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Stig Larsson

    Stig Larsson

    Chalmers University of Technology, Mathematical Sciences, Faculty Member
    Papers
    Book Review: Mathematics of Computation 1943--1993: A half-century of computational mathematicsmore
    by Stig Larsson
    Publisher: American Mathematical Society (AMS)
    Publication Date: 1997
    Publication Name: Mathematics of Computation
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    Integration of Computational Mathematics Education in the Mechanical Engineering Curriculummore
    by Stig Larsson
    Publication Date: 2011
    Research Interests:
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    The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticitymore
    by Fardin Saedpanah and Stig Larsson
    Publication Date: 2007
    Research Interests:
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    Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noisemore
    by Fardin Saedpanah and Stig Larsson
    Publication Date: 2010
    Publication Name: Siam Journal on Numerical Analysis
    Research Interests:
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    The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticitymore
    by Fardin Saedpanah and Stig Larsson
    Publication Date: 2009
    Publication Name: Ima Journal of Numerical Analysis
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    ADAPTIVE DISCRETIZATION OF AN INTEGRO-DIFFERENTIAL EQUATION MODELING QUASI-STATIC FRACTIONAL ORDER VISCOELASTICITYmore
    by Mikael Enelund and Stig Larsson
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    Space-time Discretization of an Integro-differential Equation Modeling Quasi-static Fractional-order Viscoelasticitymore
    by Mikael Enelund and Stig Larsson
    Publication Date: 2008
    Publication Name: Journal of Vibration and Control
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    A posteriori error analysis for the Cahn-Hilliard equationmore
    by Stig Larsson
    Abstract. The Cahn-Hilliard equation is discretized by a Galerkin fi-nite element method based on continuous piecewise linear functions in space and discontinuous piecewise constant functions in time. A posteri-ori error estimates are... more
    Abstract. The Cahn-Hilliard equation is discretized by a Galerkin fi-nite element method based on continuous piecewise linear functions in space and discontinuous piecewise constant functions in time. A posteri-ori error estimates are proved by using the methodology of dual ...
    Backward Euler type methods for parabolic integro-differential equations in Banach spacemore
    by Stig Larsson
    Research Interests:
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    The pedagogical implications of using MatLab in integrated chemistry and matehamatics coursesmore
    by Stig Larsson
    ... The number of answers to this question rose from 33 in 2003 to 43 in 2004. ... Albertsson, Claes Johnson, Kenneth Eriksson, Niklas Ericsson, Nils Svanstedt, Mohammad Asadzadeh, Fredrik Bengzon, Christoffer Cromvik, Anders Logg, Karin... more
    ... The number of answers to this question rose from 33 in 2003 to 43 in 2004. ... Albertsson, Claes Johnson, Kenneth Eriksson, Niklas Ericsson, Nils Svanstedt, Mohammad Asadzadeh, Fredrik Bengzon, Christoffer Cromvik, Anders Logg, Karin Kraft, Georgios Foufas, Axel MaÊlqvist ...
    Publisher: publications.lib.chalmers.se
    Publication Date: 2005
    Publication Name: Int. J. Engrg. …
    A Finite Element Model for the Time-Dependent Joule Heating Problemmore
    by Stig Larsson
    Publication Date: 1995
    Publication Name: Mathematics of Computation
    Research Interests:
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    Weak convergence for a spatial approximation of the nonlinear stochastic heat equationmore
    by Stig Larsson
    Publication Date: 2015
    Publication Name: Mathematics of Computation
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    On the backward Euler approximation of the stochastic Allen-Cahn equationmore
    by Stig Larsson
    Publication Date: 2015
    Publication Name: Journal of Applied Probability
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    An Improved Method for Dipole Modeling in EEG-Based Source Localizationmore
    by Stig Larsson
    Publication Date: 2009
    Publication Name: IFMBE Proceedings
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    Numerical Analysis of Semilinear Parabolic Problemsmore
    by Stig Larsson
    Publication Date: 1999
    Publication Name: Springer Series in Computational Mathematics
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    Optimal closing of a pair trade with a model containing jumpsmore
    by Stig Larsson
    Publication Date: 2013
    Publication Name: Applications of Mathematics
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    On Wavelet-Galerkin Methods for Semilinear Parabolic Equations with Additive Noisemore
    by Stig Larsson
    Publication Date: 2013
    Publication Name: Springer Proceedings in Mathematics & Statistics
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    Discretization of Integro-Differential Equations Modeling Dynamic Fractional Order Viscoelasticitymore
    by Stig Larsson
    Publication Date: 2006
    Publication Name: Lecture Notes in Computer Science
    Research Interests:
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    S. Larsson (1), V. Thom\'ee (1), SZ Zhou (2)(1) Department of Mathematics, Chalmers University of Technology, G\" oteborg, Sweden;(2) Department of Applied Mathematics, Hunan University, Changsha, Hunan, Chinamore
    by Stig Larsson
    How to prepare master students in chemical and bioengineering for the unknown futuremore
    by Stig Larsson
    Models and numerical procedures for nonlinear fractional order viscoelasticsmore
    by Stig Larsson
    Pointwise A Priori Error Estimates for the Stokes Equations in Polyhedral Domainsmore
    by Stig Larsson
    II Advances in Computational Mechanics and Multi Physics-Discretization of Integro-Differential Equations Modeling Dynamic Fractional Order Viscoelasticitymore
    by Stig Larsson
    Development of a new computational mathematics education for the mechanical engineering program at Chalmers University of Technologymore
    by Stig Larsson
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    Beräkningsinriktad matematikutbildning för maskin-teknikprogrammet pa Chalmersmore
    by Stig Larsson
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    Finite element approximation of variational inequalities in optimal controlmore
    by Stig Larsson
    An adaptive finite element method for nonlinear optimal control problemsmore
    by Stig Larsson
    Integration of mathematics/numeric analysis with chemistry/chemcial engineeringmore
    by Stig Larsson
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    Pointwise a posteriori error estimates for the Stokes equations in polyhedral domainsmore
    by Stig Larsson
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    Local pointwise a posteriori gradient error bounds for the Stokes equationsmore
    by Stig Larsson
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    Covariance structure of parabolic stochastic partial differential equationsmore
    by Stig Larsson
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    Preservation of strong stability associated with analytic semigroupsmore
    by Stig Larsson
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    “A reformed mathematics education at Chalmersmore
    by Stig Larsson
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    Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDEmore
    by Stig Larsson
    Partial differential equations with numerical methods. 2003more
    by Stig Larsson
    Texts in Applied Mathematics 1. Sirovich: Introduction to Applied Mathematics. 2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. 3. Hale/Koçak: Dynamics and Bifurcations. 4. Chorin/Marsden: A Mathematical... more
    Texts in Applied Mathematics 1. Sirovich: Introduction to Applied Mathematics. 2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. 3. Hale/Koçak: Dynamics and Bifurcations. 4. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, Third ...
    On multigrid methods for parabolic problemsmore
    by Stig Larsson
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    The discrete ordinates method for the neutron transport equation in an infinite cylindrical domainmore
    by M. Asadzadeh and Stig Larsson
    ... AND S. LARSSON Step 1. Set h (x) = exp( jxj=)=jxj for x 2 R2; >0 and note that (4.3) Tg(x) = ZZ 2 0 exp( jx yj=cost) jx yj dt g(y)dy = Z 2 0 hcost ( g)](x)dt; where is the characteristic function of the set R2 and denotes... more
    ... AND S. LARSSON Step 1. Set h (x) = exp( jxj=)=jxj for x 2 R2; >0 and note that (4.3) Tg(x) = ZZ 2 0 exp( jx yj=cost) jx yj dt g(y)dy = Z 2 0 hcost ( g)](x)dt; where is the characteristic function of the set R2 and denotes convolution in R2. The functions Tg(x) and h (x) are de ned for all ...
    Research Interests:
    A computational mathematics education for students of mechanical engineeringmore
    by Mikael Enelund and Stig Larsson
    The discontinuous Galerkin method for semilinear parabolic problemsmore
    by Stig Larsson
    Research Interests:
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    Nonsmooth data error estimates with applications to the study of the long-time behavior of finite element solutions of semilinear parabolic problemsmore
    by Stig Larsson
    Publisher: Citeseer
    Publication Date: 1992
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    Numerical shadowing near the global attractor for a semilinear parabolic equationmore
    by Stig Larsson
    Publisher: Citeseer
    Publication Date: 1998
    Publication Name: preprint
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    Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problemsmore
    by Stig Larsson and Sergios Agapiou
    Publication Date: 2013
    Publication Name: Stochastic Processes and their Applications
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    Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noisemore
    by Stig Larsson
    ABSTRACT Semidiscrete nite element approximation of the linear stochas- tic wave equation with additive noise is studied in a semigroup framework. Optimal error estimates for the deterministic problem are obtained under minimal regularity... more
    ABSTRACT Semidiscrete nite element approximation of the linear stochas- tic wave equation with additive noise is studied in a semigroup framework. Optimal error estimates for the deterministic problem are obtained under minimal regularity assumptions. These are used to prove strong convergence estimates for the stochastic problem. The theory presented here applies to multi-dimensional domains and spatially correlated noise. Numerical exam- ples illustrate the theory.
    Publication Date: 2010
    Publication Name: SIAM Journal on Numerical Analysis
    Research Interests:
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    The Behavior of Finite Element Solutions of Semilinear Parabolic Problems Near Stationary Pointsmore
    by Stig Larsson
    Publication Date: 1994
    Publication Name: SIAM Journal on Numerical Analysis
    Research Interests:
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    A Trigonometric Method for the Linear Stochastic Wave Equationmore
    by Stig Larsson and David Cohen
    Publication Date: 2013
    Publication Name: SIAM Journal on Numerical Analysis
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    Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noisemore
    by Stig Larsson
    Publication Date: 2010
    Publication Name: Numerical Algorithms
    Research Interests:
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    Supplement to Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equationmore
    by Stig Larsson
    Publication Date: 1992
    Publication Name: Mathematics of Computation
    Research Interests:
    Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equationmore
    by Stig Larsson
    Publication Date: 1992
    Publication Name: Mathematics of Computation
    Research Interests:
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    Error estimates for spatially discrete approximations of semilinear parabolic equations with nonsmooth initial datamore
    by Stig Larsson
    Abstract. We consider time-continuous spatially discrete approximations by the Galerkin finite element method of initial-boundary value problems for semilinear parabolic equations with nonsmooth or incompatible initial data. We find that... more
    Abstract. We consider time-continuous spatially discrete approximations by the Galerkin finite element method of initial-boundary value problems for semilinear parabolic equations with nonsmooth or incompatible initial data. We find that the numerical solution enjoys a ...
    Publication Date: 1987
    Publication Name: Mathematics of Computation
    Research Interests:
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    Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin methodmore
    by Stig Larsson
    Publication Date: 1998
    Publication Name: Mathematics of Computation of the American Mathematical Society
    Research Interests:
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