Stable second-order finite-difference methods for linear initial-boundary-value problems
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Publication:2488688
DOI10.1016/j.aml.2005.04.003zbMath1090.35015OpenAlexW2075968742MaRDI QIDQ2488688
Publication date: 11 May 2006
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2005.04.003
Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Theoretical approximation in context of PDEs (35A35)
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A modified Crank-Nicolson scheme with incremental unknowns for convection dominated diffusion equations ⋮ Numerical methods for nonlinear second-order hyperbolic partial differential equations. I: Time-linearized finite difference methods for 1-D problems ⋮ Spline methods for the solutions of hyperbolic equations ⋮ The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method ⋮ Parameters spline methods for the solution of hyperbolic equations
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