Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework

Journal of Scientific Computing ◽

10.1007/s10915-014-9913-2 ◽

2014 ◽

Vol 64 (3) ◽

pp. 670-695 ◽

Author(s):

Peng Li ◽

Zhen Gao ◽

Wai-Sun Don ◽

Shusen Xie

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Continuation Method ◽

Single Domain ◽

Hyperbolic Conservation ◽

Fourier Continuation

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Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey’s Boxplot Method

Journal of Scientific Computing ◽

10.1007/s10915-017-0465-0 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 736-752 ◽

Author(s):

Zhen Gao ◽

Xiao Wen ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Multi Resolution Analysis ◽

Resolution Analysis

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On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. I. Nonstiff strongly dynamic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0606501-1 ◽

1981 ◽

Vol 36 (154) ◽

pp. 353-353

Author(s):

Amiram Harten ◽

Hillel Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Dynamic Problems ◽

Hyperbolic Conservation ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. II. Five-point schemes

Journal of Computational Physics ◽

10.1016/0021-9991(81)90100-5 ◽

1981 ◽

Vol 41 (2) ◽

pp. 329-356 ◽

Author(s):

A Harten ◽

H Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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LARGE TIME STEP GENERALIZATION OF RANDOM CHOICE FINITE DIFFERENCE SCHEME FOR HYPERBOLIC CONSERVATION LAWS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30328-x ◽

1989 ◽

Vol 9 (1) ◽

pp. 33-42 ◽

Author(s):

Jinghua Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Random Choice ◽

Time Step ◽

Hyperbolic Conservation ◽

Large Time Step

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A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/0718021 ◽

1981 ◽

Vol 18 (2) ◽

pp. 289-315 ◽

Author(s):

Amiram Harten ◽

Peter D. Lax

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Random Choice ◽

Hyperbolic Conservation

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On a Fourth Order Accurate Implicit Finite Difference Scheme for Hyperbolic Conservation Laws: I. Nonstiff Strongly Dynamic Problems

Mathematics of Computation ◽

10.2307/2007647 ◽

1981 ◽

Vol 36 (154) ◽

pp. 353 ◽

Author(s):

Amiram Harten ◽

Hillel Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Dynamic Problems ◽

Hyperbolic Conservation ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/15m1021520 ◽

2016 ◽

Vol 38 (2) ◽

pp. A691-A711 ◽

Author(s):

Wai-Sun Don ◽

Zhen Gao ◽

Peng Li ◽

Xiao Wen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Detection Algorithm ◽

Hyperbolic Conservation ◽

Shock Detection

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Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/18m1166365 ◽

2018 ◽

Vol 40 (6) ◽

pp. A3699-A3714

Author(s):

B. S. Wang ◽

W. S. Don ◽

Z. Gao ◽

Y. H. Wang ◽

X. Wen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Detection Method ◽

Hyperbolic Conservation ◽

Shock Detection

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An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2018.07.052 ◽

2018 ◽

Vol 374 ◽

pp. 469-477 ◽

Author(s):

Bao-Shan Wang ◽

Peng Li ◽

Zhen Gao ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

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Hybrid Fourier-Continuation method and WENO-Z finite difference scheme for multi-dimensional detonation structure simulations

Pure and Applied Mathematics Quarterly ◽

10.4310/pamq.2018.v14.n1.a2 ◽

2018 ◽

Vol 14 (1) ◽

pp. 27-55

Author(s):

Peng Li ◽

Zhen Gao ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Continuation Method ◽

Detonation Structure ◽

Fourier Continuation

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