THE METHOD OF SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT — A NEW PARADIGM FOR NUMERICAL SOLUTION OF CONSERVATION LAWS

Computational Fluid Dynamics Review 1998 ◽

10.1142/9789812812957_0011 ◽

1998 ◽

pp. 206-240 ◽

Author(s):

Sin-Chung CHANG ◽

Sheng-Tao YU ◽

Ananda HIMANSU ◽

Xiao-Yen WANG ◽

Chuen-Yen CHOW ◽

...

Keyword(s):

Conservation Laws ◽

Numerical Solution ◽

New Paradigm ◽

Solution Element

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A characteristic space–time conservation element and solution element method for conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2015.02.018 ◽

2015 ◽

Vol 288 ◽

pp. 101-118 ◽

Author(s):

Hua Shen ◽

Chih-Yung Wen ◽

De-Liang Zhang

Keyword(s):

Conservation Laws ◽

Characteristic Space ◽

Solution Element ◽

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Application of a space- time CE/SE (Conservation Element/Solution Element) method to the numerical solution of chromatographic separation processes

Computer Aided Chemical Engineering - Process Systems Engineering 2003, 8th International Symposium on Process Systems Engineering ◽

10.1016/s1570-7946(03)80600-4 ◽

2003 ◽

pp. 535-540

Author(s):

Young-il Lim ◽

Sten Bay Jorgensen

Keyword(s):

Numerical Solution ◽

Chromatographic Separation ◽

Element Solution ◽

Separation Processes ◽

Solution Element ◽

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Treating stiff source terms in conservation laws by the space-time conservation element and solution element method

Sixteenth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/bfb0106620 ◽

2008 ◽

pp. 433-438 ◽

Author(s):

Sheng-Tao Yu ◽

Sin-Chung Chang ◽

Philip C. E. Jorgenson ◽

Surg-Jue Park ◽

Ming-Chia Lai

Keyword(s):

Conservation Laws ◽

Source Terms ◽

Solution Element ◽

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High-resolution genuinely multidimensional solution of conservation laws by the space-time conservation element and solution element method

10.2514/6.1999-1006 ◽

1999 ◽

Author(s):

Ananda Himansu ◽

Sin-Chung Chang ◽

Sheng-Tao Yu ◽

Xiao-Yen Wang ◽

Ching-Yuen Loh ◽

...

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Solution Element ◽

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The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws

Journal of Computational Physics ◽

10.1006/jcph.1999.6354 ◽

1999 ◽

Vol 156 (1) ◽

pp. 89-136 ◽

Author(s):

Sin-Chung Chang ◽

Xiao-Yen Wang ◽

Chuen-Yen Chow

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Solution Element ◽

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A characteristic space–time conservation element and solution element method for conservation laws II. Multidimensional extension

Journal of Computational Physics ◽

10.1016/j.jcp.2015.11.017 ◽

2016 ◽

Vol 305 ◽

pp. 775-792 ◽

Author(s):

Hua Shen ◽

Chih-Yung Wen

Keyword(s):

Conservation Laws ◽

Characteristic Space ◽

Solution Element ◽

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A space-time discontinuous Galerkin method for the time-accurate numerical solution of hyperbolic conservation laws

10.2514/6.1995-1658 ◽

1995 ◽

Author(s):

R Lowrie ◽

P Roe, n Leer, B

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Accurate Numerical Solution

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A brief description of a new numerical framework for solving conservation laws — The method of space-time conservation element and solution element

Thirteenth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-56394-6_255 ◽

2008 ◽

pp. 396-400 ◽

Author(s):

S.C. Chang ◽

W.M. Tot

Keyword(s):

Conservation Laws ◽

Solution Element

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Treatments of stiff source terms in conservation laws by the method of space-time conservation element/solution element

10.2514/6.1997-435 ◽

1997 ◽

Author(s):

Sheng-Tao Yu ◽

Sin-Chung Chang ◽

Sheng-Tao Yu ◽

Sin-Chung Chang

Keyword(s):

Conservation Laws ◽

Element Solution ◽

Source Terms ◽

Solution Element

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Fibonacci polynomials for the numerical solution of variable‐order space‐time fractional Burgers‐Huxley equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7222 ◽

2021 ◽

Author(s):

M. H. Heydari ◽

Z. Avazzadeh

Keyword(s):

Numerical Solution ◽

Variable Order ◽

Fibonacci Polynomials ◽

Huxley Equation

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