zbMath1164.65496MaRDI QIDQ3538693
Weiqing Ren, Eric Vanden-Eijnden, Xiantao Li, Björn Engquist, E. Weinan
Publication date: 24 November 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Machine learning for prediction with missing dynamics,
ISALT: inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems,
Mixed GMsFEM for the simulation of waves in highly heterogeneous media,
A general strategy for designing seamless multiscale methods,
Projective and telescopic projective integration for non-linear kinetic mixtures,
Multiscale methods for composites: A review,
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D,
A Nitsche hybrid multiscale method with non-matching grids,
A probabilistic graphical model approach to stochastic multiscale partial differential equations,
A novel approach to computational homogenization and its application to fully coupled two-scale thermomechanics,
Mixed generalized multiscale finite element method for flow problem in thin domains,
Randomized spectral and Fourier-wavelet methods for multidimensional Gaussian random vector fields,
Comparison of multiscale models for eddy current computation in granular magnetic materials,
New perspectives on superparameterization for geophysical turbulence,
A multiscale algorithm for simulating spatially-extended Langmuir circulation dynamics,
Heat flux expressions that satisfy the conservation laws in atomistic system involving multibody potentials,
Optimal spatiotemporal reduced order modeling. I: Proposed framework,
Extended multiscale finite element method for mechanical analysis of heterogeneous materials,
A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites,
Macroscopically consistent non-local modeling of heterogeneous media,
A spectral multiscale method for wave propagation analysis: atomistic-continuum coupled simulation,
Multiscale thermoelastic modelling of composite strands using the ``fundamental solutions method, Multiresolution molecular mechanics: a unified and consistent framework for general finite element shape functions, Telescopic projective integration for linear kinetic equations with multiple relaxation times, A concurrent global-local numerical method for multiscale PDEs, Analysis of a micro-macro acceleration method with minimum relative entropy moment matching, Higher-order averaging, formal series and numerical integration. I: B-series, The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters, Multiscale-spectral GFEM and optimal oversampling, Bayesian identification and model comparison for random property fields derived from material microstructure, Modeling and simulation of surfactant-polymer flooding using a new hybrid method, Analytical and variational numerical methods for unstable miscible displacement flows in porous media, Numerical strategies for filtering partially observed stiff stochastic differential equations, Variational integrators for electric circuits, Temporal multiscale approach for nanocarrier motion with simultaneous adhesion and hydrodynamic interactions in targeted drug delivery, Multiscale stochastic simulations of chemical reactions with regulated scale separation, A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients, Manifold learning for accelerating coarse-grained optimization, Multiscale simulation of water flow past a \(C_{540}\) fullerene, A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique, Simply improved averaging for coupled oscillators and weakly nonlinear waves, A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems, Hybrid three-scale model for evolving pore-scale geometries, Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation, A semidiscrete Galerkin scheme for a coupled two-scale elliptic-parabolic system: well-posedness and convergence approximation rates, On the heterogeneous multiscale method with various macroscopic solvers, Spatial filters for bridging molecular dynamics with finite elements at finite temperatures, A goal-oriented error estimator for the analysis of simplified designs, Adaptive numerical homogenization for upscaling single phase flow and transport, The image-based multiscale multigrid solver, preconditioner, and reduced order model, A short and versatile finite element multiscale code for homogenization problems, Methodological and computational aspects of parallel tempering methods in the infinite swapping limit, Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations, Non-linear advection-diffusion equations approximate swarming but not schooling populations, The penetration function and its application to microscale problems, A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media, A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions, Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts, Homogenisation with application to layered materials, Numerical solution of penalty formulations for constrained mechanical systems using heterogeneous multiscale methods, Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime, Multiscale stochastic finite element modeling of random elastic heterogeneous materials, Numerical integration of ordinary differential equations with rapidly oscillatory factors, Atom collocation method, A multiscale coupling method for the modeling of dynamics of solids with application to brittle cracks, A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells, Evaluation of the coupling scheme of FVM and LBM for fluid flows around complex geometries, A stochastic mixed finite element heterogeneous multiscale method for flow in porous media, Differential geometry based multiscale models, Multi-scale computational homogenization: trends and challenges, Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast, Numerical stroboscopic averaging for ODEs and DAEs, An adaptive multiscale hybrid-mixed method for the Oseen equations, Fluctuations in the heterogeneous multiscale methods for fast-slow systems, Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior, Multiscale simulations for multi-continuum Richards equations, Asynchronous coupling of hybrid models for efficient simulation of multiscale systems, Semiparametric modeling: correcting low-dimensional model error in parametric models, A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation, A HLL-type Riemann solver for two-phase flow with surface forces and phase transitions, Multi-revolution composition methods for highly oscillatory differential equations, A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms, Generalized multiscale finite element method for multicontinua unsaturated flow problems in fractured porous media, On Moore-Penrose pseudoinverse computation for stiffness matrices resulting from higher order approximation, Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models, High-order stroboscopic averaging methods for highly oscillatory delay problems, Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling, Towards a taxonomy for multiscale methods in computational mechanics: Building blocks of existing methods, The Coarse Mesh Condensation Multiscale Method for parallel computation of heterogeneous linear structures without scale separation, Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties, Derivation of continuum models from discrete models of mechanical forces in cell populations, Resampling with neural networks for stochastic parameterization in multiscale systems, On a hybrid continuum-kinetic model for complex fluids, Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework, Error analysis for quadtree-type mesh coarsening algorithms adapted to pixelized heterogeneous microstructures, On nested Picard iterative integrators for highly oscillatory second-order differential equations, Temporal scale-bridging of chemistry in a multiscale model: application to reactivity of an energetic material, Heterogeneous multiscale methods for the Landau-Lifshitz equation, WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment, New time differencing methods for spectral methods, Molecular dynamics simulations in hybrid particle-continuum schemes: pitfalls and caveats, Multiscale particle-in-cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field, Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media, Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials, Spatial and temporal averaging in the homogenisation of the elastodynamic response of periodic laminates, Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study, Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations, Regularized coupling multiscale method for thermomechanical coupled problems, Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow, Roughness effect on flow and thermal boundaries in microchannel/nanochannel flow using molecular dynamics-continuum hybrid simulation, Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity, Oscillatory Systems with Three Separated Time Scales: Analysis and Computation, A Stroboscopic Numerical Method for Highly Oscillatory Problems, Tools for Multiscale Simulation of Liquids Using Open Molecular Dynamics, Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time, Numerical homogenization: survey, new results, and perspectives, A multiscale method for compressible liquid-vapor flow with surface tension, A multiscale molecular dynamics method for isothermal dynamic problems using the seamless heterogeneous multiscale method, A Multiscale Strategy for Bayesian Inference Using Transport Maps, Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation, A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration, A continuum‐to‐atomistic bridging domain method for composite lattices, Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media, A Note on Implementations of the Boosting Algorithm and Heterogeneous Multiscale Methods, An isogeometric analysis for elliptic homogenization problems, Molecular systems with open boundaries: theory and simulation, Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis, Finite difference approach for multiscale computations of atomic chain at finite temperature, An improved multiscale FEM for the free vibrations of heterogeneous solids, Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data, Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties, Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation, A fuzzy-stochastic multiscale model for fiber composites, a one-dimensional study, A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces, Fast Randomized Iteration: Diffusion Monte Carlo through the Lens of Numerical Linear Algebra, Multiscale methods for model order reduction of non-linear multiphase flow problems, Multiscale model reduction for incompressible flows, A domain decomposition method for concurrent coupling of multiscale models, A uniform multiscale method for 2D static and dynamic analyses of heterogeneous materials, Determination of RVE size for random composites with local volume fraction variation, A concurrent atomistic and continuum coupling method with applications to thermo-mechanical problems, Fast Fourier homogenization for elastic wave propagation in complex media, Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution, Error estimates for discrete generalized FEMs with locally optimal spectral approximations, A multiscale method for inhomogeneous elastic problems with high contrast coefficients, Angles between subspaces and nearly optimal approximation in GFEM, Adaptive learning of effective dynamics for online modeling of complex systems, A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations, Generalized multiscale finite element method for scattering problem in heterogeneous media, Efficiency gains of a multi-scale integration method applied to a scale-separated model for rapidly rotating dynamos, Hierarchical micro-macro acceleration for moment models of kinetic equations, Generalized Lagrangian heterogeneous multiscale modelling of complex fluids, NySALT: Nyström-type inference-based schemes adaptive to large time-stepping, Concurrent multiscale simulations of nonlinear random materials using probabilistic learning, Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC), Ergodic SDEs on submanifolds and related numerical sampling schemes, Heterogeneous multiscale method for high energy-density matter: connecting kinetic theory and molecular dynamics, A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation, Quantum Mechanics for Closure of Dynamical Systems, A concurrent multiscale method based on the alternating Schwarz scheme for coupling atomic and continuum scales with first-order compatibility, The Heterogeneous Multiscale Methods with Application to Combustion, Coarse-Graining of Overdamped Langevin Dynamics via the Mori--Zwanzig Formalism, REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM, Multi-scale Modeling with Cellular Automata: The Complex Automata Approach, Analysis of Multiscale Integrators for Multiple Attractors and Irreversible Langevin Samplers, Multiscale modeling of the dynamics of solids at finite temperature, Scale effect on flow and thermal boundaries in micro-/nano-channel flow using molecular dynamics-continuum hybrid simulation method, Spectral Methods for Multiscale Stochastic Differential Equations, Convergence of a Force-Based Hybrid Method in Three Dimensions, Aggregation of Markov flows I: theory, Multiscale Finite Element Modeling of Nonlinear Magnetoquasistatic Problems using Magnetic Induction Conforming Formulations, Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow, A Reduced Basis Method for the Homogenized Reynolds Equation Applied to Textured Surfaces, Physics-Constrained, Data-Driven Discovery of Coarse-Grained Dynamics, A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media, A Consistency Study of Coarse-Grained Dynamical ChainsthroughaNonlinearWaveEquationofMixed Type, A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales, Filters for Improvement of Multiscale Data from Atomistic Simulations, ATLAS: A Geometric Approach to Learning High-Dimensional Stochastic Systems Near Manifolds, A unified interpretation of stress in molecular systems, Multiscale Computations for Highly Oscillatory Problems, A Partition of Unity-Based Multiscale Method, Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation, Spatial adaptive sampling in multiscale simulation, Langevin equation in systems with also negative temperatures, Edgeworth expansions for slow–fast systems with finite time-scale separation, The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE\(^2\) method, Model adaptivity for goal-oriented inference using adjoints, Constrained energy minimization based upscaling for coupled flow and mechanics, Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations, Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems, Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum method, Convergence and error analysis of FE-HMM/FE\(^2\) for energetically consistent micro-coupling conditions in linear elastic solids, Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media, Numerical Integrators for Motion under a Strong Constraining Force, Mass Conservative Domain Decomposition Preconditioners for Multiscale Finite Volume Method, On the Compressive Spectral Method, A Variational Approach to Multirate Integration for Constrained Systems, A decreasing step method for strongly oscillating stochastic models, Homogenization of the Poisson--Nernst--Planck equations for Ion Transport in Charged Porous Media, Exploiting self-organized criticality in strongly stratified turbulence, A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension, On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations, The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results, A multiscale strategy for thermo-elastic plastic stress analysis of heterogeneous multiphase materials, Semi-analytical time differencing methods for stiff problems, A combined finite element method for parabolic equations posted in domains with rough boundaries