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| 1 | Heterogeneous Multiscale Methods: A Review显示文摘This paper gives a systematic introduction to HMM,the heterogeneous multiscale methods,including the fundamental design principles behind the HMM philosophy and the main obstacles that have to be overcome when using HMM for a particular problem.This is illustrated by examples from several application areas,including complex fluids,micro-fluidics,solids,interface problems,stochastic problems,and statistically self-similar problems.Emphasis is given to the technical tools,such as the various constrained molecular dynamics,that have been developed,in order to apply HMM to these problems.Examples of mathematical results on the error analysis of HMM are presented.The review ends with a discussion on some of the problems that have to be solved in order to make HMM a more powerful tool. | Weinan E Bjorn Engquist Xiantao Li Weiqing Ren Eric Vanden-Eijnden | 2007 | Communications in Computational Physics2007，2，3： | 4 |
| 2 | Nonlinear filters for efficient shock computation 显示文摘 | Bjorn Engquist Per Lotstedt Bjorn Sjogreen | 1989 | Mathematics of Computation1989，52，： | 2 |
| 3 | Absorbing boundary conditions for wave equation Migration显示文摘 | Clayton R Engquist B | 1980 | Geophysics1980，45，： | 2 |
| 4 | Absorbing boundary conditions for acoustic and elastic wave equations显示文摘 | CLAYTON R ENGQUIST B | 1977 | Bulletin of the Seismological Society of America1977，67，6： | 1 |
| 5 | Absorbing boundary conditions for the numerical simulation of waves显示文摘 | Engquist B Majda A | 1977 | Mathematics of Computation1977，31，139： | 1 |
| 6 | Absorbing boundary conditions for acoustic and elastic wave equations 显示文摘 | Clayton Engquist | 1977 | Bull Seism Soc Am1977，67，： | 1 |
| 7 | Discretization of Dirac delta functions in level set methods 显示文摘 | ENGQUIST B TORNBERG A TSAI R | 2005 | Journal of Computational Physics2005，207，1： | 1 |
| 8 | Absorbing boundary conditions for the numerical solution of waves显示文摘 | Engquist B and Majda A | 1977 | Mathematics of Computations1977，31，3： | 1 |
| 9 | Uniformly high order accurate essentially non-oscillatory scheme III 显示文摘 | Harten A Engquist B Osher S | 1987 | Journal of Computational Physics1987，71，2： | 1 |
| 10 | Single tooth replacements by osseointegrated Branemark implants显示文摘 | ENGQUIST B NILSON H ASTRAND P | | 0，，04： | 1 |
| 11 | Depression, anxiety, and quality of life in patients with ep- ithelial ovarian cancer 显示文摘 | Bodurka - Bevers D Basen - Engquist K Carmack CL | 2000 | Gynecol- Dncol2000，，： | 1 |
| 12 | Absorbing boundary conditions for acoustic and elastic wave equations显示文摘 | Engquist B | 1977 | Bulletin of the Seismological Society of America1977，66，11： | 1 |
| 13 | Absorbing boundary conditions for wave -equation migration显示文摘 | Clayton R Engquist B | 1997 | Bull Seism Soc Amer1997，76，： | 1 |
| 14 | Absorbing boundary conditions for acoustic and elastic wave equations显示文摘 | Clayton R Engquist B | 1977 | Bull Seismological Society of America1977，67，： | 1 |
| 15 | Higher order paraxial wave equation approximations in heterogeneous media 显示文摘 | Barnberger A Engquist B | 1988 | Journal of Applied Mathematics1988，48，1： | 1 |
| 16 | Absrobing boundary conditions for acoustic and elastic wave equations显示文摘 | Clayton R W Engquist B | 1977 | Bulletin of the Seismological Society of America1977，67，6： | 1 |
| 17 | Uniformly high order essentially non - oscillatory scheme III 显示文摘 | Harten A Engquist B Osher S | 1987 | J Comput Phys1987，71，： | 1 |
| 18 | Depression anxiety and quality of life in patients with epithelial ovarian cancer 显示文摘 | Diane Bodurka Bevers Karen Basen Engquist Cindy L Carmack | 2000 | Gynecologic oncology2000，78，3： | 1 |
| 19 | Uniformly high-order accurate non-oscillatory schemes, III 显示文摘 | HARTEN A ENGQUIST B OSHER S and CHAKRAVATHY S | 1981 | J Comp Phys1981，71，： | 1 |
| 20 | Absorbing boundary Conditions for wave equation migration 显示文摘 | Clayton R W Engquist B | 1980 | Geophysics1980，45，5： | 1 |
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