Higher-order accurate least-squares methods for first-order initial value problems

DOI<77::AID-NME579>3.0.CO;2-5 10.1002/(SICI)1097-0207(19990510)45:1<77::AID-NME579>3.0.CO;2-5zbMath0938.74066OpenAlexW1966115869MaRDI QIDQ4266632

T. C. Fung

Publication date: 27 June 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990510)45:1<77::aid-nme579>3.0.co;2-5

zbMATH Keywords

stabilityaccuracyweighted residual methodmulti-degree-of-freedom systemsfirst-order initial value problemsweighting parameter methodtime-step integration\(A\)-stable generalized Padé approximationsleast-square procedurespseudo-least-squares methodunconditionally stable higher-order accurate algorithms

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10)

Related Items (7)

A new family of time integration methods for heat conduction problems using numerical Green's functions ⋮ Solving initial value problems by differential quadrature method?part 1: first-order equations ⋮ On the equivalence of the time domain differential quadrature method and the dissipative Runge-Kutta collocation method ⋮ A time integration algorithm for linear transient analysis based on the reproducing kernel method ⋮ Collocation methods with controllable dissipation for linear dynamics ⋮ Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations ⋮ The Nørsett time integration methodology for finite element transient analysis

Cites Work

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• Higher order methods for transient diffusion analysis
• Least squares finite element formulation in the time domain for the dual reciprocity boundary element method in heat conduction
• Comparison of some single-step methods for the numerical solution of the structural dynamic equation
• Least‐squares schemes for time integration of thermal problems
• Weighted residual solutions in the time domain
• A review of least‐squares methods for solving partial differential equations
• An application of least squares to one-dimensional transient problems

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