Stig Larsson

Professor at Chalmers, Mathematical Sciences, 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

Projects

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)

2013–2018

Numerical methods for computational anatomy

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

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)

2010–2012

Numerical methods for stochastic partial differential equations

Stig Larsson Applied Mathematics and Statistics
Swedish Research Council (VR)

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)

There might be more projects where Stig Larsson participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2017

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

Kristin Kirchner, Stig Larsson, Annika Lang
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
Computational Methods in Applied Mathematics. Vol. e-pub ahead of print (1), p. 65-84
Journal article
2016

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

Matteo Molteni, Stig Larsson
International Journal of Applied and Computational Mathematics. Vol. Epub ahead of print
Journal article
2016

Discrete Variational Derivative Methods for the EPDiff Equation

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

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

Cornelia Jareteg, Lars Lindkvist, Fredrik Edelvik et al
Journal of Computing and Information Science in Engineering. Vol. 16 (3), p. Article Number: 031003 -
Journal article
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

Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise

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

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

Stig Larsson, Raphael Kruse, Adam Andersson
Journal of Logic and Computation. Vol. 4 (1), p. 113-149
Journal article
2016

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

Stig Larsson, Adam Andersson
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

Fardin Saedpanah, Milena Racheva, Stig Larsson
Computer Methods in Applied Mechanics and Engineering. Vol. 283, p. 196-209
Journal article
2015

An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems

J. Karlsson, M. Sandberg, A. Szepessy et al
SIAM Journal of Scientific Computing. Vol. 37 (2), p. A946-A969
Journal article
2015

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

Rikard Anton, Xiaojie Wang, Stig Larsson et al
Preprint
2015

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

Fredrik Lindgren, Stig Larsson, Mihaly Kovacs
Preprint
2015

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

Fredrik Lindgren, Mihaly Kovacs, Stig Larsson
Journal of Applied Probability. Vol. 52 (2), p. 323-338
Journal article
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

Ali Mesforush, Stig Larsson, Mihaly Kovacs
SIAM Journal on Numerical Analysis. Vol. 52 (5), p. 2594-2597
Magazine article
2014

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

K. Urban, Mihaly Kovacs, Stig Larsson
Springer Proceedings in Mathematics & Statistics: Monte Carlo and Quasi-Monte Carlo Methods 2012. Vol. 65, p. 481-499
Paper in proceedings
2014

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

Jesper Karlsson, Mattias Sandberg, Raul Tempone et al
Preprint
2014

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

Kristina Wärmefjord, Stig Larsson, Rikard Söderberg et al
Proc. of ASME 2014 International Mechanical Engineering Congress & Exposition. Vol. 2A
Paper in proceedings
2013

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

Mihaly Kovacs, Fredrik Lindgren, Stig Larsson
Preprint
2013

Optimal closing of a pair trade with a model containing jumps

Marcus M J Warfheimer, Stig Larsson, CARL LINDBERG
Applications of Mathematics. Vol. 58 (3), p. 249-268
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

A Method to Optimize Geometric Quality and Motion Feasibility of Assembly Sequences

Lars Lindkvist, R. Bohlin, Stig Larsson et al
Product Lifecycle Management: Geometric Variations, p. 191-208
Chapter in monograph, book
2013

Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes

Stig Larsson, Mihaly Kovacs, Fredrik Lindgren
BIT Numerical Mathematics. Vol. 53 (2), p. 497-525
Journal article
2013

Covariance structure of parabolic stochastic partial differential equations

Annika Lang, Ch. Schwab, Stig Larsson
Journal of Logic and Computation. Vol. 1 (2), p. 351-364
Journal article
2013

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

Raphael Kruse, Stig Larsson, Adam Andersson
Preprint
2013

A Trigonometric Method for the Linear Stochastic Wave Equation

Stig Larsson, Magdalena Sigg, David Cohen
SIAM Journal on Numerical Analysis. Vol. 51 (1), p. 204-222
Journal article
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
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

Stig Larsson, Mihaly Kovacs, Karsten Urban
Preprint
2012

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

Andrew M. Stuart, Stig Larsson, Sergios Agapiou
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

Fredrik Lindgren, Stig Larsson, Mihaly Kovacs
BIT (Copenhagen). Vol. 52 (1), p. 85-108
Journal article
2012

Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise

Stig Larsson, Raphael Kruse
Electronic Journal of Probability. Vol. 17, p. artikel nr 65-
Journal article
2012

Covariance structure of parabolic stochastic partial differential equations

Annika Lang, Christoph Schwab, Stig Larsson
Preprint
2012

A trigonometric method for the linear stochastic wave equation

David Cohen, Magdalena Sigg, Stig Larsson
arXiv, p. antal sidor: 18-
Preprint
2011

Finite element approximation of the Cahn-Hilliard-Cook equation

Ali Mesforush, Stig Larsson, Mihaly Kovacs
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

Spatial approximation of stochastic convolutions

Stig Larsson, Fredrik Lindgren, Mihaly Kovacs
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

Johan Malmqvist, Stig Larsson, Mikael Enelund
Paper in proceedings
2010

A posteriori error analysis for the Cahn-Hilliard equation

Stig Larsson, Ali Mesforush
Preprint
2010

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

Mihaly Kovacs, Fardin Saedpanah, Stig Larsson
SIAM Journal on Numerical Analysis. Vol. 48 (2), p. 408-427
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

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

Spatial approximation of stochastic convolutions

Fredrik Lindgren, Mihaly Kovacs, Stig Larsson
Preprint
2010

Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noise

Mihaly Kovacs, Fredrik Lindgren, Stig Larsson
Numerical Algorithms. Vol. 53 (2-3), p. 309-320
Journal article
2010

Optimal closing of a pair trade with a model containing jumps

CARL LINDBERG, Marcus M J Warfheimer, Stig Larsson
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

Stig Larsson, Fardin Saedpanah, Mihaly Kovacs
Preprint
2009

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

Yazdan Shirvany, Stig Larsson, 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

Stig Larsson, Klas Adolfsson, Mikael Enelund
JVC/Journal of Vibration and Control. Vol. 14 (9-10), p. 1631-1649
Journal article
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

Stig Larsson, Mihaly Kovacs
Publications of the ICMCS. Vol. 4, p. 159-232
Paper in proceedings
2008

Introduction to stochastic partial differential equations

Mihaly Kovacs, Stig Larsson
Scientific journal article - non peer reviewed
2007

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

Stig Larsson, Mathias R Lidberg, Karin Kraft
Linköping Universtity Electronic Press. Vol. 27 (15)
Paper in proceedings
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
Chapter in monograph, book
2006

Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity

Milena Racheva, Stig Larsson, Mikael Enelund 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

Stig Larsson, Claes Niklasson, 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

Stig Larsson, Klas Adolfsson, Mikael Enelund
Chapter in monograph, book
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

Mikael Enelund, Stig Larsson, Klas Adolfsson
Computer Methods in Applied Mechanics and Engineering. Vol. 193, p. 4567-4590
Journal article
2004

How to prepare master students in chemical and bioengineering for the unknown future

Michael Christie, Claes Niklasson, j bowden et al
5th International Conference on Quality, Reliability and Maintenance, p. 259-263
Paper in proceedings
2004

Models and numerical procedures for nonlinear fractional order viscoelastics

Klas Adolfsson, Stig Larsson, Mikael Enelund
Proceedings of First IFAC workshop on Fractional Differentiation and Its Applications, p. 277-282
Paper in proceedings
2003

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

Michael Christie, Stig Larsson, Lars Öhrström et al
Preprint
2003

Partial differential equations with numerical methods

Vidar Thomee, Stig Larsson
Book
1996

Adaptive finite element methods for parabolic problems. VI analytic semigroups

Stig Larsson, Kenneth Eriksson, Claes Johnson
Preprint
1996

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

Vidar Thomee, Stig Larsson, Nikolai Yu. Bakaev
Preprint
1993

The stability of rational approximations of analytic semigroups

Stig Larsson, Vidar Thomee, Michel Crouzeix et al
BIT (Copenhagen). Vol. 33 (1), p. 74-84
Journal article
1992

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

Stig Larsson, Charles M. Elliott
Mathematics of Computation. Vol. 58 (198), p. 603–630, S33–S36.-
Journal article
1992

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

Stig Larsson, Peter Jan Anders Kumlin, Mohammad Asadzadeh
Mathematical Models and Methods in Applied Science. Vol. 2 (3), p. 317-338
Journal article