Quarterly of Applied Mathematics · 1985 · 48 citations · 6 references
Numerical AnalysisMethod Of Fundamental SolutionNumerical ComputationEngineeringSingular Integral EquationsFirst KindValidated NumericsSingularly Perturbed ProblemNumerical TechniqueDefinite IntegralIntegral EquationSecond KindComputational MechanicsNumerical TreatmentApproximation TheoryNumerical Method For Partial Differential Equation
A numerical technique for the solution of singular integral equations of the second kind is presented. The technique extends the piecewise quadratic method used by Gerasoulis [6], to solve singular integral equations of the first kind. Quadrature formulae are derived in terms of infinite series and are used to reduce the integral equation to a set of linear algebraic equations. Two numerical examples are given, and the results are compared with exact solutions.
6
Calculus of Finite Differences.
Charles Jordan · Biometrika · 1963 · 253 citations
Numerical Analysis, Automatic Differentiation, Finite Differences +1