VOL. 1 · NO. 3 | September 2003
Lung-An Ying
Commun. Math. Sci. 1 (3), 393-407, (September 2003) Open Access
KEYWORDS: combustion, finite difference method, detonation wave, stiff equation, conservation law, 65M06, 35L65, 76M20, 80A25
Jean Dolbeault, Reinhard Illner
Commun. Math. Sci. 1 (3), 409-421, (September 2003) Open Access
KEYWORDS: traffic flow, time-dependent diffusions, drift-diffusion equations, nonlinear friction and diffusion coefficients, entropy method, Relative entropy, large time asymptotics, 90B20, 35K55, 35B40, 35B45, 94A17, 70F40, 60J60, 60J70, 92D99
Weinan E
Commun. Math. Sci. 1 (3), 423-436, (September 2003) Open Access
No abstract available
Yann Brenier, Norbert Mauser, Marjolaine Puel
Commun. Math. Sci. 1 (3), 437-447, (September 2003) Open Access
Maria Groppi, Micol Pennacchio
Commun. Math. Sci. 1 (3), 449-470, (September 2003) Open Access
KEYWORDS: Boltzmann equation, chemical reactions, finite volumes, semi-implicit schemes, 82C40, 76M12
Michael L. Minion
Commun. Math. Sci. 1 (3), 471-500, (September 2003) Open Access
KEYWORDS: Stiff equations, fractional step methods, method of lines
Anton Arnold, Matthias Ehrhardt, Ivan Sofronov
Commun. Math. Sci. 1 (3), 501-556, (September 2003) Open Access
KEYWORDS: Schrödinger equation, transparent boundary conditions, discrete convolution, sum of exponentials, Padé approximations, finite difference schemes, 65M12, 35Q40, 45K05
You-Lan Zhu
Commun. Math. Sci. 1 (3), 557-573, (September 2003) Open Access
Shi Jin, Stanley Osher
Commun. Math. Sci. 1 (3), 575-591, (September 2003) Open Access
KEYWORDS: Hyperbolic PDEs, Hamilton-Jacobi equations, level set method, multivalued solution, Liouville equation
No abstract available
Li-Tien Cheng, Hailiang Liu, Stanley Osher
Commun. Math. Sci. 1 (3), 593-621, (September 2003) Open Access
KEYWORDS: level set method, Schrödinger’s equation, semiclassical limit, wave front, multivalued phases, 35Q55, 65M25
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