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Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods.

, , and . Comput. Math. Appl., 71 (7): 1425-1447 (2016)

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Parallel Solution of Nonlinear Parabolic Problems on Logically Rectangular Grids., , and . PPAM, volume 4967 of Lecture Notes in Computer Science, page 371-380. Springer, (2007)New fractional step Runge-Kutta-Nyström methods up to order three., , and . Appl. Math. Comput., (2020)An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type., and . Numer. Algorithms, 85 (3): 1005-1027 (2020)Numerical Methods for Evolutionary Convection-Diffusion Problems with Nonlinear Reaction Terms., and . PPAM, volume 2328 of Lecture Notes in Computer Science, page 833-840. Springer, (2001)A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction., and . Numer. Algorithms, 75 (3): 809-826 (2017)Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems., and . NAA, volume 1988 of Lecture Notes in Computer Science, page 133-143. Springer, (2000)Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge-Kutta-Nyström methods., , and . Comput. Math. Appl., 71 (7): 1425-1447 (2016)Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems., and . Comput. Math. Appl., 70 (3): 222-235 (2015)Locally linearized fractional step methods for nonlinear parabolic problems., , and . J. Comput. Appl. Math., 234 (4): 1117-1128 (2010)An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems., and . J. Comput. Appl. Math., (2019)