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1

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Chi-Wang Shu, Stanley Osher

Journal:

Journal of Computational Physics

Year:

1988

Language:

english

File:

PDF, 1.32 MB

english, 1988

2

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Bernardo Cockburn, Chi-Wang Shu

Journal:

Journal of Scientific Computing

Year:

2001

Language:

english

File:

PDF, 2.30 MB

english, 2001

3

Efficient Implementation of Weighted ENO Schemes

Guang-Shan Jiang, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 725 KB

english, 1996

4

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems

Bernardo Cockburn, San-Yih Lin, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

1989

Language:

english

File:

PDF, 905 KB

english, 1989

5

Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

Chi-Wang Shu, Stanley Osher

Journal:

Journal of Computational Physics

Year:

1989

Language:

english

File:

PDF, 10.04 MB

english, 1989

6

On the Gibbs Phenomenon and Its Resolution

Gottlieb, David, Shu, Chi-Wang

Journal:

Year:

1997

Language:

english

File:

PDF, 871 KB

english, 1997

7

Total-Variation-Diminishing Time Discretizations

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1988

Language:

english

File:

PDF, 1.16 MB

english, 1988

8

[Lecture Notes in Computational Science and Engineering] Discontinuous Galerkin Methods Volume 11 || The Development of Discontinuous Galerkin Methods

Cockburn, Bernardo, Karniadakis, George E., Shu, Chi-Wang

Year:

2000

Language:

english

File:

PDF, 5.53 MB

english, 2000

9

The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case

Cockburn, Bernardo, Hou, Suchung, Shu, Chi-Wang

Journal:

Mathematics of Computation

Year:

1990

Language:

english

File:

PDF, 2.78 MB

english, 1990

10

An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods

Mengping Zhang, Chi-Wang Shu

Journal:

Computers & Fluids

Year:

2005

Language:

english

File:

PDF, 301 KB

english, 2005

11

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn and Chi-Wang Shu

Journal:

SIAM Journal on Numerical Analysis

Year:

1998

Language:

english

File:

PDF, 1.52 MB

english, 1998

12

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Xiangxiong Zhang, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 2.03 MB

english, 2010

13

On positivity preserving finite volume schemes for Euler equations

Benoit Perthame, Chi-Wang Shu

Journal:

Numerische Mathematik

Year:

1996

Language:

english

File:

PDF, 138 KB

english, 1996

14

High-order ENO schemes applied to two- and three-dimensional compressible flow

Chi-Wang Shu, Thomas A. Zang, Gordon Erlebacher, David Whitaker, Stanley Osher

Journal:

Applied Numerical Mathematics

Year:

1992

Language:

english

File:

PDF, 3.04 MB

english, 1992

15

Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method II: Two dimensional case

Jianxian Qiu, Chi-Wang Shu

Journal:

Computers & Fluids

Year:

2005

Language:

english

File:

PDF, 1.90 MB

english, 2005

16

Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method: one-dimensional case

Jianxian Qiu, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 710 KB

english, 2004

17

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Yulong Xing, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 879 KB

english, 2005

18

Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives

Jue Yan, Chi-Wang Shu

Journal:

Journal of Scientific Computing

Year:

2002

Language:

english

File:

PDF, 139 KB

english, 2002

19

High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations

Osher, Stanley, Shu, Chi-Wang

Journal:

SIAM Journal on Numerical Analysis

Year:

1991

Language:

english

File:

PDF, 1.43 MB

english, 1991

20

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Journal:

Year:

2009

Language:

english

File:

PDF, 1.92 MB

english, 2009

21

Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

Qiu., Jianxian, Shu, Chi-Wang

Journal:

SIAM Journal on Scientific Computing

Year:

2005

Language:

english

File:

PDF, 2.78 MB

english, 2005

22

Strong Stability-Preserving High-Order Time Discretization Methods

Gottlieb, Sigal, Shu, Chi-Wang, Tadmor, Eitan

Journal:

Year:

2001

Language:

english

File:

PDF, 537 KB

english, 2001

23

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Cockburn, Bernardo, Shu, Chi-Wang

Journal:

Mathematics of Computation

Year:

1989

Language:

english

File:

PDF, 1.85 MB

english, 1989

24

A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

Cheng, Yingda, Shu, Chi-Wang

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 387 KB

english, 2007

25

Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

Cockburn, Bernardo, Luskin, Mitchell, Shu, Chi-Wang, Süli, Endre

Journal:

Mathematics of Computation

Year:

2002

Language:

english

File:

PDF, 850 KB

english, 2002

26

Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

Liu, Yong, Shu, Chi-Wang, Zhang, Mengping

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 1.20 MB

english, 2018

27

Preface to the Republication of “Uniformly High Order Essentially Non-oscillatory Schemes, III,” by Harten, Engquist, Osher, and Chakravarthy

Journal:

Journal of Computational Physics

Year:

1997

Language:

english

File:

PDF, 129 KB

english, 1997

28

A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

Jian-Guo Liu, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2000

Language:

english

File:

PDF, 374 KB

english, 2000

29

A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting

Journal:

Journal of Computational Physics

Year:

1992

Language:

english

File:

PDF, 492 KB

english, 1992

30

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Yulong Xing, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 721 KB

english, 2006

31

High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes

Ching-Shan Chou, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 666 KB

english, 2006

32

High order residual distribution conservative finite difference WENO schemes for convection–diffusion steady state problems on non-smooth meshes

Ching-Shan Chou, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 1.29 MB

english, 2007

33

Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations

Yan Xu, Chi-Wang Shu

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 5.42 MB

english, 2005

34

On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic function

David Gottlieb, Chi-Wang Shu

Journal:

Numerische Mathematik

Year:

1995

Language:

english

File:

PDF, 178 KB

english, 1995

35

High Order Strong Stability Preserving Time Discretizations

Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu

Journal:

Journal of Scientific Computing

Year:

2009

Language:

english

File:

PDF, 730 KB

english, 2009

36

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Yulong Xing, Xiangxiong Zhang, Chi-Wang Shu

Journal:

Advances in Water Resources

Year:

2010

Language:

english

File:

PDF, 1.99 MB

english, 2010

37

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Xiangxiong Zhang, Chi-Wang Shu

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 945 KB

english, 2011

38

On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Pecewise Analytic Function

Gottlieb, David, Shu, Chi-Wang

Journal:

SIAM Journal on Numerical Analysis

Year:

1996

Language:

english

File:

PDF, 931 KB

english, 1996

39

Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws

Qiu, Jing-Mei, Shu, Chi-Wang

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 1.20 MB

english, 2008

40

A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

Qiu, Jianxian, Shu, Chi-Wang

Journal:

SIAM Journal on Scientific Computing

Year:

2005

Language:

english

File:

PDF, 773 KB

english, 2005

41

Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

Zhang, Qiang, Shu, Chi-Wang

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 294 KB

english, 2004

42

TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

Bernardo Cockburn and Chi-Wang Shu

Journal:

Mathematics of Computation

Year:

1989

Language:

english

File:

PDF, 465 KB

english, 1989

43

[Lecture Notes in Computational Science and Engineering] Discontinuous Galerkin Methods Volume 11 ||

Cockburn, Bernardo, Karniadakis, George E., Shu, Chi-Wang

Year:

2000

Language:

english

File:

PDF, 397 KB

english, 2000

44

Total variation diminishing Runge-Kutta schemes

Gottlieb, Sigal, Shu, Chi-Wang

Journal:

Mathematics of Computation

Year:

1998

Language:

english

File:

PDF, 246 KB

english, 1998

45

Quadrature-Free Implementation of Discontinuous Galerkin Method for Hyperbolic Equations

Atkins, Harold L., Shu, Chi-Wang

Journal:

Year:

1998

Language:

english

File:

PDF, 2.09 MB

english, 1998

46

On a cell entropy inequality for discontinuous Galerkin methods

Jiang, Guang Shan, Shu, Chi-Wang

Journal:

Mathematics of Computation

Year:

1994

Language:

english

File:

PDF, 713 KB

english, 1994

47

On a Cell Entropy Inequality for Discontinuous Galerkin Methods

Guangshan Jiang and Chi-Wang Shu

Journal:

Mathematics of Computation

Year:

1994

Language:

english

File:

PDF, 210 KB

english, 1994

48

Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes

Zhu, Jun, Zhong, Xinghui, Shu, Chi-Wang, Qiu, Jianxian

Journal:

Communications in Computational Physics

Year:

2017

Language:

english

File:

PDF, 6.92 MB

english, 2017

49

H(div) conforming and DG methods for incompressible Euler’s equations

Guzmán, Johnny, Shu, Chi-Wang, Sequeira, Filánder A.

Journal:

IMA Journal of Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 17.31 MB

english, 2016

50

Numerical solutions of stochastic PDEs driven by arbitrary type of noise

Chen, Tianheng, Rozovskii, Boris, Shu, Chi-Wang

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2018

Language:

english

File:

PDF, 1.95 MB

english, 2018

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