An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. [PDF]
Bazhlekova E, Jin B, Lazarov R, Zhou Z.
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Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data. [PDF]
Wulff C, Evans C.
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Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement. [PDF]
Meng X, Ryan JK.
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Parameter uniform finite difference formulation with oscillation free for solving singularly perturbed delay parabolic differential equation via exponential spline. [PDF]
Hassen ZI, Duressa GF.
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Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. [PDF]
Auzinger W+3 more
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Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation. [PDF]
Dolejší V, Shin HG, Vlasák M.
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A Finite Volume Element Method for a Nonlinear Parabolic Problem [PDF]
Chatzipantelidis, Panagiotis+1 more
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Finite element approximations for a linear fourth-order parabolic SPDE in two and three dimensions with additive space-time white noise [PDF]
Kossioris, Georgios T.+1 more
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A combined scheme of the improved two-grid technique with the block-centered finite difference method is constructed and analyzed to solve the nonlinear time-fractional parabolic equation.
Xiaoli Li+2 more
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Numerical Integrators for Dispersion-Managed KdV Equation
Communications in Computational Physics, 2022In this paper, we consider the numerics of the dispersion-managed Kortewegde Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media.
Ying He null, Xiaofei Zhao
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