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Perturbation theoryLinear approximationParametrixFourier analysisMultiple-scale analysisTheory of computationOrder of approximationInterpolationMathematical analysisSummation by partsStability theoryNumerical analysisChange of variablesAnalytic number theoryFinite difference methodMollifierAlgebraic number theoryMeasure theoryProbability theoryApproximation algorithmPartial differential equationNumerical integrationIterative methodDiscretizationFunctional calculusDynamical systems theoryEffective field theoryMathematical statisticsIntegralTruncation errorLinear interpolationTotal derivativeComplex analysisArithmetic geometryAlgebraic analysisFunctional analysisNumerical linear algebraExact differential equationMinimax approximation algorithmApproximation errorProbability distributionModel of computationMathematical economicsExtrapolationProbability mass functionEuler methodFormal derivativeStationary phase approximationPropagation of uncertaintyOrder of accuracyGeometric quantizationFloating-point arithmeticFunction applicationLagrangian relaxationTheoretical physicsCollocation methodGeometric analysisDifferential equationFinite difference coefficientNumerical differentiationProbability measureDerivationIntegral transformOperator theoryAsymptotic analysisAnalytic continuationCategory theoryMatrix differential equationOrdinary differential equationFractional calculusOperational calculusComputability theoryNumber theoryCharacteristic functionTheory of equationsLow-rank approximationGeneralizations of the derivativeMathematicsRounding errorSize theoryClass field theorySubharmonic functionEstimation theoryLaplace's methodNumber-theoretic functionQuantities of informationGeometry of numbersConvex analysisSparse approximationAlgebraic combinatoricsResolvent formalismSecant methodErrors-in-variables modelsAffine arithmeticMethod of characteristicsDimensional analysisMensurationIntersection theoryExperimental mathematicsImplicit function theorem