Proceedings of the IEEE · 1986 · 16 citations · 2 references
Natural SciencesPhysicsScientific ComputingConvergence AnalysisIntegral EquationsNumerical AnalysisNumerical IntegrationSingularity AnalysisAsymptotic AnalysisAsymptotic ExpansionsSaddle Point ProblemsSaddlepoint ApproximationsSingularitiesSteepest Descent
Previous uniform asymptotic evaluations of integrals have been restricted to cases where the integrand singularities are close to the saddle point(s). A method is presented here which allows such uniform evaluations with integrand singularities anywhere near the steepest descent path.
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