Mathematics of Computation · 1977 · 31 citations · 9 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationIterative SolversNumerical AlgorithmsNumerical Methods For Differential EquationsDiscretizationGalerkin ApproximationGalerkin DiscretizationParabolic Boundary-value ProblemsParabolic Partial Differential EquationsSpatial DiscretizationSpatial Discretization SchemesTime-stepping Schemes
In this paper we construct and analyze classes of single step methods of arbitrary order for homogeneous linear initial boundary value problems for parabolic equations with time-independent coefficients. The spatial discretization is done by means of general Galerkin-type methods.
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Galerkin Methods for Parabolic Equations
Jim Douglas, Todd Dupont · SIAM Journal on Numerical Analysis · 1970 · 396 citations