Stig Larsson
Stig Larssons forskning handlar om numeriska metoder för lösning av partiella differentialekvationer, speciellt finita elementmetoder. För närvarande är tyngdpunkten på stokastiska partiella differentialekvationer, dvs ekvationer som störs av brus.
Visar 100 publikationer
An energy-based deep splitting method for the nonlinear filtering problem
A posteriori error analysis for the Cahn-Hilliard equation
A greedy algorithm for optimal heating in powder-bed-based additive manufacturing
Mittag-Leffler Euler Integrator for a Stochastic Fractional Order Equation with Additive Noise
On the discretisation in time of the stochastic Allen-Cahn equation
A weak space-time formulation for the linear stochastic heat equation
Numerical solution of parabolic problems based on a weak space-time formulation
Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
Duality in refined Sobolev–Malliavin spaces and weak approximation of SPDE
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
Weak error analysis for semilinear stochastic Volterra equations with additive noise
Discrete Variational Derivative Methods for the EPDiff Equation
An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems
On the discretization in time of the stochastic Allen-Cahn equation
On the backward Euler approximation of the stochastic Allen-Cahn equation
Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise
Compressive space-time Galerkin discretizations of parabolic partial differential equations
An a posteriori error estimate for symplectic Euler approximation of optimal control problems
Erratum: Finite element approximation of the Cahn-Hilliard-Cook equation
A Trigonometric Method for the Linear Stochastic Wave Equation
Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDE
Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems
On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise
A Method to Optimize Geometric Quality and Motion Feasibility of Assembly Sequences
Optimal closing of a pair trade with a model containing jumps
Local pointwise a posteriori gradient error bounds for the Stokes equations
Covariance structure of parabolic stochastic partial differential equations
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
On Wavelet-Galerkin methods for semilinear parabolic equations with additive noise
Posterior consistency of the Bayesian approach to linear ill-posed inverse problems
A trigonometric method for the linear stochastic wave equation
Covariance structure of parabolic stochastic partial differential equations
Finite element approximation of variational inequalities in optimal control
Integration of Computational Mathematics Education in the Mechanical Engineering Curriculum
Spatial approximation of stochastic convolutions
Finite element approximation of the Cahn-Hilliard-Cook equation
An adaptive finite element method for nonlinear optimal control problems
Finite-element approximation of the linearized Cahn-Hilliard-Cook equation
The dual weighted residuals approach to optimal control of ordinary differential equations
Local pointwise a posteriori gradient error bounds for the Stokes equation
Finite element approximation of the linear stochastic wave equation with additive noise
A posteriori error analysis for the Cahn-Hilliard equation
Finite element approximation of the Cahn-Hilliard-Cook equation
Spatial approximation of stochastic convolutions
Optimal closing of a pair trade with a model containing jumps
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
An improved method for dipole modeling in EEG-based source localization
Finite Element Approximation of the Linearized Cahn-Hilliard-Cook Equation
Introduction to stochastic partial differential equations
The Dual Weighted Residuals Approach to Optimal Control of Ordinary Differential Equations
Beräkningsinriktad matematikutbildning för maskinteknikprogrammet på Chalmers
A computational mathematics education for students of mechanical engineering
Discretization of integro-differential equations modeling dynamic fractional order viscoelasticity
Semilinear parabolic partial differential equations - theory, approximation, and application
Pointwise A Priori Error Estimates for the Stokes Equations in Polyhedral Domains
Models and numerical procedures for nonlinear fractional order viscoelastics
Linearly implicit finite element methods for the time-dependent Joule heating problem
The pedagogical implications of using MatLab in integrated chemistry and matehamatics courses
Models and numerical procedures for nonlinear fractional order viscoelastics
Adaptive discretization of fractional order viscoelasticity using sparse time history
How to prepare master students in chemical and bioengineering for the unknown future
Integration of mathematics/numeric analysis with chemistry/chemcial engineering.
Numerical shadowing near the global attractor for a semilinear parabolic equation
A shadowing result with applications to finite element approximation of reaction-diffusion equations
Adaptive finite element methods for parabolic problems. VI analytic semigroups
Backward euler type methods for parabolic integro-differential equations in Banach space
The stability of rational approximations of analytic semigroups
The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
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Visar 8 forskningsprojekt
Time-Evolving Stochastic Manifolds (StochMan)
Icke-lokala deterministiska och stokastiska differentialekvationer: analys och numerik
Numeriska metoder för stokastiska partiella differentialekvationer
Matematik för elektronstrålesmältning: 3D-skrivning i metall
Numerisk Analys av Stokastiska Partiella Differentialekvationer
Geometry and Computational Anatomy (GEOCA)
Approximation och simulering av Lévy-drivna SPDE
Numeriska metoder för stokastiska partiella differentialekvationer.