Fast Switch and Spline Function Inversion Algorithm with Multistep Optimization and k-Vector Search for Solving Kepler’s Equation in Celestial Mechanics
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- Kansal, Munish & Kanwar, V. & Bhatia, Saurabh, 2015. "New modifications of Hansen–Patrick’s family with optimal fourth and eighth orders of convergence," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 507-519.
- Sharifi, Somayeh & Salimi, Mehdi & Siegmund, Stefan & Lotfi, Taher, 2016. "A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 119(C), pages 69-90.
- Arnas, David & Mortari, Daniele, 2018. "Nonlinear function inversion using k-vector," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 754-768.
- Sharma, Janak Raj & Arora, Himani, 2016. "A new family of optimal eighth order methods with dynamics for nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 924-933.
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Keywords
algorithm for inverse function; orbital mechanics; astrodynamics; cubic spline interpolation; nonlinear equations; numerical simulation; cutting-edge applications;All these keywords.
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