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Finite difference methodSplit-step methodFinite element methodFinite volume methodSpectral element methodExtended finite element methodEuler methodMidpoint methodCentral differencing schemeDiscrete-time fourier transformLocal linearization methodFrobenius methodTotal variation diminishingBackward euler methodConjugate gradient methodFixed-point iterationPseudo-spectral methodSecant methodCollocation methodInverse quadratic interpolationMilstein methodInfinite element methodBiconjugate gradient methodLeapfrog integrationInverse iterationInverse scattering transformAdjoint state methodNumerical analysisHalley's methodQuasi-monte carlo methodFractional fourier transformMethod of characteristicsAitken's delta-squared processSliding dftExplicit and implicit methodsNumerical integrationDiscrete fourier transformClenshaw algorithmJacobi methodNumerical methodShort-time fourier transformDirect multiple shooting methodPath integral monte carloNumerov's methodTrapezoidal ruleNumerical differentiationTemporal discretizationHeat equationComputational fluid dynamicsFredholm integral equationFloquet theoryExact differential equationFourier transformLaplace's methodMultigrid methodTime-scale calculusRidders' methodFourier analysisStiffness matrixTruncated newton methodDuhamel's principleSuccessive over-relaxationPoisson summation formulaFast fourier transformSpectral methodSeparation of variablesAnalytic number theoryDynamical systems theoryFinal value theoremPerturbation theoryQuantum jump methodDensity functional theoryLagrange inversion theoremBackward differentiation formulaNumerical continuationHomotopy analysis methodDiscrete spline interpolationDiscontinuous galerkin methodFourier-transform spectroscopyLogarithmic differentiationFubini's theoremBrent's methodParticle-in-cellMathematical financeRicci flowMultiple-scale analysisGraph fourier transformDft matrixLiouville field theoryBiharmonic equationExponential integratorProjections onto convex setsInterpolationNewton's method in optimizationAlgebraic riccati equationAdomian decomposition methodHermite interpolationDirect simulation monte carloLattice boltzmann methodsNewmark-beta method