ACM Transactions on Mathematical Software · 1979 · 298 citations · 7 references
Natural SciencesComputer ScienceMathematicsAlgorithmsDifferential EquationsScientific ComputingBoundary ConditionsNumerical AlgorithmsNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsPartial Differential EquationsDifferential Equation SolversDiscretization Of Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsPartial Differential Equation Solvers
The basic purpose of this paper is to describe and discuss PDECOL, which is a new computer software package for numerically solving coupled systems of nonlinear partial differential equations (PDE's) in one space and one time dimension. The package implements finite element collocation methods based on piecewise polynomials for the spatial discretization techniques. The time integration process is then accomplished by widely acceptable procedures
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Carl de Boor · Journal of Approximation Theory · 1972 · 1.8K citations
Collocation at Gaussian Points
Carl de Boor, Blair Swartz · SIAM Journal on Numerical Analysis · 1973 · 618 citations
Package for Calculating with B-Splines
Carl de Boor · SIAM Journal on Numerical Analysis · 1977 · 222 citations