Search results for "Spline collocation"

showing 3 items of 3 documents

A Spline Collocation Scheme for the Spherical Shallow Water Equations

1999

Computational MathematicsNumerical AnalysisPhysics and Astronomy (miscellaneous)Spline collocationApplied MathematicsModeling and SimulationScheme (mathematics)Method of linesMathematical analysisNumerical weather predictionShallow water equationsComputer Science ApplicationsMathematicsJournal of Computational Physics
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On the stability of spline-collocation methods of multivalue type

1987

In this paper the general classV of spline-collocation methods for first order systems of ordinary differential equations is investigated. The methods can in part be regarded as so-called multivalue methods. This type contains the generalized singly-implicit methods treated by Butcher.

Computer Networks and CommunicationsDifferential equationApplied MathematicsMathematical analysisStability (learning theory)Type (model theory)Computational MathematicsSpline collocationCollocation methodOrdinary differential equationApplied mathematicsFundamental Resolution EquationMultiValueSoftwareMathematicsBIT
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A-stable spline-collocation methods of multivalue type

1989

In this paper the general classV of spline-collocation methods presented by Multhei is investigated. The methods ofV approximate solutions of first order initial value problems. ClassV contains as subclass the methods of so-called multivalue type, and in particular contains the generalized singly-implicit methods treated by Butcher.

Computer Networks and CommunicationsDifferential equationApplied MathematicsNumerical analysisMathematical analysisFirst orderComputational MathematicsSpline (mathematics)Spline collocationCollocation methodInitial value problemApplied mathematicsMultiValueSoftwareMathematicsBIT
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