Numerical differentiation procedures for non-exact data

From MaRDI portal
Publication:2561816

DOI10.1007/BF01436965zbMath0264.65014OpenAlexW1998549618MaRDI QIDQ2561816

Peter Bloomfield, Robert S. Anderssen

Publication date: 1974

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132262




Related Items (35)

Theory and the methods of solution of ill-posed problemsNumerical differentiation by a Tikhonov regularization method based on the discrete cosine transformOn the condition number of Lagrangian numerical differentiationStatistical methodology for inverse problemsThe Effective Choice of the Smoothing Norm in RegularizationDerivative spectroscopy -- an enhanced role for numerical differentiationVariable hilbert scales and their interpolation inequalities with applications to tikhonov regularizationAn algorithm for numerical differentiation of a function of one real variableTranslation invariant diagonal frame decomposition of inverse problems and their regularizationLearning partial differential equations for biological transport models from noisy spatio-temporal dataOn the discrepancy principle and generalised maximum likelihood for regularisationComputational experience with the spectral smoothing method for differentiating noisy dataAn FFT method for the numerical differentiationNumerical experimentation with time-series methods for convolution integral equationA survey of recent advances in the numerical treatment of Volterra integral and integro-differential equationsMultivariate numerical differentiationOn stable numerical differentiationA Hermite extension method for numerical differentiationAccurate derivative estimation from noisy data: a state-space approachDiscrete Lanczos derivatives of noisy dataSensitivity analysis of constrained linear \(L_1\) regression: perturbations to response and predictor variablesGeneral explicit difference formulas for numerical differentiationSparse discretization matrices for Volterra integral operators with applications to numerical differentiationComparing parameter choice methods for regularization of ill-posed problemsA rationale for the numerical differentiation of experimental dataNumerical differentiation of experimental data: local versus global methodsCoarse-grained computation for particle coagulation and sintering processes by linking quadrature method of moments with Monte-CarloOn an optimal method for the numerical differentiation of smooth functionsSensitivity analysis of constrained linear \(L_1\) regression: Perturbations to constraints, addition and deletion of observationsOn the application of eigenvector expansions to numerical deconvolutionA scheme for stable numerical differentiationA stable finite difference ansatz for higher order differentiation of non-exact dataRecovery of a variable coefficient in a coastal evolution equationNumerical Caputo differentiation by radial basis functionsExtremum estimation and numerical derivatives



Cites Work


This page was built for publication: Numerical differentiation procedures for non-exact data