Recent papers citing the toolbox:
- Ryonosuke Koda, Yasutaka Hanada, and Akira Shudo, Ergodicity of complex dynamics and quantum tunneling in nonintegrable systems. Phys. Rev. E 108, 054219, November 21, 2023.
- N. Higham, The Power of Bidiagonal Matrices. November 6, 2023. This paper is based on the Hans Schneider Prize talk given at the 25th International Linear Algebra Society (ILAS), Conference, Madrid, June 12–16, 2023.
- S. Kuznetsov, Resonance phenomena in layered media: merging proper and quasi-resonances. Z. Angew. Math. Phys. 74, 245 (2023).
- Li S, Chen Y-Z, Cheng Z, Peng J. The role of soluble surfactant in the linear instability of a film coating inside a tube. Journal of Fluid Mechanics, Volume 973, 25 October 2023.
- Bengt Fornberg, Andrew Lawrence, Enhanced trapezoidal rule for discontinuous functions, Journal of Computational Physics Volume 491, 15 October 2023.
- Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk, Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation, arXiv:2310.00955, October 2, 2023.
- Xiaoqiang Yue, Zhiyong Wang, and Shu-Lin Wu, Convergence Analysis of a Mixed Precision Parareal Algorithm, SIAM Journal on Scientific Computing 2023 45:5, A2483-A2510.
- Sharan, S., Eapen, R., Singla, P. et al. Accurate Uncertainty Characterization of Impulsive Thrust Maneuvers in the Restricted Three Body Problem. J Astronaut Sci 70, 35 (2023).
- Dario A. Bini, Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis, arXiv:2307.12009, September 6, 2023.
- Xiaoqing Han, Wenlin Tang, Xiaodong Peng, Zhen Yang, A new window function for the spectral analysis of effect of celestial body on Taiji mission below 0.1 mHz, Advances in Space Research, Volume 72, Issue 9, 1 November 2023, Pages 4082-4092.
- M. Leandro and J. K. Nøland, Analytical PM Eddy Currents Loss Evaluations in Inverter-Fed Slotless Machines Induced by SVM Control Using Polar Coordinates Formulations, IEEE Transactions on Energy Conversion, 12 July 2023.
- Noaman Khan, Erin Carson, Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning, arXiv:2307.03914, July 8, 2023.
- M. Kalfa, Ö. Ergül and V. B. Ertürk, Multiple-Precision Arithmetic Implementation of the Multilevel Fast Multipole Algorithm, IEEE Transactions on Antennas and Propagation, July 7, 2023.
- Bartosz Protas, On the Linear Stability of the Lamb-Chaplygin Dipole, arXiv:2307.03159, July 6, 2023.
- José M. Alonso, J. Ibáñez, E. Defez, P. Alonso-Jordá, Euler polynomials for the matrix exponential approximation, Journal of Computational and Applied Mathematics, Volume 425, June 2023.
- William C. Bauldry, Numerical Integration., June 22, 2023.
- Foivos Alimisis, Yousef Saad, Bart Vandereycken, Gradient-type subspace iteration methods for the symmetric eigenvalue problem, arXiv:2306.10379, June 17, 2023.
- Eda Oktay, Erin Carson, Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems, arXiv:2305.19028, May 30, 2023.
- Sansò, F., Bucha, B. Change of boundary: towards a mathematical foundation of global gravity models, J Geod 97, 63 (2023), 8 May 2023.
- Malgorzata A. Jankowska, Andreas Karageorghis, C.S. Chen, Kansa–RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions, Mathematics and Computers in Simulation, Volume 206, April 2023, Pages 77-104.
- S. Kuznetsov, Detection of a Hidden Sandy Layer in a Stratified Substrate by Dispersion Analysis., Mechanics of High-Contrast Elastic Solids: Contributions from Euromech, Chapter 8.
- Yuki Uchino, Katsuhisa Ozaki, Takeshi Terao, Inclusion Methods for Multiplication of Three Point Matrices, Journal of Advanced Simulation in Science and Engineering 10 (1), 83-101, 2023.
- Erin Carson, Ieva Daužickaitė, The stability of split-preconditioned FGMRES in four precisions, arXiv:2303.11901, March 21, 2023.
- Jinfeng Zhou, Xian-Ming Gu, Yong-Liang Zhao, Hu Li, A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black-Scholes model, arXiv:2303.10592, March 19, 2023.
- S. Chan and P. Nopphawan, Bespoke Mitigation Framework for False Data Injection Attack-Induced Contingency Events, International Conference On Cyber Management And Engineering (CyMaEn), Bangkok, Thailand, 2023, pp. 492-499
- Jan Verschelde, GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision, arXiv:2301.12659, January 30, 2023.
- Riku Iijima, Ryonosuke Koda, Yasutaka Hanada, and Akira Shudo, Quantum tunneling in ultra-near-integrable systems, Phys. Rev. E 106, December 13, 2022.
- Charles F. F. Karney, On auxiliary latitudes, arXiv:2212.05818, December 12, 2022.
- Dana Černá, Kateřina Fiňková, Option Pricing under Multifactor Black-Scholes Model Using Orthogonal Spline Wavelets, arXiv:2211.13890, November 25, 2022.
- Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang, Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems, arXiv:2211.10599, November 19, 2022.
- Xiaoqing Han, Xiaodong Peng, Wenlin Tang, Zhen Yang, Xiaoshan Ma, Chen Gao, Li-e Qiang, Yuzhu Zhang, Mengyuan Zhao, Jiafeng Zhang, and Binbin Liu, Effect of celestial body gravity on Taiji mission range and range acceleration noise, Phys. Rev. D 106, November 18, 2022.
- Zhiyuan Zhang, Zheng-Jian Bai, A mixed precision Jacobi method for the symmetric eigenvalue problem, arXiv:2211.03339, November 7, 2022.
- Erin Carson, Jörg Liesen, Zdeněk Strakoš, Solving linear algebraic equations with Krylov subspace methods is still interesting!, arXiv:2211.00953, November 2, 2022.
- Awad Al-Mohy, Conditioning of Matrix Functions of Quasi-triangular Matrices, November 1, 2022.
- Eda Oktay, Erin Carson, Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt, arXiv:2210.08839, October 17, 2022.
- I. Hristov, R. Hristova, I. Puzynin, T. Puzynina, Z. Sharipov, Z. Tukhliev, A database of high precision trivial choreographies for the planar three-body problem, arXiv:2210.00594, October 2, 2022.
- Filip Marković; Thomas Nolte; Alessandro Vittorio Papadopoulos, Analytical Approximations in Probabilistic Analysis of Real-Time Systems, 2022 IEEE Real-Time Systems Symposium (RTSS), Houston, TX, USA, 2022, pp. 158-171.
- Bengt Fornberg, Infinite order accuracy limit of finite difference formulas in the complex plane, September 13, 2022.
- Xin Liu, Qinglin Tang, Shaobo Zhang, Yong Zhang, On optimal zero-padding of kernel truncation method, arXiv:2209.12180, September 25, 2022.
- Davide Chiuchiu, Shrabani Mondal, Simone Pigolotti, Pareto optimal fronts of kinetic proofreading, arXiv:2208.09381, August 19, 2022.
- Yuki Uchino, Takeshi Terao, Katsuhisa Ozaki, Acceleration of iterative refinement for singular value decomposition, Numerical Algorithms (2023), August 5, 2022.
- Michiel E. Hochstenbach, Christian Mehl, Bor Plestenjak, Solving singular generalized eigenvalue problems. Part II: projection and augmentation, arXiv:2208.01359, August 2, 2022.
- Charles F. F. Karney, Geodesics on an arbitrary ellipsoid of revolution, arXiv:2208.00492, July 31, 2022.
- Xiaobo Liu, Computing Matrix Functions in Arbitrary Precision, 2022.
- Lu Su et al., Dilution-induced gel-sol-gel-sol transitions by competitive supramolecular pathways in water, Science 377, 213-218(2022).
- Liang Zhang, Zexu Zhang, Roland Siegwart, Jen Jen Chung, Probabilistic network topology prediction for active planning: An adaptive algorithm and application, arXiv:2206.13132, June 27, 2022.
- Samuel J. Ryskamp, Mark A. Hoefer, Computation of High Frequency Magnetoelastic Waves in Layered Materials, arXiv:2206.05212, June 10, 2022.
- Erin Carson, Ieva Daužickaitė, Single-pass Nyström approximation in mixed precision, arXiv:2205.13355, May 26, 2022.
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