Author: Ivo Babuska; Robert Lipton;

Title: L(2)-GLOBAL TO LOCAL PROJECTION: AN APPROACH TO MULTISCALE ANALYSIS

Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Volume: 21

Page: 2211 - 2226

Year: 2011


Author: A. Arakawa; J. -H. Jung;

Title: Multiscale modeling of the moist-convective atmosphere - A review

Journal: ATMOSPHERIC RESEARCH

Volume: 102

Page: 263 - 285

Year: 2011


Author: M. P. Calvo; Ph. Chartier; A. Murua; J. M. Sanz-Serna;

Title: Numerical stroboscopic averaging for ODEs and DAEs

Journal: APPLIED NUMERICAL MATHEMATICS

Volume: 61

Page: 1077 - 1095

Year: 2011


Author: Shugo Yasuda; Ryoichi Yamamoto;

Title: Dynamic rheology of a supercooled polymer melt in nonuniform oscillating flows between rapidly oscillating plates

Journal: PHYSICAL REVIEW E

Volume: 84

Year: 2011


Author: M. S. Wu;

Title: Strategies and challenges for the mechanical modeling of biological and bio-inspired materials

Journal: MATERIALS SCIENCE & ENGINEERING C-MATERIALS FOR BIOLOGICAL APPLICATIONS

Volume: 31

Page: 1209 - 1220

Year: 2011


Author: Xianqiao Wang;

Title: Continuum Aspect of Nanomechanics: From Micromorphic Theory to Atomistic Field Theory

Journal: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE

Volume: 8

Page: 1449 - 1466

Year: 2011


Author: Antoine Gloria;

Title: REDUCTION OF THE RESONANCE ERROR - PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS

Journal: MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Volume: 21

Page: 1601 - 1630

Year: 2011


Author: Yves Frederix; Giovanni Samaey; Dirk Roose;

Title: AN ANALYSIS OF NOISE PROPAGATION IN THE MULTISCALE SIMULATION OF COARSE FOKKER-PLANCK EQUATIONS

Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Volume: 45

Page: 541 - 561

Year: 2011


Author: Zdzislaw Jaworski; Barbara Zakrzewska;

Title: Towards multiscale modelling in product engineering

Journal: COMPUTERS & CHEMICAL ENGINEERING

Volume: 35

Page: 434 - 445

Year: 2011


Author: Molei Tao; Houman Owhadi; Jerrold E. Marsden;

Title: Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs

Journal: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS

Volume: 8

Page: 21 - 45

Year: 2011


Author: Bjorn Engquist; Henrik Holst; Olof Runborg;

Title: MULTI-SCALE METHODS FOR WAVE PROPAGATION IN HETEROGENEOUS MEDIA

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 9

Page: 33 - 56

Year: 2011


Author: John Harlim;

Title: Numerical strategies for filtering partially observed stiff stochastic differential equations

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 230

Page: 744 - 762

Year: 2011


Author: Zvi Artstein; C. William Gear; Ioannis G. Kevrekidis; Marshall Slemrod; Edriss S. Titi;

Title: ANALYSIS AND COMPUTATION OF A DISCRETE KDV-BURGERS TYPE EQUATION WITH FAST DISPERSION AND SLOW DIFFUSION

Journal: SIAM JOURNAL ON NUMERICAL ANALYSIS

Volume: 49

Page: 2124 - 2143

Year: 2011


Author: Yi Sun; Russel Caflisch; Bjorn Engquist;

Title: A MULTISCALE METHOD FOR EPITAXIAL GROWTH

Journal: MULTISCALE MODELING & SIMULATION

Volume: 9

Page: 335 - 354

Year: 2011


Author: Y. F. Xing; Y. Yang;

Title: An eigenelement method of periodical composite structures

Journal: COMPOSITE STRUCTURES

Volume: 93

Page: 502 - 512

Year: 2011


Author: G. Richardson; S. J. Chapman;

Title: DERIVATION OF THE BIDOMAIN EQUATIONS FOR A BEATING HEART WITH A GENERAL MICROSTRUCTURE

Journal: SIAM JOURNAL ON APPLIED MATHEMATICS

Volume: 71

Page: 657 - 675

Year: 2011


Author: D. Igra; M. Sun;

Title: Shock-Water Column Interaction, from Initial Impact to Fragmentation Onset

Journal: AIAA JOURNAL

Volume: 48

Page: 2763 - 2771

Year: 2010


Author: P. Chartier; A. Murua; J. M. Sanz-Serna;

Title: Higher-Order Averaging, Formal Series and Numerical Integration I: B-series

Journal: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Volume: 10

Page: 695 - 727

Year: 2010


Author: Leonid Berlyand; Houman Owhadi;

Title: Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast

Journal: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Volume: 198

Page: 677 - 721

Year: 2010


Author: Y. F. Xing; Y. Yang; X. M. Wang;

Title: A multiscaleeigenelement method and its application to periodical composite structures

Journal: COMPOSITE STRUCTURES

Volume: 92

Page: 2265 - 2275

Year: 2010


Author: Guo-Wei Wei;

Title: Differential Geometry Based Multiscale Models

Journal: BULLETIN OF MATHEMATICAL BIOLOGY

Volume: 72

Page: 1562 - 1622

Year: 2010


Author: M. G. D. Geers; V. G. Kouznetsova; W. A. M. Brekelmans;

Title: Multi-scale computational homogenization: Trends and challenges

Journal: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Volume: 234

Page: 2175 - 2182

Year: 2010


Author: Kilho Eom; Gwonchan Yoon; Jae-In Kim; Sungsoo Na;

Title: Coarse-Grained Elastic Models of Protein Structures for Understanding Their Mechanics and Dynamics

Journal: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE

Volume: 7

Page: 1210 - 1226

Year: 2010


Author: Xiaolong Gou; Wenting Sun; Zheng Chen; Yiguang Ju;

Title: A dynamic multi-timescale method for combustion modeling with detailed and reduced chemical kinetic mechanisms

Journal: COMBUSTION AND FLAME

Volume: 157

Page: 1111 - 1121

Year: 2010


Author: Nikhil Chandra Admal; E. B. Tadmor;

Title: A Unified Interpretation of Stress in Molecular Systems

Journal: JOURNAL OF ELASTICITY

Volume: 100

Page: 63 - 143

Year: 2010


Author: Pablo Seleson; Max Gunzburger;

Title: Bridging Methods for Atomistic-to-Continuum Coupling and Their Implementation

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 7

Page: 831 - 876

Year: 2010


Author: Wei Chen; Xiaolei Yin; Sanghoon Lee; Wing Kam Liu;

Title: A Multiscale Design Methodology for Hierarchical Systems With Random Field Uncertainty

Journal: JOURNAL OF MECHANICAL DESIGN

Volume: 132

Year: 2010


Author: Mei Xu; Robert Gracie; Ted Belytschko;

Title: A continuum-to-atomistic bridging domain method for composite lattices

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Volume: 81

Page: 1635 - 1658

Year: 2010


Author: Yun Bai; Xingye Yue; Qingfeng Zeng;

Title: Multi-Scale Modeling and Numerical Simulation for CVI Process

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 7

Page: 597 - 612

Year: 2010


Author: Jie Sun; Ya-Ling He; Wen-Quan Tao;

Title: Scale effect on flow and thermal boundaries in micro-/nano-channel flow using molecular dynamics-continuum hybrid simulation method

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Volume: 81

Page: 207 - 228

Year: 2010


Author: Molei Tao; Houman Owhadi; Jerrold E. Marsden;

Title: NONINTRUSIVE AND STRUCTURE PRESERVING MULTISCALE INTEGRATION OF STIFF SDEs ODEs;, AND HAMILTONIAN SYSTEMS WITH HIDDEN SLOW DYNAMICS VIA FLOW AVERAGING

Journal: MULTISCALE MODELING & SIMULATION

Volume: 8

Page: 1269 - 1324

Year: 2010


Author: Lei Zhang; Leonid Berlyand; Maxim V. Fedorov; Houman Owhadi;

Title: GLOBAL ENERGY MATCHING METHOD FOR ATOMISTIC-TO-CONTINUUM MODELING OF SELF-ASSEMBLING BIOPOLYMER AGGREGATES

Journal: MULTISCALE MODELING & SIMULATION

Volume: 8

Page: 1958 - 1980

Year: 2010


Author: K. Nimsaila; I. Timofeyev;

Title: MARKOV CHAIN STOCHASTIC PARAMETRIZATIONS OF ESSENTIAL VARIABLES

Journal: MULTISCALE MODELING & SIMULATION

Volume: 8

Page: 2079 - 2096

Year: 2010


Author: Di Liu;

Title: ANALYSIS OF MULTISCALE METHODS FOR STOCHASTIC DYNAMICAL SYSTEMS WITH MULTIPLE TIME SCALES

Journal: MULTISCALE MODELING & SIMULATION

Volume: 8

Page: 944 - 964

Year: 2010


Author: Rupert Klein;

Title: Scale-Dependent Models for Atmospheric Flows

Journal: ANNUAL REVIEW OF FLUID MECHANICS SE Annual Review of Fluid Mechanics

Volume: 42

Page: 249 - 274

Year: 2010 BN 978-0-8243-0742-4


Author: M. P. Calvo; J. M. Sanz-Serna;

Title: HETEROGENEOUS MULTISCALE METHODS FOR MECHANICAL SYSTEMS WITH VIBRATIONS

Journal: SIAM JOURNAL ON SCIENTIFIC COMPUTING

Volume: 32

Page: 2029 - 2046

Year: 2010


Author: Assyr Abdulle; Achim Nonnenmacher;

Title: A short and versatile finite element multiscale code for homogenization problems (vol 198, pg 2839, 2009)

Journal: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Volume: 199

Page: 1240 - 1240

Year: 2010 SN 0045-7825


Author: Steven O. Nielsen; Rosa E. Bulo; Preston B. Moore; Bernd Ensing;

Title: Recent progress in adaptive multiscale molecular dynamics simulations of soft matter

Journal: PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Volume: 12

Page: 12401 - 12414

Year: 2010


Author: Peter M. A. Sloot; Alfons G. Hoekstra;

Title: Multi-scale modelling in computational biomedicine

Journal: BRIEFINGS IN BIOINFORMATICS

Volume: 11

Page: 142 - 152

Year: 2010


Author: Nikhil Chandra Admal; E. B. Tadmor; BE Fosdick, R; Fried, E

Title: A Unified Interpretation of Stress in Molecular Systems

Journal: STATISTICAL MECHANICS, MOLECULAR MODELING, AND THE NOTION OF STRESS: AN INVITED COLLECTION

Page: 63 - 143

Year: 2010


Author: Zhangxin Chen;

Title: On the heterogeneous multiscale method with various macroscopic solvers

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Volume: 71

Page: 3267 - 3282

Year: 2009


Author: J. M. Sanz-Serna;

Title: Modulated Fourier expansions and heterogeneous multiscale methods

Journal: IMA JOURNAL OF NUMERICAL ANALYSIS

Volume: 29

Page: 595 - 605

Year: 2009


Author: Da-Jiang Liu; J. W. Evans;

Title: Atomistic and multiscale modeling of CO-oxidation on Pd(100) and Rh(100): From nanoscale fluctuations to mesoscale reaction fronts

Journal: SURFACE SCIENCE

Volume: 603

Page: 1706 - 1716

Year: 2009


Author: Shan Jiang; Yunqing Huang;

Title: Numerical Investigation on the Boundary Conditions for the Multiscale Base Functions

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 5

Page: 928 - 941

Year: 2009


Author: P. Kanoute; D. P. Boso; J. L. Chaboche; B. A. Schrefler;

Title: Multiscale Methods for Composites: A Review

Journal: ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Volume: 16

Page: 31 - 75

Year: 2009


Author: James D. Lee; Xianqiao Wang; Youping Chen;

Title: Multiscale Computation for Nano/Micromaterials

Journal: JOURNAL OF ENGINEERING MECHANICS-ASCE

Volume: 135

Page: 192 - 202

Year: 2009


Author: J. D. Lee; X. Q. Wang; Y. P. Chen;

Title: Multiscale material modeling and its application to a dynamic crack propagation problem

Journal: THEORETICAL AND APPLIED FRACTURE MECHANICS

Volume: 51

Page: 33 - 40

Year: 2009


Author: Pingbing Ming; Jerry Zhijian Yang;

Title: ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD

Journal: MULTISCALE MODELING & SIMULATION

Volume: 7

Page: 1838 - 1875

Year: 2009


Author: Assyr Abdulle; Achim Nonnenmacher;

Title: A short and versatile finite element multiscale code for homogenization problems

Journal: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Volume: 198

Page: 2839 - 2859

Year: 2009


Author: Carlos J. Garcia-Cervera; Weiqing Ren; Jianfeng Lu; E. Weinan;

Title: Sequential Multiscale Modeling Using Sparse Representation

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 4

Page: 1025 - 1033

Year: 2008


Author: Jin Liu; Shiyi Chen; Xiaobo Nie; Mark O. Robbins;

Title: A Continuum-Atomistic Multi-Timescale Algorithm for Micro/Nano Flows

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 4

Page: 1279 - 1291

Year: 2008


Author: G. Bertotti;

Title: Connection between microstructure and magnetic properties of soft magnetic materials

Journal: JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

Volume: 320

Page: 2436 - 2442

Year: 2008


Author: Tiejun Li; Assyr Abdulle; E. Weinan;

Title: Effectiveness of implicit methods for stiff stochastic differential equations

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 3

Page: 295 - 307

Year: 2008


Author: Antoine Gloria;

Title: An analytical framework for numerical homogenization. Part II: Windowing and oversampling

Journal: MULTISCALE MODELING & SIMULATION

Volume: 7

Page: 274 - 293

Year: 2008


Author: Wei Wang; Xiantao Li; Chi-Wang Shu;

Title: The discontinuous Galerkin method for the multiscale modeling of dynamics of crystalline solids

Journal: MULTISCALE MODELING & SIMULATION

Volume: 7

Page: 294 - 320

Year: 2008


Author: Sebastien Boyaval;

Title: Reduced-basis approach for homogenization beyond the periodic setting

Journal: MULTISCALE MODELING & SIMULATION

Volume: 7

Page: 466 - 494

Year: 2008


Author: Volker Gravemeier; Stefan Lenz; Wolfgang A. Wall;

Title: Towards a taxonomy for multiscale methods in computational mechanics: building blocks of existing methods

Journal: COMPUTATIONAL MECHANICS

Volume: 41

Page: 279 - 291

Year: 2008


Author: B. Engquist; P. E. Souganidis; BE Iserles, A

Title: Asymptotic and numerical homogenization

Journal: ACTA NUMERICA 2008, VOL 17 SE Acta Numerica

Volume: 17

Page: 147 - 190

Year: 2008 BN 978-0-521-51642-6


Author: Alfons G. Hoekstra; Simon Portegies Zwart; Marian Bubak; Peter M. A. Sloot; BE Bader, DA

Title: Towards Distributed Petascale Computing

Journal: PETASCALE COMPUTING: ALGORITHMS AND APPLICATIONS SE Chapman & Hall-CRC Computational Science Series

Page: 147 - +

Year: 2008 BN 978-1-58488-909-0


Author: Ronald E. Miller; Ellad B. Tadmor;

Title: Hybrid continuum mechanics and atomistic methods for simulating materials deformation and failure

Journal: MRS BULLETIN

Volume: 32

Page: 920 - 926

Year: 2007


Author: Weinan E; Jianfeng Lu;

Title: Seamless multiscale modeling via dynamics on fiber bundles

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 5

Page: 649 - 663

Year: 2007


Author: Elena Kartashova; Alexey Kartashov;

Title: Laminated wave turbulence: Generic algorithms II

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 2

Page: 783 - 794

Year: 2007


Author: Carlos J. Garcia-Cervera; Jianfeng Lu; E. Weinan;

Title: A sub-linear scaling algorithm for computing the electronic structure of materials

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 5

Page: 999 - 1026

Year: 2007