- Introduction to stochastic partial differential equations (785)
- Partial differential equations with numerical methods (324)
- THE CAHN-HILLIARD EQUATION (169)
- Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation (164)
- Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method (91)
- The stability of rational approximations of analytic semigroups (89)
- Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups (82)
- Parameter estimation in epoch folding analysis (74)
- Posterior Contraction Rates for the Bayesian Approach to Linear Ill-Posed Inverse Problems (67)
- Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise (67)
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise (64)
- Finite-Element Methods for a Strongly Damped Wave Equation (63)
- The long-time behavior of finite-element approximations of solutions of semilinear parabolic problems (63)
- Error estimates for spatially discrete approximations of semilinear parabolic equations with nonsmooth initial data (57)
- A finite element model for the time-dependent Joule heating problem (56)
- The piezoelectric capillary injector—A new hydrodynamic method for dot pattern generation (55)
- Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise (55)
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes (51)
- Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noise (51)
- Weak convergence for a spatial approximation of the nonlinear stochastic heat equation (50)
- A Trigonometric Method for the Linear Stochastic Wave Equation (47)
- Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise (47)
- Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation (44)
- Adaptive discretization of fractional order viscoelasticity using sparse time history (44)
- Finite Element Approximation of the Cahn-Hilliard-Cook Equation (40)
- Optimal Regularity for Semilinear Stochastic Partial Differential Equations with Multiplicative Noise (40)
- Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity (39)
- The discontinuous Galerkin method for semilinear parabolic problems (38)
- Duality in refined Sobolev–Malliavin spaces and weak approximation of SPDE (37)
- Resolvent estimates for elliptic finite element operators in one dimension (35)
- The behavior of finite element solutions of semilinear parabolic problems near stationary points (34)
- Interpolation of Coefficients and Transformation of the Dependent Variable in Finite Element Methods for the Non-linear Heat Equation (34)
- On the discretisation in time of the stochastic Allen-Cahn equation (31)
- On Wavelet-Galerkin Methods for Semilinear Parabolic Equations with Additive Noise (30)
- Nonsmooth Data Error Estimates With Applications To The Study Of The Long-Time Behavior Of Finite El (29)
- Pointwise a Posteriori Error Analysis for an Adaptive Penalty Finite Element Method for the Obstacle Problem (28)
- Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel (23)
- Linearly Implicit Finite Element Methods for the Time-Dependent Joule Heating Problem (22)
- Finite-element approximation of the linearized Cahn–Hilliard–Cook equation (20)
- The continuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity (20)
- Shadows, chaos, and saddles (19)
- A shadowing result with applications to finite element approximation of reaction-diffusion equations (18)
- POSTERIOR CONSISTENCY OF THE BAYESIAN APPROACH TO LINEAR ILL-POSED INVERSE PROBLEMS (17)
- Strong Convergence of a Fully Discrete Finite Element Approximation of the Stochastic Cahn-Hilliard Equation (17)
- Analytical solution for heat conduction due to a moving Gaussian heat flux with piecewise constant parameters (16)
- Spatial approximation of stochastic convolutions (16)
- Discretization of Integro-Differential Equations Modeling Dynamic Fractional Order Viscoelasticity (16)
- An Improved Method for Dipole Modeling in EEG-Based Source Localization (15)
- Weak error analysis for semilinear stochastic Volterra equations with additive noise (14)
- Numerical Solution of Parabolic Problems Based on a Weak Space-Time Formulation (13)
- Optimal closing of a pair trade with a model containing jumps (13)
- Space-time Discretization of an Integro-differential Equation Modeling Quasi-static Fractional-order Viscoelasticity (12)
- Numerical Analysis of Semilinear Parabolic Problems (12)
- The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain (10)
- Semilinear parabolic partial differential equations - theory, approximation, and application (10)
- Compressive space-time Galerkin discretizations of parabolic partial differential equations (9)
- Geometry Assurance Integrating Process Variation With Simulation of Spring-In for Composite Parts and Assemblies (9)
- On a Randomized Backward Euler Method for Nonlinear Evolution Equations with Time-Irregular Coefficients (9)
- LONG TIME BEHAVIOR OF BACKWARD DIFFERENCE TYPE METHODS FOR PARABOLIC EQUATIONS WITH MEMORY IN BANACH SPACE (9)
- Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDE (8)
- Supplement to Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation (8)
- Covariance structure of parabolic stochastic partial differential equations (8)
- NUMERICAL METHODS FOR PDE (8)
- The dual weighted residuals approach to optimal control of ordinary differential equations (7)
- On a Parameter Adaptive Extremum Controller (7)
- Erratum: Finite Element Approximation of the Cahn-Hilliard-Cook Equation (7)
- Local pointwise a posteriori gradient error bounds for the Stokes equations (6)
- Numerical shadowing near the global attractor for a semilinear parabolic equation (5)
- Geometry Assurance Integrating Process Variation with Simulation of Spring-in for Composite Parts and Assemblies (5)
- Backward euler type methods for parabolic integro-differential equations in Banach space (5)
- Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise (5)
- On the backward Euler approximation of the stochastic Allen-Cahn equation (4)
- A Weak Space-Time Formulation for the Linear Stochastic Heat Equation (4)
- Pointwise A Priori Error Estimates for the Stokes Equations in Polyhedral Domains (4)
- Discrete Variational Derivative Methods for the EPDiff Equation (3)
- On Wavelet-Galerkin methods for Semilinear Parabolic Equations with Additive Noise (3)
- Quasi-optimality of Petrov-Galerkin discretizations of parabolic problems with random coefficients (3)
- Using an adaptive FEM to determine the optimal control of a vehicle during a collision avoidance manoeuvre (2)
- Covariance structure of parabolic stochastic partial differential equations (2)
- An adaptive finite element method for nonlinear optimal control problems (2)
- Mittag-Leffler Euler Integrator for a Stochastic Fractional Order Equation with Additive Noise (2)
- A greedy algorithm for optimal heating in powder-bed-based additive manufacturing (2)
- Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations (2)
- Finite element approximation of variational inequalities in optimal control (1)
- A posteriori error analysis for the Cahn-Hilliard equation (1)
- FINITE-ELEMENT METHODS FOR A STRONGLYDAMPED WAVE EQUATION (1)
- Models and numerical procedures for nonlinear fractional order viscoelastics (1)
- ADAPTIVE DISCRETIZATION OF AN INTEGRO-DIFFERENTIAL EQUATION MODELING QUASI-STATIC FRACTIONAL ORDER VISCOELASTICITY (0)
- THE STABILITY OF RATIONALAPPROXIMATIONS OF ANALYTIC SEMIGROUPS (0)
- Book Review: Mathematics of Computation 1943--1993: A half-century of computational mathematics@@@Book Review: Afternotes on numerical analysis@@@Book Review: Navier-Stokes equations and nonlinear functional analysis@@@Book Review: Numerical solution of the incompressible Navier-Stokes equations@@@B (0)
- On Multigrid Methods for Parabolic Problems (0)
- TMS165/MSA350 Stochastic Calculus. Numerical Methods for Stochastic ODEs (0)
- On nonnegativity preservation in finite element methods for the heat equation with non-Dirichlet boundary conditions (0)
- Preservation of Strong Stability Associated with Analytic Semigroups (0)
- TMS165/MSA350 Stochastic Calculus, part I. Lectures 13–14. Numerical Methods for Stochastic ODEs (0)
- An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems (0)
- AN A POSTERIORI ERROR ESTIMATE FOR SYMPLECTIC EULER APPROXIMATION OF OPTIMAL CONTROL PROBLEMS (0)

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