Per Lötstedt
Professor emeritus at Department of Information Technology; Division of Scientific Computing
- E-mail:
- Per.Lotstedt@it.uu.se
- Visiting address:
- Hus 10, Lägerhyddsvägen 1
- Postal address:
- Box 337
751 05 UPPSALA
More information is available to staff who log in.
Short presentation
This text is not available in English, therefore the Swedish version is shown.
http://user.it.uu.se/~perl/
Publications
Selection of publications
- Accurate and stable time stepping in ice sheet modeling (2017)
- Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology (2016)
- Mesoscopic modeling of stochastic reaction–diffusion kinetics in the subdiffusive regime (2016)
- Stochastic Simulation Service (2016)
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models (2016)
- Analysis and design of jump coefficients in discrete stochastic diffusion models (2016)
- Stochastic diffusion processes on Cartesian meshes (2016)
- Fokker–Planck equation (2015)
- Simulation of stochastic diffusion via first exit times (2015)
- Numerical option pricing without oscillations using flux limiters (2015)
- Nonlinear identification of biological clock dynamics (2015)
- Stochastic reaction–diffusion processes with embedded lower-dimensional structures (2014)
- Accuracy of the zeroth- and second-order shallow-ice approximation (2013)
- A numerical study of scaling relations for non-Newtonian thin-film flows with applications in ice sheet modelling (2013)
- Efficient sampling in event-driven algorithms for reaction-diffusion processes (2013)
- Transcription factor binding kinetics constrain noise suppression via negative feedback (2013)
- Coupled mesoscopic and microscopic simulation of stochastic reaction-diffusion processes in mixed dimensions (2012)
- Efficient sampling in event-driven algorithms for reaction-diffusion processes (2011)
- Numerical option pricing in the presence of bubbles (2011)
- Delay-induced anomalous fluctuations in intracellular regulation (2011)
- Flexible single molecule simulation of reaction-diffusion processes (2011)
- An adaptive algorithm for simulation of stochastic reaction-diffusion processes (2010)
- Costs and constraints from time-delayed feedback in small gene regulatory motifs (2010)
- Incorporating active transport of cellular cargo in stochastic mesoscopic models of living cells (2010)
- Numerical Mathematics and Advanced Applications (2010)
- Multiscale Modeling and Simulation in Science (2009)
- Adaptive solution of the master equation in low dimensions (2009)
Recent publications
- Numerical integration of mechanical forces in center-based models for biological cell populations (2025)
- Adaptive time integration of mechanical forces in center-based models for biological cell populations (2022)
- Sensitivity of ice sheet surface velocity and elevation to variations in basal friction and topography in the full Stokes and shallow-shelf approximation frameworks using adjoint equations (2021)
- Derivation of continuum models from discrete models of mechanical forces in cell populations (2021)
- Parameter sensitivity analysis of dynamic ice sheet models — numerical computations (2020)
All publications
Articles
- Numerical integration of mechanical forces in center-based models for biological cell populations (2025)
- Adaptive time integration of mechanical forces in center-based models for biological cell populations (2022)
- Sensitivity of ice sheet surface velocity and elevation to variations in basal friction and topography in the full Stokes and shallow-shelf approximation frameworks using adjoint equations (2021)
- Derivation of continuum models from discrete models of mechanical forces in cell populations (2021)
- Parameter sensitivity analysis of dynamic ice sheet models — numerical computations (2020)
- A full Stokes subgrid scheme in two dimensions for simulation of grounding line migration in ice sheets using Elmer/ICE (v8.3) (2020)
- Parameter sensitivity analysis of dynamic ice sheet models (2019)
- The linear noise approximation for spatially dependent biochemical networks (2019)
- Thermal conductivity of firn at Lomonosovfonna, Svalbard, derived from subsurface temperature measurements (2019)
- Efficient Green's function reaction dynamics (GFRD) simulations for diffusion-limited, reversible reactions (2018)
- Mesoscopic modeling of random walk and reactions in crowded media (2018)
- Dynamically coupling full Stokes and shallow shelf approximation for marine ice sheet flow using Elmer/Ice (v8.3) (2018)
- Accurate and stable time stepping in ice sheet modeling (2017)
- Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations (2017)
- Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology (2016)
- Mesoscopic modeling of stochastic reaction–diffusion kinetics in the subdiffusive regime (2016)
- Stochastic Simulation Service (2016)
- Shallow ice approximation, second order shallow ice approximation, and full Stokes models (2016)
- Analysis and design of jump coefficients in discrete stochastic diffusion models (2016)
- Stochastic diffusion processes on Cartesian meshes (2016)
- Simulation of stochastic diffusion via first exit times (2015)
- Numerical option pricing without oscillations using flux limiters (2015)
- Stochastic reaction–diffusion processes with embedded lower-dimensional structures (2014)
- Accuracy of the zeroth- and second-order shallow-ice approximation (2013)
- A numerical study of scaling relations for non-Newtonian thin-film flows with applications in ice sheet modelling (2013)
- Accuracy of the zeroth and second order shallow ice approximation (2013)
- Efficient sampling in event-driven algorithms for reaction-diffusion processes (2013)
- Transcription factor binding kinetics constrain noise suppression via negative feedback (2013)
- Coupled mesoscopic and microscopic simulation of stochastic reaction-diffusion processes in mixed dimensions (2012)
- Numerical option pricing in the presence of bubbles (2011)
- Delay-induced anomalous fluctuations in intracellular regulation (2011)
- Flexible single molecule simulation of reaction-diffusion processes (2011)
- An adaptive algorithm for simulation of stochastic reaction-diffusion processes (2010)
- Costs and constraints from time-delayed feedback in small gene regulatory motifs (2010)
- Incorporating active transport of cellular cargo in stochastic mesoscopic models of living cells (2010)
- Boundary values and finite difference methods for the single factor term structure equation (2009)
- Simulation of stochastic reaction-diffusion processes on unstructured meshes (2009)
- Adaptive solution of the master equation in low dimensions (2009)
- Fokker-Planck approximation of the master equation in molecular biology (2009)
- A hierarchy of approximations of the master equation scaled by a size parameter (2008)
- Sparse grids and hybrid methods for the chemical master equation (2008)
- Numerical method for coupling the macro and meso scales in stochastic chemical kinetics (2007)
- Hybrid method for the chemical master equation (2007)
- Space-time adaptive finite difference method for European multi-asset options (2007)
- Space-Time Adaptive Solution of First Order PDES (2006)
- Conservative solution of the Fokker-Planck equation for stochastic chemical reactions (2006)
- Time step restrictions using semi-explicit methods for the incompressible Navier-Stokes equations (2006)
- Dimensional reduction of the Fokker-Planck equation for stochastic chemical reactions (2006)
- High order accurate solution of flow past a circular cylinder (2006)
- Splitting methods for high order solution of the incompressible Navier-Stokes equations in 3D (2005)
- High order accurate solution of the incompressible Navier-Stokes equations (2005)
- Accurate and stable grid interfaces for finite volume methods (2004)
- Adaptive iteration to steady state of flow problems (2004)
- A minimal residual interpolation method for linear equations with multiple right-hand sides (2004)
- Preconditioned implicit solution of linear hyperbolic equations with adaptivity (2004)
- An Unconditionally Stable Subcell Model for Arbitrarily Oriented Thin Wires in the FETD Method (2003)
- Iterative solution of a hybrid method for Maxwell's equations in the frequency domain (2003)
- Anisotropic grid adaptation for Navier-Stokes' equations (2003)
- Adaptive error control for steady state solutions of inviscid flow (2002)
- On numerical errors in the boundary conditions of the Euler equations (2002)
- Implicit solution of hyperbolic equations with space-time adaptivity (2002)
- Efficiency in the adaptive solution of inviscid compressible flow problems (2001)
- Error control in the solution of flow problems (2001)
- Time step selection for shock problems (2001)
- Convergence analysis of iterative methods by pseudodifference operators (2000)
- Blockwise adaptive grids with multigrid acceleration for compressible flow (1999)
- Two-grid solution of shock problems (1997)
- Stability and non-normality of the k–ε equations (1997)
- Parallel single grid and multigrid solution of industrial compressible flow problems (1997)
- Improving the accuracy of BDF methods for index 3 differential-algebraic equations (1995)
- Improved convergence to the steady state of the Euler equations by enhanced wave propagation (1994)
- The GMRES method improved by securing fast wave propagation (1993)
- Fourier analysis of multigrid methods for general systems of PDEs (1993)
- Grid independent convergence of the multigrid method for first-order equations (1992)
Books
- Numerical Mathematics and Advanced Applications (2010)
- Multiscale Modeling and Simulation in Science (2009)
- Multiscale Methods in Science and Engineering (2005)
Chapters
- Multiscale simulation of stochastic reaction–diffusion networks (2017)
- Fokker–Planck equation (2015)
Conferences
- Nonlinear identification of biological clock dynamics (2015)
- Adaptive stochastic hybrid simulation of biochemical reaction-diffusion models (2009)
- Implicit-explicit Runge-Kutta methods for stiff combustion problems (2009)
- Implicit-explicit Runge-Kutta method for combustion simulation (2006)
- Multipole solution of electromagnetic scattering problems with many, parameter dependent incident waves (2005)
- Problems of high dimension in molecular biology (2003)
- A fourth order difference method for the incompressible Navier-Stokes equations (2003)
- High order difference method on staggered, curvilinear grids for the incompressible Navier-Stokes equations (2003)
- Parallel solution of hyperbolic PDEs with space-time adaptivity (1999)
- Parallel solution of industrial compressible flow problems with static load balancing (1997)
- A modified GMRES method for steady state solutions of hyperbolic systems (1993)
- Convergence acceleration for first order systems (1993)
- Analysis of multigrid methods for general systems of PDE (1991)
- Analysis of the multigrid method applied to first order systems (1989)
Reports
- Simulation of stochastic diffusion via first exit times (2014)
- Stochastic diffusion processes on Cartesian meshes (2013)
- A numerical study of the validity of Shallow Ice Approximations (2012)
- Stochastic reaction–diffusion processes with embedded lower dimensional structures (2012)
- Efficient sampling in event-driven algorithms for reaction-diffusion processes (2011)
- Coupled mesoscopic and microscopic simulation of stochastic reaction-diffusion processes in mixed dimensions (2011)
- Incorporating active transport of cellular cargo in stochastic mesoscopic models of living cells (2010)
- Flexible single molecule simulation of reaction-diffusion processes (2010)
- An adaptive algorithm for simulation of stochastic reaction-diffusion processes (2009)
- Simulation of stochastic reaction-diffusion processes on unstructured meshes (2008)
- Adaptive solution of the master equation in low dimensions (2007)
- A hierarchy of approximations of the master equation scaled by a size parameter (2007)
- Numerical method for coupling the macro and meso scales in stochastic chemical kinetics (2006)
- Hybrid method for the chemical master equation (2006)
- Dimensional reduction of the Fokker-Planck equation for stochastic chemical reactions (2005)
- Fokker-Planck approximation of the master equation in molecular biology (2005)
- Adaptive, Conservative Solution of the Fokker-Planck Equation in Molecular Biology (2004)
- Time step restrictions using semi-implicit methods for the incompressible Navier-Stokes equations (2004)
- Space-Time Adaptive Finite Difference Method for European Multi-Asset Options (2004)
- High order accurate solution of the incompressible Navier-Stokes equations (2003)
- Space-Time Adaptive Solution of First Order PDES (2003)
- Preconditioned implicit solution of linear hyperbolic equations with adaptivity (2003)
- An Unconditionally Stable Subcell Model for Arbitrarily Oriented Thin Wires in the FETD Method (2002)
- Accurate and stable grid interfaces for finite volume methods (2002)
- Anisotropic grid adaptation for Navier-Stokes' equations (2002)
- A minimum residual interpolation method for linear equations with multiple right hand sides (2002)
- Adaptive iteration to steady state of flow problems (2001)
- Adaptive error control for steady state solutions of inviscid flow (2000)
- On numerical errors in the boundary conditions of the Euler equations (2000)
- Time step selection for shock problems (2000)
- Implicit solution of hyperbolic equations with space-time adaptivity (2000)
