International Journal of Mathematics and Mathematical Sciences · 2004 · 11 citations · 7 references
Natural SciencesComputational EngineeringMathematicsComputational MechanicsDifferential EquationsInitial Value ProblemsIntegral Equation FormulationsIntegral EquationsNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsInterpolating SplinesNumerical Methods For Initial Value ProblemsNumerical Methods For Integral EquationsSpline ApproximationSpline InterpolationVolterra EquationsVolterra Integral EquationsVolterra Theory
We have presented a method for the construction of an approximation to the initial‐value second‐order Volterra integrodifferential equation (VIDE). The polynomial spline collocation methods described here give a superconvergence to the solution of the equation.
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Stability of numerical methods for volterra integro-differential equations
H. Brunner, J. D. Lambert · Computing · 1974 · 89 citations