The singular value expansion of the Volterra integral equation associated to a numerical differentiation problem
From MaRDI portal
Publication:681777
DOI10.1016/j.jmaa.2017.12.007zbMath1382.65063OpenAlexW2772524497WikidataQ124542144 ScholiaQ124542144MaRDI QIDQ681777
Pierluigi Maponi, Nadaniela Egidi
Publication date: 13 February 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.007
algorithmnumerical differentiationVolterra integral equationnumerical experimentsingular value expansion
Related Items
A Fredholm integral operator for the differentiation problem, An FFT method for the numerical differentiation, A spectral method for the solution of boundary value problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Efficient numerical differentiation of implicitly-defined curves for sparse systems
- Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Complex-step derivative approximation in noisy environment
- Van der Monde systems and numerical differentiation
- Generalized Romberg methods for integrals of derivatives
- Numerical Differentiation of Approximated Functions with Limited Order-of-Accuracy Deterioration
- A modified truncated singular value decomposition method for discrete ill-posed problems
- Numerical differentiation from a viewpoint of regularization theory
- Introduction to Derivative-Free Optimization
- Advanced Differential Quadrature Methods
- Computational Methods for Integral Equations
- Numerical Differentiation of Analytic Functions
- Using Complex Variables to Estimate Derivatives of Real Functions
- Fast multiscale regularization methods for high-order numerical differentiation
- The complex-step derivative approximation
- Numerical Differentiation of Analytic Functions
- A New Method for Generating Power Series Expansions of Functions
- Linear integral equations
