The Galerkin Method Based on Hermite Cubics

DOI10.1137/0716032zbMath0414.65058OpenAlexW2012207048MaRDI QIDQ3049778

G. W. Hedstrom

Publication date: 1979

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0716032

zbMATH Keywords

Galerkin methodinitial value problemsmethod of lineslinear equationsfirst order partial differential equationsHermite cubic polynomials

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for linear first-order PDEs (35F10)

Related Items (6)

Parasitic waves and solitons in the numerical solution of the Korteweg-de Vries and modified Korteweg-de Vries equation ⋮ A Finite Element Method for First-Order Hyperbolic Systems ⋮ A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping ⋮ The use of quadratic finite element methods and irregular grids in the solution of hyperbolic problems ⋮ On the accuracy of the finite element method plus time relaxation ⋮ An engineer's guide to soliton phenomena: Application of the finite element method

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