| 著作及论文 |
| Books 1. Numerical Methods in Applied Sciences, W. Cai, Z.-C. Shi, C.-W. Shu and J. Xu, editors, Science Press, New York and Beijing, 1996. 2. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, volume 1697, Springer, 1998. 3. Discontinuous Galerkin...[详细] Books 1. Numerical Methods in Applied Sciences, W. Cai, Z.-C. Shi, C.-W. Shu and J. Xu, editors, Science Press, New York and Beijing, 1996. 2. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, volume 1697, Springer, 1998. 3. Discontinuous Galerkin Methods: Theory, Computation and Applications , B. Cockburn, G. Karniadakis and C.-W. Shu, editors, Lecture Notes in Computational Science and Engineering, volume 11, Springer, 2000. 4. High Order Numerical Methods for the Problems of Aerodynamics (in Russian) , V.I. Pinchukov and C.-W. Shu, Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia, 2000. 5. Recent Advances in Scientific Computing and Partial Differential Equations , S.Y. Cheng, C.-W. Shu and T. Tang, editors, Contemporary Mathematics, volume 330, American Mathematical Society, 2003. 6. Selected New Numerical Methods for Computational Fluid Dynamics (in Chinese) , R.-X. Liu and C.-W. Shu, Science Press, Beijing, 2003. Publications in Refereed Journals (Appeared or Accepted) 1. C.-W. Shu, TVB uniformly high order schemes for conservation laws, Mathematics of Computation, v49 (1987), pp.105-121. 2. C.-W. Shu, TVB boundary treatment for numerical solutions of conservation laws, Mathematics of Computation, v49 (1987), pp.123-134. 3. C.-W. Shu, Total-Variation-Diminishing time discretizations, SIAM Journal on Scientific and Statistical Computing, v9 (1988), pp.1073-1084. 4. C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, v77 (1988), pp.439-471. 5. B. Cockburn and C.-W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework, Mathematics of Computation, v52 (1989), pp.411-435. 6. C.-W. Shu and S. Osher, Efficient implementation of essentially non- oscillatory shock capturing schemes II, Journal of Computational Physics, v83 (1989), pp.32-78. 7. B. Cockburn, S.-Y. Lin and C.-W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems, Journal of Computational Physics, v84 (1989), pp.90-113. 8. W. Cai, D. Gottlieb and C.-W. Shu, Essentially non-oscillatory spectral Fourier methods for shock wave calculations, Mathematics of Computation, v52 (1989), pp.389-410. 9. B. Cockburn, S. Hou and C.-W. Shu, The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case, Mathematics of Computation, v54 (1990), pp.545-581. 10. C.-W. Shu, Numerical experiments on the accuracy of ENO and modified ENO schemes, Journal of Scientific Computing, v5 (1990), pp.127-149. 11. B. Cockburn and C.-W. Shu, The Runge-Kutta local projection P1-discontinuous Galerkin finite element method for scalar conservation laws, Mathematical Modelling and Numerical Analysis (M^2 AN), v25 (1991), pp.337-361. 12. S. Osher and C.-W. Shu, High order essentially non-oscillatory schemes for Hamilton-Jacobi equations, SIAM Journal on Numerical Analysis, v28 (1991), pp.907-922. 13. C.-W. Shu, A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting, Journal of Computational Physics v100 (1992), pp.424-429. 14. C.-W. Shu, T.A. Zang, G. Erlebacher, D. Whitaker and S. Osher, High order ENO schemes applied to two and three dimensional compressible flow, Applied Numerical Mathematics, v9 (1992), pp.45-71. 15. W. Cai, D. Gottlieb and C.-W. Shu, On one-sided filters for spectral Fourier approximations of discontinuous functions, SIAM Journal on Numerical Analysis v29 (1992), pp.905-916. 16. D. Chen, E. Kan, U. Ravaioli, C.-W. Shu and W. Dutton, An improved energy transport model including nonparabolicity and non-Maxwellian distribution effects, IEEE Electron Device Letters, v13 (1992), pp.26-28. 17. D. Gottlieb, C.-W. Shu, A. Solomonoff and H. Vandeven, On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a non-periodic analytic function, Journal of Computational and Applied Mathematics, v43 (1992), pp.81-98. 18. W. Cai and C.-W. Shu, Uniform high order spectral methods for one and two dimensional Euler equations, Journal of Computational Physics, v104 (1993), pp.427-443. 19. W. E and C.-W. Shu, Effective equations and the inverse cascade theory for Kolmogorov flows, Physics of Fluids A, v5 (1993), pp.998-1010. 20. W. E and C.-W. Shu, A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow, Journal of Computational Physics, v110 (1994), pp.39-46. 21. B. Cockburn and C.-W. Shu, Nonlinearly stable compact schemes for shock calculations, SIAM Journal on Numerical Analysis, v31 (1994), pp.607-627. 22. G.-S. Jiang and C.-W. Shu, On cell entropy inequality for discontinuous Galerkin methods, Mathematics of Computation, v62 (1994), pp.531-538. 23. W. E and C.-W. Shu, Small scale structures in Boussinesq convection, Physics of Fluids A, v6 (1994), pp.49-58. 24. J. Casper, C.-W. Shu and H.L. Atkins, Comparison of two formulations for high-order accurate essentially non-oscillatory schemes, AIAA Journal, v32 (1994), pp.1970-1977. 25. D. Gottlieb and C.-W. Shu, Resolution properties of the Fourier method for discontinuous waves, Computer Methods in Applied Mechanics and Engineering, v116 (1994), pp.27-37. 26. Z. Chen, B. Cockburn, J. Jerome and C.-W. Shu, Mixed-RKDG finite element methods for the 2-D hydrodynamic model for semiconductor device simulation, VLSI Design, v3 (1995), pp.145-158. 27. J. Jerome and C.-W. Shu, The response of the hydrodynamic model to heat conduction, mobility, and relaxation expressions, VLSI Design, v3 (1995), pp.131-143. 28. D. Gottlieb and C.-W. Shu, On the Gibbs phenomenon IV: recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function, Mathematics of Computation, v64 (1995), pp.1081-1095. 29. C.-W. Shu and P. Wong, A note on the accuracy of spectral method applied to nonlinear conservation laws, Journal of Scientific Computing, v10 (1995), pp.357-369. 30. J. Jerome and C.-W. Shu, Transport effects and characteristic modes in the modeling and simulation of submicron devices, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, v14 (1995), pp.917-923. 31. D. Gottlieb and C.-W. Shu, On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic function, Numerische Mathematik, v71 (1995), pp.511-526. 32. D. P. Chen, R. Eisenberg, J. Jerome and C.-W. Shu,1 A hydrodynamic model of temperature change in open ionic channels, Biophysical Journal, v69 (1995), pp.2304-2322. 33. D. Gottlieb and C.-W. Shu, On the Gibbs phenomenon III: recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function, SIAM Journal on Numerical Analysis, v33 (1996), pp.280-290. 34. B. Perthame and C.-W. Shu, On positive preserving finite volume schemes for compressible Euler equations, Numerische Mathematik, v73 (1996), pp.119-130. 35. E. Harabetian, S. Osher and C.-W. Shu, An Eulerian approach for vortex motion using a level set regularization procedure, Journal of Computational Physics, v127 (1996), pp.15-26. 36. G.-S. Jiang and C.-W. Shu, Efficient implementation of weighted ENO schemes, Journal of Computational Physics, v126 (1996), pp.202-228. 37. C.-W. Shu and Y. Zeng, High order essentially non-oscillatory scheme for viscoelasticity with fading memory, Quarterly of Applied Mathematics, v55 (1997), pp.459-484. 38. G. Erlebacher, M.Y. Hussaini and C.-W. Shu, Interaction of a shock with a longitudinal vortex, with Journal of Fluid Mechanics, v337 (1997), pp.129-153. 39. D. Gottlieb and C.-W. Shu, On the Gibbs phenomenon and its resolution,, SIAM Review, v30 (1997), pp.644-668. 40. K. Siddiqi, B. Kimia and C.-W. Shu, Geometric shock-capturing ENO schemes for subpixel interpolation, computation and curve evolution,, Computer Vision Graphics and Image Processing: Graphical Models and Image Processing (CVGIP:GMIP), v59 (1997), pp.278-301. 41. S. Gottlieb and C.-W. Shu, Total variation diminishing Runge-Kutta schemes, Mathematics of Computation, v67 (1998), pp.73-85. 42. B. Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems, Journal of Computational Physics, v141 (1998), pp.199-224. 43. H. Atkins and C.-W. Shu, Quadrature-free implementation of the discontinuous Galerkin method for hyperbolic equations, AIAA Journal, v36 (1998), pp.775-782. 44. G.-Q. Chen, J. Jero |
