications. Vol. 437 (2), p. 1283-1304
Scientific journal article - peer reviewed
2016

A weak space-time formulation for the linear stochastic heat equation

Stig Larsson, Matteo Molteni,
International Journal of Applied and Computational Mathematics. Vol. Epub ahead of print
Scientific journal article - peer reviewed
2016

Weak convergence for a spatial approximation of the nonlinear stochastic heat equation

Adam Andersson, Stig Larsson,
Mathematics of Computation. Vol. 85, p. 1335-1358
Scientific journal article - peer reviewed
2016

Duality in refined Sobolev–Malliavin spaces and weak approximation of SPDE

Adam Andersson, Raphael Kruse, Stig Larsson et al
Stochastic Partial Differential Equations: Analysis and Computations . Vol. 4 (1), p. 113-149
Scientific journal article - peer reviewed
2015

On the discretization in time of the stochastic Allen-Cahn equation

Mihaly Kovacs, Stig Larsson, Fredrik Lindgren et al
Preprint
2015

On the backward Euler approximation of the stochastic Allen-Cahn equation

Mihaly Kovacs, Stig Larsson, Fredrik Lindgren et al
Journal of Applied Probability. Vol. 52 (2), p. 323-338
Scientific journal article - peer reviewed
2015

An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems

J. Karlsson, Stig Larsson, M. Sandberg et al
SIAM Journal on Scientific Computing. Vol. 37 (2), p. A946-A969
Scientific journal article - peer reviewed
2015

Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise

Rikard Anton, David Cohen, Stig Larsson et al
Preprint
2015

Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity

Stig Larsson, Milena Racheva, Fardin Saedpanah et al
Computer Methods in Applied Mechanics and Engineering. Vol. 283, p. 196-209
Scientific journal article - peer reviewed
2014

Erratum: Finite element approximation of the Cahn-Hilliard-Cook equation

Mihaly Kovacs, Stig Larsson, Ali Mesforush et al
SIAM Journal on Numerical Analysis. Vol. 52 (5), p. 2594–2597
Journal/newspaper article
2014

Weak error analysis for semilinear stochastic Volterra equations with additive noise

Adam Andersson, Mihaly Kovacs, Stig Larsson 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
Conference paper - peer reviewed
2014

On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise

Mihaly Kovacs, Stig Larsson, Karsten Urban et al
Springer Proceedings in Mathematics & Statistics: Monte Carlo and Quasi-Monte Carlo Methods 2012. Vol. 65, p. 481-499
Conference paper - peer reviewed
2014

An a posteriori error estimate for symplectic Euler approximation of optimal control problems

Jesper Karlsson, Stig Larsson, Mattias Sandberg et al
Preprint
2014

A weak space-time formulation for the linear stochastic heat equation

Stig Larsson, Matteo Molteni,
Preprint
2013

Covariance structure of parabolic stochastic partial differential equations

Annika Lang, Stig Larsson, Ch. Schwab et al
Stochastic Partial Differential Equations: Analysis and Computations . Vol. 1 (2), p. 351-364
Scientific journal article - peer reviewed
2013

Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDE

Adam Andersson, Stig Larsson, Raphael Kruse et al
Preprint
2013

On the backward Euler approximation of the stochastic Allen-Cahn equation

Mihaly Kovacs, Stig Larsson, Fredrik Lindgren et al
Preprint
2013

Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems

Sergios Agapiou, Stig Larsson, Andrew M. Stuart et al
Stochastic Processes and their Applications. Vol. 123 (10), p. 3828–3860
Scientific journal article - peer reviewed
2013

Optimal closing of a pair trade with a model containing jumps

Stig Larsson, Carl Lindberg, Marcus Warfheimer et al
Applications of Mathematics. Vol. 58 (3), p. 249-268
Scientific journal article - peer reviewed
2013

A Trigonometric Method for the Linear Stochastic Wave Equation

David Cohen, Stig Larsson, Magdalena Sigg et al
SIAM Journal on Numerical Analysis. Vol. 51 (1), p. 204-222
Scientific journal article - peer reviewed
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
Scientific journal article - peer reviewed
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 et al
BIT Numerical Mathematics. Vol. 53 (2), p. 497-525
Scientific journal article - peer reviewed
2012

Covariance structure of parabolic stochastic partial differential equations

Annika Lang, Stig Larsson, Christoph Schwab et al
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
Scientific journal article - peer reviewed
2012

On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise

Mihaly Kovacs, Stig Larsson, Karsten Urban et al
Preprint
2012

Posterior consistency of the Bayesian approach to linear ill-posed inverse problems

Sergios Agapiou, Stig Larsson, Andrew M. Stuart et al
arXiv:1203.5753v2 [math.ST] (1203.5753), p. 1-30
Preprint
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 et al
arXiv:1203.2029v1 [math.NA], p. 1-24
Preprint
2012

A trigonometric method for the linear stochastic wave equation

David Cohen, Stig Larsson, Magdalena Sigg et al
arXiv, p. antal sidor: 18
Preprint
2012

Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise

Mihaly Kovacs, Stig Larsson, Fredrik Lindgren et al
BIT Numerical Mathematics. Vol. 52 (1), p. 85-108
Scientific journal article - peer reviewed
2011

Finite element approximation of the Cahn-Hilliard-Cook equation

Mihaly Kovacs, Stig Larsson, Ali Mesforush et al
SIAM Journal on Numerical Analysis. Vol. 49 (6), p. 2407-2429
Scientific journal article - peer reviewed
2011

Integration of Computational Mathematics Education in the Mechanical Engineering Curriculum

Mikael Enelund, Stig Larsson, Johan Malmqvist et al
Proceedings of 7th International CDIO Conference, Copenhagen, Denmark
Conference paper - peer reviewed
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
Scientific journal article - peer reviewed
2011

Spatial approximation of stochastic convolutions

Mihaly Kovacs, Stig Larsson, Fredrik Lindgren et al
J. Comput. Appl. Math.. Vol. 235 (12), p. 3554-3570
Scientific journal article - peer reviewed
2010

The dual weighted residuals approach to optimal control of ordinary differential equations

Karin Kraft, Stig Larsson,
BIT Numerical Mathematics . Vol. 50 (3), p. 587-607
Scientific journal article - peer reviewed
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 et al
Preprint
2010

Finite element approximation of the linear stochastic wave equation with additive noise

Mihaly Kovacs, Stig Larsson, Fardin Saedpanah et al
SIAM Journal on Numerical Analysis . Vol. 48 (2), p. 408-427
Scientific journal article - peer reviewed
2010

Optimal closing of a pair trade with a model containing jumps

Stig Larsson, Carl Lindberg, Marcus Warfheimer et al
Preprint
2010

Spatial approximation of stochastic convolutions

Mihaly Kovacs, Fredrik Lindgren, Stig Larsson et al
Preprint
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
Scientific journal article - peer reviewed
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 et al
Numerical Algorithms. Vol. 53 (2-3), p. 309-320
Scientific journal article - peer reviewed
2009

An improved method for dipole modeling in EEG-based source localization

Fredrik Edelvik, Björn Andersson, Stefan Jakobsson et al
World Congress on Medical Physics and Biomedical Engineering: Neuroengineering, Neural Systems, Rehabilitation and Prosthetics; Munich; Germany; 7 September 2009 through 12 September 2009. Vol. 25 (9), p. 146-149
Conference paper - peer reviewed
2009

Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise

Mihaly Kovacs, Stig Larsson, Fardin Saedpanah et al
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 et al
BIT Numerical Mathematics. Vol. 49 (2), p. 343-356
Scientific journal article - peer reviewed
2008

Introduction to stochastic partial differential equations

Mihaly Kovacs, Stig Larsson,
Publications of the ICMCS. Vol. 4, p. 159-232
Conference paper - peer reviewed
2008

Introduction to stochastic partial differential equations

Mihaly Kovacs, Stig Larsson,
Publications of the ICMCS
Scientific journal article - non peer reviewed
2008

Beräkningsinriktad matematikutbildning för maskinteknikprogrammet på Chalmers

Mikael Enelund, Håkan Johansson, Stig Larsson et al
Ingenjörsutbildningarnas utvecklingskonferens (Sammanstält av K. Edström, J. Malmqvist och K. Pettersson). Vol. (CD), p. 15p
Conference paper - non peer reviewed
2008

Space-time discretization of an integro-differential equation modeling quasi-static fractional-order viscoelasticity

Mikael Enelund, Stig Larsson, Klas Adolfsson et al
J. Vib. Control. Vol. 14 (9-10), p. 1631-1649
Scientific journal article - peer reviewed
2007

Using an adaptive FEM to determine the optimal control of a vehicle during a collision avoidance manoeuvre

Karin Kraft, Stig Larsson, Mathias Lidberg et al
Linköping Universtity Electronic Press. Vol. 27 (15)
Conference paper - peer reviewed
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
Chapter in monograph, book
2006

Adaptive discretization of an integro-differential equation modeling quasi-static fractional order viscoelasticity

Klas Adolfsson, Mikael Enelund, Stig Larsson et al
Second IFAC Workshop on Fractional Differentiation and its Applications, p. 422-426
Conference paper - peer reviewed
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.
Conference paper - peer reviewed
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
Scientific journal article - peer reviewed
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
Conference paper - peer reviewed
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
Scientific journal article - peer reviewed
2005

Linearly implicit finite element methods for the time-dependent Joule heating problem

Georgios Akrivis, Stig Larsson,
BIT Numerical Mathematics. Vol. 45 (3), p. 429-442
Scientific journal article - peer reviewed
2005

Models and numerical procedures for nonlinear fractional order viscoelastics

Klas Adolfsson, Mikael Enelund, Stig Larsson et al
FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS
Chapter in monograph, book
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
Conference paper - peer reviewed
2004

Models and numerical procedures for nonlinear fractional order viscoelastics

Klas Adolfsson, Mikael Enelund, Stig Larsson et al
Proceedings of First IFAC workshop on Fractional Differentiation and Its Applications, p. 277-282
Conference paper - peer reviewed
2004

Adaptive discretization of fractional order viscoelasticity using sparse time history

Klas Adolfsson, Mikael Enelund, Stig Larsson et al
Computer Methods in Applied Mechanics and Engineering. Vol. 193, p. 4567-4590
Scientific journal article - peer reviewed
2003

Integration of mathematics/numeric analysis with chemistry/chemcial engineering.

Claes Niklasson, Michael Christie, Stig Larsson et al
Preprint
2003

Partial differential equations with numerical methods

Stig Larsson, Vidar Thomée,
Monograph, book
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 et al
Preprint
1996

Adaptive finite element methods for parabolic problems. VI analytic semigroups

Kenneth Eriksson, Claes Johnson, Stig Larsson et al
Preprint
1996

Backward euler type methods for parabolic integro-differential equations in Banach space

Nikolai Yu. Bakaev, Stig Larsson, Vidar Thomée et al
Preprint
1993

The stability of rational approximations of analytic semigroups

Michel Crouzeix, Stig Larsson, Sergei Piskarev et al
BIT Numer. Math.. Vol. 33 (1), p. 74-84
Scientific journal article - peer reviewed
1992

Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation

Charles M. Elliott, Stig Larsson,
Math. Comp. . Vol. 58 (198), p. 603–630, S33–S36.
Scientific journal article - peer reviewed
1992

The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain

Mohammad Asadzadeh, Peter Kumlin, Stig Larsson et al
Mathematical Models and Methods in Applied Science. Vol. 2 (3), p. 317-338
Scientific journal article - peer reviewed