Sebastian Reich
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Mathematics
Sebastian Reich's Degrees
- Masters Applied Mathematics University of Oxford
- Bachelors Mathematics University of Oxford
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(Suggest an Edit or Addition)Sebastian Reich's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity (2001) (437)
- Probabilistic Forecasting and Bayesian Data Assimilation (2015) (295)
- Backward Error Analysis for Numerical Integrators (1999) (290)
- Multi-Symplectic Runge—Kutta Collocation Methods for Hamiltonian Wave Equations (2000) (281)
- Computational Molecular Dynamics: Challenges, Methods, Ideas (1999) (241)
- Simulating Hamiltonian Dynamics (2005) (222)
- Numerical methods for Hamiltonian PDEs (2006) (213)
- Stabilization of Constrained Mechanical Systems with DAEs and Invariant Manifolds (1995) (182)
- Stabilization of DAEs and invariant manifolds (1994) (158)
- A Nonparametric Ensemble Transform Method for Bayesian Inference (2012) (154)
- Simulating Hamiltonian Dynamics: Hamiltonian PDEs (2005) (129)
- Particle filters for high‐dimensional geoscience applications: A review (2018) (125)
- Backward error analysis for multi-symplectic integration methods (2003) (120)
- Integration Methods for Molecular Dynamics (1996) (110)
- A dynamical systems framework for intermittent data assimilation (2011) (108)
- Multi-symplectic spectral discretizations for the Zakharov–Kuznetsov and shallow water equations (2001) (101)
- Symplectic integration of constrained Hamiltonian systems (1994) (86)
- Momentum conserving symplectic integrators (1994) (84)
- Nonlinear Data Assimilation (2015) (83)
- An ensemble Kalman-Bucy filter for continuous data assimilation (2012) (76)
- Symplectic integration of constrained Hamiltonian systems by composition methods (1996) (75)
- Sequential Data Assimilation of the Stochastic SEIR Epidemic Model for Regional COVID-19 Dynamics (2020) (74)
- Multi-symplectic integration methods for Hamiltonian PDEs (2003) (72)
- A localization technique for ensemble Kalman filters (2009) (70)
- A mollified ensemble Kalman filter (2010) (68)
- On a geometrical interpretation of differential-algebraic equations (1990) (66)
- Computing Lyapunov exponents on a Stiefel manifold (2001) (63)
- Smoothed dynamics of highly oscillatory Hamiltonian systems (1995) (62)
- On an existence and uniqueness theory for nonlinear differential-algebraic equations (1991) (61)
- LBB stability of a mixed Galerkin finite element pair for fluid flow simulations (2009) (61)
- Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law (2006) (60)
- Long-Time Stability and Accuracy of the Ensemble Kalman-Bucy Filter for Fully Observed Processes and Small Measurement Noise (2016) (60)
- Simulating Hamiltonian Dynamics: Acknowledgements (2005) (60)
- A comparison of generalized hybrid Monte Carlo methods with and without momentum flip (2009) (58)
- GSHMC: An efficient method for molecular simulation (2008) (56)
- Stabilization and projection methods for multibody dynamics (1990) (54)
- A Hamiltonian Particle-Mesh Method for the Rotating Shallow Water Equations (2003) (51)
- Data assimilation: The Schrödinger perspective (2018) (47)
- On Some Difficulties in Integrating Highly Oscillatory Hamiltonian Systems (1999) (46)
- A Gaussian‐mixture ensemble transform filter (2011) (46)
- Affine invariant interacting Langevin dynamics for Bayesian inference (2019) (45)
- Explicit variable step-size and time-reversible integration (2001) (44)
- On the local qualitative behavior of differential-algebraic equations (1995) (44)
- Conservation Properties of Smoothed Particle Hydrodynamics Applied to the Shallow Water Equation (2001) (43)
- A Hybrid Ensemble Transform Particle Filter for Nonlinear and Spatially Extended Dynamical Systems (2015) (42)
- The Midpoint Scheme and Variants for Hamiltonian Systems: Advantages and Pitfalls (1999) (40)
- A reversible averaging integrator for multiple time-scale dynamics (2001) (38)
- Kalman Filter and its Modern Extensions for the Continuous-time Nonlinear Filtering Problem (2017) (36)
- The Hamiltonian particle‐mesh method for the spherical shallow water equations (2004) (36)
- Ensemble filter techniques for intermittent data assimilation (2013) (35)
- Interacting Particle Solutions of Fokker–Planck Equations Through Gradient–Log–Density Estimation (2020) (35)
- The remapped particle‐mesh semi‐Lagrangian advection scheme (2006) (34)
- Likelihood-Based Parameter Estimation and Comparison of Dynamical Cognitive Models (2016) (34)
- Second-order Accurate Ensemble Transform Particle Filters (2016) (34)
- Multilevel Ensemble Transform Particle Filtering (2015) (33)
- Vorticity and symplecticity in Lagrangian fluid dynamics (2005) (33)
- Elastic molecular dynamics with self-consistent flexible constraints (2000) (31)
- Fokker-Planck particle systems for Bayesian inference: Computational approaches (2019) (31)
- The Targeted Shadowing Hybrid Monte Carlo (TSHMC) Method (2006) (31)
- Symplectic Integrators for Systems of Rigid Bodies (1996) (30)
- Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation (2020) (29)
- Ensemble transform Kalman–Bucy filters (2011) (29)
- Adiabatic Invariance and Applications: From Molecular Dynamics to Numerical Weather Prediction (2004) (27)
- Smoothed Langevin dynamics of highly oscillatory systems (2000) (26)
- Can GNSS Reflectometry Detect Precipitation Over Oceans? (2018) (25)
- Improved sampling for simulations of interfacial membrane proteins: application of generalized shadow hybrid Monte Carlo to a peptide toxin/bilayer system. (2008) (25)
- Ensemble propagation and continuous matrix factorization algorithms (2009) (24)
- A Time-Reversible Variable-Stepsize Integrator for Constrained Dynamics (1999) (24)
- Semigeostrophic Particle Motion and Exponentially Accurate Normal forms (2005) (23)
- Finite Volume Methods for Multi-Symplectic PDES (2000) (23)
- A Guided Sequential Monte Carlo Method for the Assimilation of Data into Stochastic Dynamical Systems (2013) (23)
- Note on Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler by Garbuno-Inigo, Hoffmann, Li and Stuart (2019) (22)
- On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems (1997) (22)
- Multiple Time Scales in Classical and Quantum-Classical Molecular Dynamics (1999) (22)
- A METROPOLIS ADJUSTED NOSÉ-HOOVER THERMOSTAT (2009) (20)
- Spectral convergence of diffusion maps: improved error bounds and an alternative normalisation (2020) (20)
- Dynamical Systems, Numerical Integration, and Exponentially Small Estimates (1998) (19)
- Assimilating data into scientific models: An optimal coupling perspective (2015) (19)
- Assimilation of pseudo-tree-ring-width observations into an atmospheric general circulation model (2016) (17)
- Computational Molecular Dynamics: Challenges, Methods, Ideas: Proceedings of the 2nd International Symposium on Algorithms for Macromolecular Modellin (1999) (17)
- Preservation of adiabitic invariants under symplectic discretization (1999) (17)
- Discrete gradients for computational Bayesian inference (2019) (17)
- Enhancing energy conserving methods (1996) (17)
- Phase Space Volume Conservation under Space and Time Discretization Schemes for the Shallow-Water Equations (2010) (16)
- Linearly implicit time stepping methods for numerical weather prediction (2006) (16)
- Learning effective stochastic differential equations from microscopic simulations: combining stochastic numerics and deep learning (2021) (15)
- Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation (2004) (15)
- Analysis of a regularized, time‐staggered discretization method and its link to the semi‐implicit method (2005) (15)
- New Hybrid Monte Carlo Methods for Efficient Sampling : from Physics to Biology and Statistics (Selected Papers of the Joint International Conference of Supercomputing in Nuclear Applications and Monte Carlo : SNA + MC 2010) (2011) (15)
- Multiple-time-stepping generalized hybrid Monte Carlo methods (2015) (14)
- A time‐staggered semi‐Lagrangian discretization of the rotating shallow‐water equations (2006) (14)
- A GNSS-R Geophysical Model Function: Machine Learning for Wind Speed Retrievals (2020) (14)
- TDS-1 GNSS Reflectometry: Development and Validation of Forward Scattering Winds (2018) (14)
- Efficient derivative-free Bayesian inference for large-scale inverse problems (2022) (13)
- An extended dissipative particle dynamics model (2003) (13)
- McKean-Vlasov SDEs in nonlinear filtering (2020) (13)
- Controlling Overestimation of Error Covariance in Ensemble Kalman Filters with Sparse Observations: A Variance-Limiting Kalman Filter (2011) (13)
- An explicit and conservative remapping strategy for semi‐Lagrangian advection (2007) (13)
- Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations (2021) (13)
- Ensemble filter techniques for intermittent data assimilation - a survey (2012) (13)
- Symplectic Multiple-Time-Stepping Integrators for Quantum-Classical Molecular Dynamics (1999) (12)
- State and Parameter Estimation from Observed Signal Increments (2019) (11)
- Towards the assimilation of tree-ring-width records using ensemble Kalman filtering techniques (2016) (11)
- Evaluating Impact of Rain Attenuation on Space-borne GNSS Reflectometry Wind Speeds (2019) (10)
- Ensemble Kalman Methods: A Mean Field Perspective (2022) (10)
- A hybrid ensemble transform filter for nonlinear and spatially extended dynamical systems (2015) (10)
- Hamiltonian particle‐mesh simulations for a non‐hydrostatic vertical slice model (2009) (10)
- On spurious reflections, nonuniform grids and finite difference discretizations of wave equations (2004) (10)
- A particle-mesh method for the shallow water equations near geostrophic balance (2002) (10)
- Particle filters for applications in geosciences (2018) (9)
- Bayesian parameter estimation for the SWIFT model of eye-movement control during reading (2019) (9)
- Symplectic Time‐Stepping for Particle Methods (2004) (9)
- Meso-GSHMC: A stochastic algorithm for meso-scale constant temperature simulations (2011) (9)
- A McKean optimal transportation perspective on Feynman-Kac formulae with application to data assimilation (2013) (9)
- An improved regularization for time‐staggered discretization and its link to the semi‐implicit method (2006) (9)
- A mathematical model of local and global attention in natural scene viewing (2020) (8)
- A regularization approach for a vertical‐slice model and semi‐Lagrangian Störmer–Verlet time stepping (2007) (8)
- Modified potential energy functions for constrained molecular dynamics (1998) (8)
- Semi‐implicit methods, nonlinear balance, and regularized equations (2007) (7)
- Erratum to "A comparison of generalized hybrid Monte Carlo methods with and without momentum flip" [J. Comput. Phys 228 (2009) 2256-2265] (2009) (7)
- Affine-Invariant Ensemble Transform Methods for Logistic Regression (2021) (7)
- Numerical Integration of the Generatized Euler Equations (1993) (6)
- A Semi-Explicit, Variable-Stepsize, Time-Reversible Integrator For Constrained Dynamics (1997) (6)
- A Free Energy Approach to the Torsion Dynamics of Macromolecules (1995) (6)
- Corrected potential energy functions for constrained molecular dynamics (2011) (6)
- Using the Kalman-Bucy filter in an ensemble framework (2011) (6)
- Energy-conserving semi-discretizations and spurious numerical reflections (2006) (6)
- Impact of the Mesoscale Range on Error Growth and the Limits to Atmospheric Predictability (2020) (5)
- Infinite-Dimensional Diffusion Models for Function Spaces (2023) (5)
- Ensemble Transform Algorithms for Nonlinear Smoothing Problems (2019) (5)
- Convergence Tests for Transdimensional Markov Chains in Geoscience Imaging (2019) (5)
- Large-scale turbulence modelling via α-regularisation for atmospheric simulations (2015) (5)
- Conservative Space and Time Regularizations for the ICON Model (2008) (4)
- Data assimilation in dynamical cognitive science (2021) (4)
- LBB Stability of a Mixed Discontinuous/Continuous Galerkin Finite Element Pair (2007) (4)
- On the use of slow manifolds in molecular and geophysical fluid dynamics (2011) (4)
- A Test Set for Molecular Dynamics Algorithms (2002) (4)
- On the theory of mass conserving transformations for Lagrangian methods in 3D atmosphere-chemistry models (2014) (4)
- Balanced data assimilation for highly oscillatory mechanical systems (2017) (4)
- Evaluation of three spatial discretization schemes with the Galewsky et al. test (2010) (4)
- Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences (2017) (4)
- Randomized maximum likelihood based posterior sampling (2021) (4)
- GP-ETAS: semiparametric Bayesian inference for the spatio-temporal epidemic type aftershock sequence model (2020) (4)
- The modified equations (2005) (4)
- Geometric integration of a wave-vortex model (2004) (3)
- Mathematical and Algorithmic Aspects of Atmosphere-Ocean Data Assimilation (2012) (3)
- A Test Set for Molecular Dynamics (2002) (3)
- Interacting particle filters for simultaneous state and parameter estimation (2017) (3)
- Posterior contraction rates for non-parametric state and drift estimation (2020) (3)
- Analysis of a regularized, time‐staggered discretization applied to a vertical slice model (2006) (3)
- 2nd International Symposium Algorithms for Macromolecular Modelling (1997) (2)
- Forecast verification: Relating deterministic and probabilistic metrics (2021) (2)
- Frequentist perspective on robust parameter estimation using the ensemble Kalman filter (2022) (2)
- Learning effective stochastic differential equations from microscopic simulations: Linking stochastic numerics to deep learning. (2021) (2)
- On the consistency of ensemble transform filter formulations (2014) (2)
- Differential-algebraic equations and applications in circuit theory (1992) (2)
- Hydrostatic Hamiltonian particle‐mesh (HPM) methods for atmospheric modelling (2012) (2)
- Model reference adaptive control of abstract nonlinear distributed parameter systems (1994) (2)
- Atmospheric Predictability: Revisiting the Inherent Finite-Time Barrier (2019) (2)
- Time Stepping Algorithms for Classical Molecular Dynamics (2)
- Reservoir-scale transdimensional fracture network inversion (2019) (2)
- Localization techniques for ensemble transform Kalman filters (2009) (1)
- Ensemble Kalman and H∞ Filters (2010) (1)
- Constrained Mechanical Systems (2020) (1)
- A variance constraining Kalman filter (2009) (1)
- Number feature distortion modulates cue-based retrieval in reading (2023) (1)
- AM ETROPOLIS ADJUSTED NOS´ E-HOOVER THERMOSTAT (2009) (1)
- A 2D Unified (Non-) Hydrostatic Model of the Atmosphere with a Discontinuous Galerkin Method (2011) (1)
- Simulating Hamiltonian Dynamics: Hamiltonian mechanics (2005) (1)
- Technical Due Diligence (2018) (1)
- Data assimilation: mathematics for merging models and data (2018) (1)
- A multigrid solver for modeling complex interseismic stress fields (2011) (1)
- 1 A Hamiltonian Particle-Mesh Method forthe Rotating Shallow Water (2002) (1)
- The Repulsive-particle Method and the Symplectic Integration of the Shallow-water Equations (1999) (1)
- Simulating Hamiltonian Dynamics: Molecular dynamics (2005) (1)
- Data assimilation: A dynamic homotopy-based coupling approach (2022) (1)
- Bayesian Dynamical Modeling of Fixational Eye Movements (2023) (0)
- Higher-order methods (2005) (0)
- Data Assimilation – Mathematical Foundation and Applications (2023) (0)
- Konrad-zuse-zentrum F ¨ Ur Informationstechnik Berlin Preservation of Adiabatic Invariants under Symplectic Discretization Preservation of Adiabatic Invariants under Symplectic Discretization (2007) (0)
- Simulating Hamiltonian Dynamics: Rigid body dynamics (2005) (0)
- Enhanced Long-term Simulation of Hamiltonian Systems Containing a Strong Non-convex Potential (1995) (0)
- A lecture course on Bayesian inference, stochastic processes and dynamic data assimilation (2012) (0)
- Simulating Hamiltonian Dynamics: Preface (2005) (0)
- Konrad-zuse-zentrum F ¨ Ur Informationstechnik Berlin Preservation of Adiabatic Invariants under Symplectic Discretization Preservation of Adiabatic Invariants under Symplectic Discretization (2007) (0)
- Swaters, G. E. Introduction to Hamiltonian fluid dynamics and stability theory (Monographs and Surveys in Pure and Applied Mathematics, Chapman & Hall/CRC, 2000), 274 pp., 1 584 88023 6, £54.95 (2001) (0)
- Simulating Hamiltonian Dynamics: Adaptive geometric integrators (2005) (0)
- Sequential data assimilation of the SEIR model for COVID-19 (2020) (0)
- Simulating Hamiltonian Dynamics: Introduction (2005) (0)
- A 2d Discontinuous Galerkin Model for the (Non-)hydrostatic Atmosphere (2009) (0)
- Erratum to: "Multi-symplectic integration methods for Hamiltonian PDEs" [Future Gen. Comput. Sys. 19 (2003) 395-402] (2004) (0)
- Simulating Hamiltonian Dynamics: Highly oscillatory problems (2005) (0)
- On forward-backward SDE approaches to continuous-time minimum variance estimation (2023) (0)
- Data Assimilation: New Challenges in Random and Stochastic Dynamical Systems (2015) (0)
- EnKSGD: A Class Of Preconditioned Black Box Optimization And Inversion Algorithms (2023) (0)
- Algorithms for high-dimensional non-linear filtering and smoothing problems (2019) (0)
- Conservative space and time regulations for the ICON model (2009) (0)
- Smoothed Langevin Dynamics of Highly Oscillatory Systems Smoothed Langevin Dynamics of Highly Oscillatory Systems (1996) (0)
- Basic data assimilation algorithms (2015) (0)
- Bayesian inference for an exploration-exploitation model of human gaze control (2019) (0)
- Assessing the convergence of transdimensional inversion used for subsurface geometry reconstruction (2018) (0)
- A Semi-Implicit Discontinuous Galerkin Method for a Unified Atmospheric Model (2009) (0)
- A HYBRID ENSEMBLE TRANSFORM FILTER FOR HIGH DIMENSIONAL DYNAMICAL SYSTEMS (2015) (0)
- Probabilistic Forecasting and Bayesian Data Assimilation: Stochastic processes (2015) (0)
- Data assimilation for spatio-temporal processes (2015) (0)
- A 2 D Unified ( Non-) Hydrostatic Model of the Atmosphere with a Discontinuous Galerkin Method (2010) (0)
- Backward Error Analysis for Numerical Integrators Backward Error Analysis for Numerical Integrators (1996) (0)
- Ju l 2 01 9 Ensemble transform algorithms for nonlinear smoothing problems (2019) (0)
- Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance (2023) (0)
- Local conservation and multisymplectic discretizations for PDEs (2006) (0)
- On the Assimilation of Tree-Ring-Width Chronologies (2015) (0)
- Hans Kaper and Hans Engler: “Mathematics and Climate” and Ian Roulstone and John Norbury: “Invisible in the Storm: The Role of Mathematics in Understanding Weather” (2014) (0)
- Introduction to probability (2015) (0)
- Paleo Data Assimilation of Pseudo-Tree-Ring-Width Chronologies in a Climate Model (2016) (0)
- Simulating Hamiltonian Dynamics: Geometric integrators (2005) (0)
- Probabilistic Forecasting and Bayesian Data Assimilation: References (2015) (0)
- Balanced Atmospheric Data Assimilation (2017) (0)
- 2nd International Symposium Algorithms for Macromolecular Modelling Program and Collection of Abstracts (0)
- Erratum to «on an existence and uniqueness theory for nonlinear differential-algebraic equations» (1992) (0)
- Explicit symplectic integration of rod dynamics (1997) (0)
- The Application of the Discontinuous Galerkin Method to Non-hydrostatic and Hydrostatic Atmospheric Flows (2009) (0)
- Optimal transport and its use in data assimilation and sequential Bayesian inference (2017) (0)
- Lecture Notes on Molecular Dynamics (2006) (0)
- A Mathematical Model of Exploration and Exploitation in Natural Scene Viewing (2020) (0)
- GNSS Reflectometry Wind Speeds Errors: Signal Strength Corrections and Rain Effects (2018) (0)
- On a geometric characterization of differentialalgebraic equations (1990) (0)
- Simulating Hamiltonian Dynamics: References (2005) (0)
- Regional Circulation Structures in an Adaptive Model of Global Atmospheric Dynamics (2006) (0)
- Prologue: how to produce forecasts (1970) (0)
- Fracture network connectivity devolution monitoring using transdimensional data assimilation (0)
- 1 A Hamiltonian Particle-Mesh Method for the Rotating Shallow Water Equations (0)
- Atmospheric predictability: the origins of the finite-time behaviour (2019) (0)
- A semi-implicit Discontinuous Galerkin Method for non-hydrostatic and hydrostatic Atmospheric Flows (2009) (0)
- Ensemble propagation and continuous matrix factorization algorithms Kay Bergemann (2009) (0)
- Evolving Ocean Monitoring With GNSS-R: Promises in Surface Wind Speed and Prospects for Rain Detection (2019) (0)
- Nondissipative Velocity and Pressure Regularizations for the ICON Model (2009) (0)
- Bayesian parameter estimation for dynamical models of eye-movement control using adaptive Markov Chain Monte Carlo simulations (2019) (0)
- McKean approach to data assimilation (2015) (0)
- Towards the Development of a Lagrangian Dynamical Core for Climate Models (2011) (0)
- Hans Kaper and Hans Engler: “Mathematics and Climate” and Ian Roulstone and John Norbury: “Invisible in the Storm: The Role of Mathematics in Understanding Weather” (2014) (0)
- Dealing with imperfect models (2015) (0)
- Variance Constraining Kalman Filters (2009) (0)
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What Schools Are Affiliated With Sebastian Reich?
Sebastian Reich is affiliated with the following schools:
