On the accuracy of the complex-step-finite-difference method
DOI10.1016/j.cam.2018.03.005zbMath1397.78023OpenAlexW2791375846WikidataQ130075946 ScholiaQ130075946MaRDI QIDQ1636782
Jochen Kamm, Zeming Su, Rafael dos Reis Abreu, Jing-Huai Gao
Publication date: 12 June 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.005
Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Waves and radiation in optics and electromagnetic theory (78A40) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)
Uses Software
Cites Work
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- Complex variable step method for sensitivity analysis of effective properties in multi-field micromechanics
- Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis
- A nonmonotone line search method for noisy minimization
- The complex step approximation to the Fréchet derivative of a matrix function
- Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus
- Extensions of the first and second complex-step derivative approximations
- On the extension of the complex-step derivative technique to pseudospectral algorithms
- Computationally efficient, numerically exact design space derivatives via the complex Taylor's series expansion method
- On the generalization of the complex step method
- The fractional complex step method
- Finite element method in incompressible, adiabatic and compressible flows. From fundamental concepts to applications
- Complex-step derivative approximation in noisy environment
- Numerical tools for geoscience computations: semiautomatic differentiation-SD
- The numerical approximation of a delta function with application to level set methods
- Nonlinear robust performance analysis using complex-step gradient approximation
- Using Multicomplex Variables for Automatic Computation of High-Order Derivatives
- Using Complex Variables to Estimate Derivatives of Real Functions
- The Finite-Difference Modelling of Earthquake Motions
- A simple automatic derivative evaluation program
- The complex-step derivative approximation
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