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Spline interpolationMonotone convergence theoremLinear interpolationMonotonic functionDiscrete spline interpolationInterpolationPolynomial interpolationNewton polynomialBicubic interpolationInverse quadratic interpolationTrigonometric interpolationBilinear interpolationLagrange polynomialMultivariate interpolationIntegral test for convergenceLocal linearization methodNumerical stabilityConjugate gradient methodHermite interpolationBernstein polynomialTrigonometric polynomialBiconjugate gradient methodContour integrationConvex conjugateMonotone comparative staticsTotal variation diminishingLinear differential equationMidpoint methodInterpolation inequalityQuadratic variationPolyharmonic splineMonotone class theoremNumerical analysisApproximation theoryIsotonic regressionUniform convergenceCompact convergenceCubic hermite splineConvex analysisMonomial orderLinear approximationAnalytic number theoryIsometryDiscrete-time fourier transformDiscretizationHomeomorphismContinuous linear operatorNonlinear programmingInverse iterationIntegral curveTopological data analysisNumerical rangeQuasi-monte carlo methodSmoothnessAlternating series testNon-negative least squaresNumerical linear algebraLagrange inversion theoremMonodromy matrixAnalytic continuationConstant-q transformStability theoryMatrix analysisIterative methodCharacteristic polynomialAdaptive quadratureNumerical methodAlgebraic number theoryTrigonometric substitutionPower transformConstrained optimizationLinear functionJacobi methodQuasiconvex functionStationary phase approximationMilstein methodProjections onto convex setsNearest-neighbor interpolationOperational calculusConvergence of fourier seriesContinuantCollocation methodDini's theoremSpectral element methodConic optimizationFormal derivativeSymmetric polynomialHilbert transformContinuous functionRate of convergenceQuadratic reciprocityEmpirical orthogonal functionsMethods of computing square rootsKolmogorov continuity theoremDe casteljau's algorithmGenerating function transformationHarmonic polynomialConvex optimizationDiscrete mathematicsNumerical continuation