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Discontinuous galerkin methodSpectral element methodHilbert spaceConjugate gradient methodOperational calculusFinite difference methodNumerical linear algebraContinuous linear operatorCalculus on euclidean spaceLocal linearization methodBoundary value problemAlgebraic analysisDiscretizationTime-scale calculusMultiple-scale analysisDiscrete mathematicsClass field theoryCentral differencing schemeFrobenius methodAlgebraic combinatoricsStiffness matrixBiconjugate gradient methodGeometric flowLinear differential equationDomain decomposition methodsDiscrete spline interpolationLinear interpolationFunctional analysisEuler methodPseudo-spectral methodConvex analysisResolvent formalismBiharmonic equationLagrange multiplierFundamental solutionEmpirical orthogonal functionsInterpolationSemi-implicit euler methodConstrained optimizationLagrange's identityOperator theoryOperator algebraCollocation methodRicci flowLinear mapCoarea formulaDiscrete calculusSeparation of variablesBerezin integralHolonomic basisSpectrumGeometric group theoryDuhamel's principleExact differential equationGroup representationNumerical integrationFunction of a real variableAlgebraic riccati equationParametrizationFunctional derivativeCompact operator on hilbert spaceSymbolic dynamicsBernstein polynomialDiscrete fourier transformPartial differential equationMagnus expansionNumerical differentiationGenerating functionPerturbation theoryLagrange inversion theoremGlobal analysisLinear formDe rham cohomologyCompact operatorMalliavin calculusPoisson summation formulaConvex conjugateExterior covariant derivativeDescribing functionCombinatorial speciesSplit-step methodFinite volume methodCalculusLagrangian relaxationChange of basisTrace classDirichlet problemAutomatic differentiationGaussian processDifferentialDynamical systems theoryDifferential formLinear discriminant analysisDe casteljau's algorithmTrigonometric polynomialDiscrete chebyshev polynomialsFtcs schemeNumerical analysisMatrix differential equationLiouville field theory