Xiao-Chuan Cai, Si Liu, Jun Zou
Commun. Appl. Math. Comput. Sci. 4 (1), 1-26, (2009) DOI: 10.2140/camcos.2009.4.1 Open Access
KEYWORDS: Inverse problems, domain decomposition, parallel computing, partial differential equations constrained optimiztion, inexact Newton, 65N21, 65N55, 65Y05
Andrew Christlieb, Benjamin Ong, Jing-Mei Qiu
Commun. Appl. Math. Comput. Sci. 4 (1), 27-56, (2009) DOI: 10.2140/camcos.2009.4.27 Open Access
KEYWORDS: spectral deferred correction methods, integral deferred correction methods, Runge–Kutta methods, multistage methods, multistep methods, efficiency, stability, Accuracy, 65L05, 65L06, 65L20, 65L70, 65B05
Andrew Nonaka, David Trebotich, Gregory Miller, Daniel Graves, Phillip Colella
Commun. Appl. Math. Comput. Sci. 4 (1), 57-83, (2009) DOI: 10.2140/camcos.2009.4.57 Open Access
KEYWORDS: viscoelasticity, Oldroyd-B fluid, Godunov method, Riemann solver, projection method, embedded boundaries, 65N06, 76D05
Yoichiro Mori, Charles Peskin
Commun. Appl. Math. Comput. Sci. 4 (1), 85-134, (2009) DOI: 10.2140/camcos.2009.4.85 Open Access
KEYWORDS: three-dimensional cellular electrophysiology, electrodiffusion, ephaptic transmission, finite volume method, 65M12, 92C30, 92C50
Michael Sekora, James Stone
Commun. Appl. Math. Comput. Sci. 4 (1), 135-152, (2009) DOI: 10.2140/camcos.2009.4.135 Open Access
KEYWORDS: Godunov methods, radiation hydrodynamics, asymptotic preserving methods, hyperbolic conservation laws, stiff source terms, stiff relaxation, 35B40, 35L65, 35M10, 76M12
Grigory Barenblatt
Commun. Appl. Math. Comput. Sci. 4 (1), 153-175, (2009) DOI: 10.2140/camcos.2009.4.153 Open Access
KEYWORDS: turbulence, turbulent shear flows, laminarization of turbulent flows, dust storms, tropical hurricanes, firestorms, 76F10
David Ambrose, Jon Wilkening
Commun. Appl. Math. Comput. Sci. 4 (1), 177-215, (2009) DOI: 10.2140/camcos.2009.4.177 Open Access
KEYWORDS: periodic solutions, Benjamin–Ono equation, nonlinear waves, solitons, bifurcation, continuation, exact solution, adjoint equation, Spectral method, 35Q53, 37G15, 37M20, 65K10
Panagiotis Stinis
Commun. Appl. Math. Comput. Sci. 4 (1), 217-239, (2009) DOI: 10.2140/camcos.2009.4.217 Open Access
KEYWORDS: singularities, partial differential equations, mesh refinement, phase transition, renormalization, Blow-up, Dimension reduction, 35L67, 65M50, 65M70, 76B99
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