A special stability problem for linear multistep methods
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Publication:5735521
DOI10.1007/BF01963532zbMath0123.11703WikidataQ55879574 ScholiaQ55879574MaRDI QIDQ5735521
Publication date: 1963
Published in: BIT (Search for Journal in Brave)
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equations of the second kind ⋮ One-Step Piecewise Polynomial Multiple Collocation Methods for Initial Value Problems ⋮ On the extended one-step schemes for solving stiff systems of ordinary differential equations ⋮ On the Accuracy of Galerkin Methods in the Time Domain ⋮ On the Accuracy of Discontinuous Galerkin Methods in the Time Domain ⋮ Non-relaxed finite volume fractional step schemes for unsteady incompressible flows ⋮ Solving a one-dimensional moving boundary problem based on wave digital principles ⋮ A re‐evaluation of overshooting in time integration schemes: The neglected effect of physical damping in the starting procedure ⋮ Load aliasing—A new additional test concept for effective control of nonhomogeneous high‐frequency behavior in linear multistep methods ⋮ Consistent splitting schemes for incompressible viscoelastic flow problems ⋮ Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics ⋮ A second-order scheme based on blended BDF for the incompressible MHD system ⋮ Diagonally implicit Runge-Kutta schemes: discrete energy-balance laws and compactness properties ⋮ An exponential approach to highly ill-conditioned linear systems ⋮ A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation ⋮ Compact schemes in time with applications to partial differential equations ⋮ The long time error estimates for the second order backward difference approximation to sub-diffusion equations with boundary time delay and feedback gain ⋮ HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES ⋮ Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework ⋮ On the accuracy, stability and computational efficiency of explicit last-stage 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