by Pavel Holoborodko on May 12, 2022

Recent papers citing the toolbox (*updating*):

- Jon Vegard Venås, Trond Jenserud,
*Generalization and stabilization of exact scattering solutions for spherical symmetric scatterers*, arXiv:2204.05761, April 7, 2022. - Zvonimir Bujanović, Daniel Kressner, Christian Schröder,
*Iterative Refinement of Schur decompositions*, arXiv:2203.10879, March 21, 2022. - Michael Kapralos,
*Taylor polynomials as an estimator for certain toeplitz matrices*, The Journal of Supercomputing (2022), March 16, 2022. - D.A. Bini, B. Iannazzo, B. Meini, J. Meng, L. Robol,
*Computing eigenvalues of semi-infinite quasi-Toeplitz matrices*, arXiv:2203.06484, April 1, 2022. - Konstantin Isupov,
*Multiple-precision sparse matrix–vector multiplication on GPUs*, Journal of Computational Science, Volume 61, May 2022. - Erin Carson, Noaman Khan,
*Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning*, arXiv:2202.10204, February 21, 2022. - Evgeny V. Polyachenko, Ilia G. Shukhman, Olga I. Borodina,
*Damped perturbations in stellar systems: Genuine modes and Landau-damped waves*, arXiv:2101.08287, April 17, 2021. - Karimaghaei, Mina,
*A Novel Boundary Integral Formulation for Quantum Energy Eigenvalue Analysis and Its Application in a Model-Based Systems Engineering Framework for Quantum Systems Development*, PhD Dissertation, University of South Alabama, May 2022.

Previous issues: digest v.18, digest v.17, digest v.16, digest v.15, digest v.14, digest v.13, digest v.12, digest v.11, digest v.10, digest v.9, digest v.8, digest v.7, digest v.6, digest v.5, digest v.4, digest v.3 and digest v.2.

by Pavel Holoborodko on February 13, 2022

Recent papers citing the toolbox:

- Patryk Mach, Andrzej Odrzywolek,
*Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Low-temperature limit and numerical aspects*,
Acta Phys. Pol. B Proc. Suppl. 15, 1-A7 (2022), arXiv:2202.02173, February 4, 2022. - Sergey V. Kuznetsov,
*Anomalous dispersion of Lamb waves in Ge cubic crystal*,
Waves in Random and Complex Media, January 31, 2022. - Eda Oktay, Erin Carson,
*Mixed Precision GMRES-based Iterative Refinement with Recycling*,
arXiv:2201.09827, January 24, 2022. - Miao-jung Yvonne Ou, Petr Plecháč, Jiangming Xie,
*On the time-domain full waveform inversion for time-dissipative and dispersive poroelastic media*,
arXiv:2201.08414, January 20, 2022. - Qinglin Tang, Manting Xie, Yong Zhang, Yuqing Zhang,
*A Spectrally Accurate Numerical Method for Computing the Bogoliubov–de Gennes Excitations of Dipolar Bose–Einstein Condensates*,
SIAM J. Sci. Comput., 44(1), B100–B121., January 18, 2022. - Bernardo Cockburn, Shiqiang Xia,
*An adjoint-based super-convergent Galerkin approximation of eigenvalues*,
Journal of Computational Physics, Volume 449, 2022, 110816, January 15, 2022. - M. Fasi, N.J. Higham, X. Liu,
*Computing the square root of a low-rank perturbation of the scaled identity matrix*,
MIMS Preprint, January 13, 2022. - Oana Marin, Christopher Geoga, Michel Schanen,
*On automatic differentiation for the Matérn covariance*,
arXiv:2201.00262, January 1, 2022. - Alwyn Young,
*Nearly Collinear Regressors and the Replicability and Robustness of 2SLS Results*,
London School of Economics, December 2021. - N.J. Higham, T. Mary,
*Mixed Precision Algorithms in Numerical Linear Algebra*,
MIMS Preprint, December 29, 2021. - Menghan Wu, Haiyong Wang,
*Gaussian quadrature rules for composite highly oscillatory integrals*,
arXiv:2112.14060, December 28, 2021. - Paola Boito, Yuli Eidelman, Luca Gemignani,
*Computing the reciprocal of a ϕ-function by rational approximation*,
Adv Comput Math 48, 1 (2022), December 22, 2021. - Sergey V. Kuznetsov,
*Guided waves in stratified media: Observing multiple Sezawa modes*,
Mechanics of Advanced Materials and Structures, December 21, 2021. - Sergey V. Kuznetsov,
*Guided waves in periodically stratified plates: Deficiency of homogenizations*,
Composite Structures, Volume 276, November 15, 2021. - M. Karimaghaei, A.-V. Phan,
*Boundary integral formulation of the standard eigenvalue problem for the 2-D Helmholtz equation*,
Engineering Analysis with Boundary Elements, Volume 132, 2021, Pages 281-288, November 1, 2021. - Bengt Fornberg,
*Finite difference formulas in the complex plane*,
University of Colorado, October 25, 2021. - Arthur Bizzi, Eugênio L. Fortaleza, Tomé S.N. Guenka,
*Dynamics of heavy beams: Closed-form vibrations of gravity-loaded Rayleigh–Timoshenko columns*,
Journal of Sound and Vibration, Volume 510, October 13, 2021. - Y. Liu and O. Marin,
*Special function neural network (SFNN) models*,
2021 IEEE International Conference on Cluster Computing (CLUSTER), 2021, pp. 680-685, October 13, 2021. - A.-V. Phan, M. Karimaghaei,
*A standard energy eigenvalue problem for directly solving the stationary states of quantum billiards via boundary integral analysis,*,
Forces in Mechanics, Volume 4, October 5, 2021. - Q. Tang, M. Xie, Y. Zhang, Y. Zhang,
*A spectrally accurate numerical method for computing the rwa excitations of dipolar bose-einstein condensates*,
September 25, 2021. - A. Al-Mohy, N.J. Higham, X. Liu,
*Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative*,
MIMS Preprint, August 16, 2021. - James Demmel, Jack Dongarra, Mark Gates, Greg Henry, Xiaoye Li, Jason Riedy, Weslley Pereira, Julien Langou, Piotr Luszczek,
*Proposed Consistent Exception Handling for the BLAS and LAPACK*,
August 12, 2021. - Hong Chen, Ee Hou Yong,
*How zealots affect the energy cost for controlling complex social networks*,
arXiv:2107.11744, July 25, 2021. - Dean Wang, Tseelmaa Byambaakhuu,
*A New Proof of the Asymptotic Diffusion Limit of the SN Neutron Transport Equation*,
Nuclear Science and Engineering, 195:12, 1347-1358, July 22, 2021. - Dylan Abrahamsen, Bengt Fornberg,
*Solving the Korteweg-de Vries equation with Hermite-based finite differences*,
Applied Mathematics and Computation, Volume 401, July 15, 2021. - Eda Oktay, Erin Carson,
*Multistage Mixed Precision Iterative Refinement*,
arXiv:2107.06200, July 13, 2021. - E.J. Kansa, V. Skala, P. Holoborodko,
*Extremely accurate solutions using block decomposition and extended precision for solving very ill-conditioned equations*,
July 11, 2021. - Dylan Abrahamsen, Bengt Fornberg,
*On the Infinite Order Limit of Hermite-based Finite Difference Schemes*,
SIAM J. Numer. Anal., 59(4), 1857–1874, July 1, 2021. - Jeremy Orosco, James Friend,
*Unveiling the Burgers-Riccati physics of fast acoustic streaming*,
arXiv:2107.00169, July 1, 2021. - Jeremy Orosco, James Friend,
*Unraveling the complex dynamics of acoustofluidics*,
arXiv:2107.00172, July 1, 2021. - Sergey V. Kuznetsov,
*Dispersion of guided waves in stratified medium with a sandy layer*,
Waves in Random and Complex Media, June 24, 2021. - F. Marković, A.V. Papadopoulos, T. Nolte,
*On the convolution efficiency for probabilistic analysis of real-time systems*,
33rd Euromicro Conference on Real-Time Systems, ECRTS 2021, July 5, 2021. - Xianshun Ming, Liqun Sun,
*Simple reformulation of the coordinate transformation method for gratings with a vertical facet or overhanging profile*,
Appl. Opt. 60, 4305-4314. May 13, 2021. - Ozan, S. C., Gérard Labrosse, and A. K. Uguz,
*A Model of Synovial Fluid with a Hyaluronic Acid Source: A Numerical Challenge*,
Fluids. 2021; 6(4):152, April 9, 2021. - Elwin van ‘t Wout and Christopher Feuillade,
*Proximity resonances of water-entrained air bubbles near acoustically reflecting boundaries*,
The Journal of the Acoustical Society of America 149, 2477-2491, April 8, 2021. - M. Kalfa, V. B. Ertürk and Ö. Ergül,
*Error Analysis of MLFMA With Closed-Form Expressions*,
IEEE Transactions on Antennas and Propagation, vol. 69, no. 10, pp. 6618-6623, April 6, 2021. - Natalie Klco, Martin J. Savage,
*Entanglement Spheres and a UV-IR connection in Effective Field Theories*,
arXiv:2103.14999, March 27, 2021. - Sergey V. Kuznetsov,
*On disappearing Stoneley waves in functionally graded plates*,
Int J Mech Mater Des 17, 855–862, March 23, 2021. - Erin Carson, Tomáš Gergelits,
*Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms*,
arXiv:2103.09210, March 16, 2021.

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by Pavel Holoborodko on January 13, 2021

Recent papers citing the toolbox:

- Craciunescu, T., Murari, A.,
*Detecting causal relations in time series with the new cross Markov Matrix technique*, Nonlinear Dynamics (2021), January 13, 2020. - Hong Chen, Ee Hou Yong,
*Reconstructing Stieltjes functions from their approximate values: a search for a needle in a hay stack*, arXiv:2101.03828, January 12, 2020. - Breton, L., González-Casanova, P. & Montoya, C.,
*RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems*, Computational and Applied Mathematics 40-15 (2021), January 8, 2021. - Yury Grabovsky,
*Reconstructing Stieltjes functions from their approximate values: a search for a needle in a hay stack*, arXiv:2101.02775, January 7, 2020. - Rick Hubertus Sijbrandus Budé and Dirk Van Eester and Jan van Dijk and Roger J E Jaspers and A. B. Smolders,
*Accelerating simulations of electromagnetic waves in hot, magnetized fusion plasmas*, Plasma Physics and Controlled Fusion, December 22, 2020. - Gengyu Xu, George V. Eleftheriades, and Sean V. Hum,
*Approach to the analysis and synthesis of cylindrical metasurfaces with noncircular cross sections based on conformal transformations*, Physical Review B 102, December 22, 2020. - Bucha, B., Kuhn, M. A,
*A numerical study on the integration radius separating convergent and divergent spherical harmonic series of topography-implied gravity*, Journal of Geodesy, 94, November 2020. - Reuben Rauch, Manfred R.Trummer, J.F.Williams,
*A spectral collocation method for mixed functional differential equations*, Applied Numerical Mathematics Volume 161, March 2021, Pages 101-110. - F.Fantoni, L.Morini, A.Bacigalupo, M.Paggi,
*The generalized Floquet-Bloch spectrum for periodic thermodiffusive layered materials*, International Journal of Mechanical Sciences, November 5, 2020. - H. Betar, D. Del Sarto, M. Ottaviani and A. Ghizzo,
*Multiparametric study of tearing modes in thin current sheets*, Physics of Plasmas 27, October 14, 2020. - Pavel M. Lushnikov, Denis A. Silantyev, Michael Siegel,
*Collapse vs. blow up and global existence in the generalized Constantin-Lax-Majda equation*, arXiv:2010.01201, October 2, 2020.

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by Pavel Holoborodko on October 9, 2020

Recent papers citing the toolbox:

- Bengt Fornberg,
*Euler–Maclaurin expansions without analytic derivatives*, University of Colorado, September 30, 2020. - Hongbin Chen, Changtao Sheng, Li-Lian Wang,
*On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes*, arXiv:2009.04886, September 10, 2020. - Xiangming Xiong, Jianjun Tao,
*Linear stability and energy stability of plane Poiseuille flow with isotropic and anisotropic slip boundary conditions*, Physics of Fluids, Volume 32, Issue 9, September 8, 2020. - Nicholas Higham and Xiaobo Liu,
*A Multiprecision Derivative-Free Schur–Parlett Algorithm for Computing Matrix Functions*, MIMS Preprint, September 7, 2020. - Richard S. Falk, Roger D. Nussbaum,
*Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods*, arXiv:2008.11150, August 25, 2020. - Natalie Klco, Martin J. Savage,
*Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation*, arXiv:2008.03647, August 9, 2020. - Ilya Tyuryukanov, Marjan Popov,
*D-Decomposition Based Robust Discrete-Time Current Regulator for Grid-Connected VSI*, IEEE, July 30, 2020. - Bengt Fornberg,
*Generalizing the trapezoidal rule in the complex plane*, Numerical Algorithms, July 21, 2020. - Bengt Fornberg,
*Contour integrals of analytic functions given on a grid in the complex plane*, IMA Journal of Numerical Analysis, July 20, 2020. - Zeyu Liao, Ken Hayami, Keiichi Morikuni, Jun-Feng Yin,
*A Stabilized GMRES Method for Solving Underdetermined Least Squares Problems*, arXiv:2007.10853, July 19, 2020. - Rasmus Tamstorf, Joseph Benzaken, Stephen F. McCormick,
*Discretization-error-accurate mixed-precision multigrid solvers*, arXiv:2007.06628, July 13, 2020. - Mayeul Arminjon,
*An analytical model for the Maxwell radiation field in an axially symmetric galaxy*, July 2, 2020. - Yasuo Tsushima, Koji Hasegawa,
*Computing Group Velocities and Group-Velocity Dispersions of Optical Fibers Through Automatic Differentiation of Explicit Forms of Propagation Constants*, Journal of Lightwave Technology, Volume: 38, Issue: 21, June 24, 2020. - Elisabet Edvardsson, Flore K. Kunst, Tsuneya Yoshida, Emil J. Bergholtz,
*Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems*, arXiv:2006.12898, June 23, 2020. - Ning Cai, Xuewei Yang,
*A Computational Approach to First Passage Problems of Reflected Hyperexponential Jump Diffusion Processes*, June 22, 2020. - K.Maes, M.N.Chatzis, R.Vandebril, G.Lombaert,
*Observability of modally reduced order models with unknown parameters*, Mechanical Systems and Signal Processing, Volume 146, January 1, 2021. - Josephine Dufitinema, Seppo Pynnönen and Tommi Sottinen,
*Maximum likelihood estimators from discrete data modeled by mixed fractional Brownian motion with application to the Nordic stock markets*, Communications in Statistics – Simulation and Computation, May 30, 2020. - Massimiliano Fasi and Bruno Iannazzo,
*The dual inverse scaling and squaring algorithm for the matrix logarithm*, MIMS Preprint, May 27, 2020. - S.M. Rump,
*On recurrences converging to the wrong limit in finite precision and some new examples*, Electronic Transactions on Numerical Analysis (ETNA), 52:358–369, 2020. - Abhinav Dronamraju, Songyan Li, Qirui Li, Yuting Li, Daniel Tylavsky, Di Shi, Zhiwei Wang,
*Implications of Stahl’s Theorems to Holomorphic Embedding Pt. 2: Numerical Convergence*, arXiv:2003.07457, March 18, 2020. - Xihong Xu and Lifeng Li,
*Numerical instability of the C method when applied to coated gratings and methods to avoid it*, Journal of the Optical Society of America. A, Optics, Image Science, and Vision, April 1, 2020, 37(4):511-520. - Dylan Abrahamsen,
*Space-Time Evolution with Radial Basis Functions and Hermite-Based Finite Difference Methods*, University of Colorado at Boulder, 2020.

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by Pavel Holoborodko on February 8, 2020

Recent papers citing the toolbox:

- (Book) Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh,
*Numerical Methods for Diffusion Phenomena in Building Physics*, Springer, ISBN: 978-3-030-31573-3. - Nicholas Higham and Srikara Pranesh,
*Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems*, MIMS Preprint, November 6, 2019. - Nicholas Higham and Théo Mary,
*A New Approach to Probabilistic Rounding Error Analysis*, SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2019. - Nicholas Higham and Théo Mary,
* A New Preconditioner that Exploits Low-Rank Approximations
to Factorization Error*, SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2019. - Massimiliano Fasi,
*Computing matrix functions in arbitrary precision arithmetic*, PhD Thesis, August 1, 2019. - Takeshi Terao, Katsuhisa Ozaki, Takeshi Ogita,
*LU-Cholesky QR algorithms for thin QR decomposition*, Parallel Computing, Volume 92, April 2020. - Takeshi Ogita, Kensuke Aishima,
*Iterative refinement for singular value decomposition based on matrix multiplication*Journal of Computational and Applied Mathematics, Volume 369, 1 May 2020. - Abe C. Ellison, Bengt Fornberg,
*A parallel-in-time approach for wave-type PDEs*, arXiv:1907.11771, July 26, 2019. - Grady B. Wright, Bengt Fornberg,
*Stable computations with flat radial basis functions using vector-valued rational approximations*J. Comput. Physics 331: 137-156 (2017) - Gnecco, G., Nutarelli, F.,
*On the trade-off between number of examples and precision of supervision in machine learning problems*Optimization Letters, September 30, 2019. - Ch. Tsitouras and Ioannis Th. Famelis,
*Extended precision rational L∞ approximations to the matrix exponential*AIP Conference Proceedings, 2019. - (Book)Edited By: A.H.-D. Cheng, University of Mississippi, USA; A. Tadeu, University of Coimbra
*Boundary Elements and other Mesh Reduction Methods XLII*ISBN: 978-1-78466-341-4. - Jorge Cayama and Carlota M. Cuesta and Francisco de la Hoz,
*Numerical Approximation of the Fractional Laplacian on R Using Orthogonal Families*, arXiv:2001.08825, January 23, 2020. - Qiang Xi, C.S.Chen, Zhuojia Fu, Eva Comino
*The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations*, Computers & Mathematics with Applications, Elsevier, December 6, 2019. - E. G. Charalampidis, N. Boullé, P. E. Farrell, P. G. Kevrekidis,
*Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation*, arXiv:1912.00023, November 29, 2019. - Yiran Xu, Jingye Li, Xiaohong Chen, Guofei Pang,
*Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method*, Computers & Mathematics with Applications, Elsevier, October 29, 2019. - Myeong-Seok Go, Jae Hyuk Lim, Jin-Gyun Kim, Ki-ryoung Hwang,
*A family of Craig–Bampton methods considering residual mode compensation*, Applied Mathematics and Computation
Volume 369, October 28, 2019. - Stepčenko Artūrs,
*Forecasting System Development for Nonlinear and Nonstationary Time Series of Normalized Difference Vegetation Index*, PhD Thesis. Rīga, October 16, 2019. - Fatih Kangal, Emre Mengi,
*Nonsmooth algorithms for minimizing the largest eigenvalue with applications to inner numerical radius*, IMA Journal of Numerical Analysis, November 13, 2019. - Tersoo Luga and Bernard Alechenu,
*Numerical Solutions of Some Second Order Partial Differential
Equations using Non-Standard Exponent Values of the
Generalized Multiquadric Radial Basis Function*, IOSR Journal of Mathematics, Volume 15, Issue 3, June 2019.

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by Pavel Holoborodko on July 23, 2019

Recent papers citing the toolbox:

- B. Bucha, C. Hirt, M. Kuhn,
*Cap integration in spectral gravity forward modelling up to the full gravity tensor*, Journal of Geodesy, 2019, DOI: 10.1007/s00190-019-01277-3. - M. Berljafa, S. Elsworth, S. Güttel,
*Rational Krylov Toolbox for MATLAB 2.8*, February 25, 2019, Manchester University. - J. Wang, I. Tyuryukanov, A. Monti,
*Design of a novel robust current controller for grid-connected inverter against grid impedance variations*, International Journal of Electrical Power & Energy Systems, Volume 110, September 2019, Pages 454-466. - T. Luga, T. Aboiyar, S. Adee,
*Radial basis function methods for approximating the two-dimensional heat equation*, International Journal of Engineering Applied Sciences and Technology, 2019, Vol. 4, Issue 2, ISSN No. 2455-2143, Pages 7-15. - M. Fasi, B. Iannazzo,
*Substitution algorithms for rational matrix equations*, MIMS Preprint, May 12, 2019. - P. Maxwell, S. Ellingsen,
*Path-following methods for calculating linear surface wave dispersion relations on vertical shear flows*, arXiv:1905.03187, May 5, 2019. - Xi, Q., Fu, ZJ. & Rabczuk,
*An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load*, Computational Mechanics, Springer Berlin, April 2019. - J. Cave,
*Modelling Novel Photovoltaic Devices*, PhD thesis, September 2018.

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by Pavel Holoborodko on February 27, 2019

Recent papers citing the toolbox:

- J. Lehtonen, G. A. Parker,
*Evolution of the Two Sexes under Internal Fertilization and Alternative Evolutionary Pathways*, The American Naturalist, March 18, 2019. - T. Ogita, K. Aishima,
*Iterative refinement for symmetric eigenvalue decomposition II: clustered eigenvalues*, Japan Journal of Industrial and Applied Mathematics, February 22, 2019. - S. Elsworth, S. Güttel,
*The block rational Arnoldi method*,MIMS Preprint, February 17, 2019. - F. Mumtaz, H. Saidaoui, F.H. Alharbi,
*Efficient high order method for differential equations in unbounded domains using generalized coordinate transformation*, Journal of Computational Physics, Volume 381, 15 March 2019, Pages 275-289. - M.F. Rios, J. Calder, G. Lerman,
*Algorithms for -based semi-supervised learning on graphs*, arXiv:1901.05031, January 15, 2019. - Z.J. Fu, L.W. Yang, H.Q. Zhu, W.Z Xu,
*A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations*, Engineering Analysis with Boundary Elements, Volume 98, January 2019, Pages 137-146. - M. Fasi, B. Iannazzo,
*Computing primary solutions of equations involving primary matrix functions*, Linear Algebra and its Applications, Volume 560, January 1, 2019, Pages 17-42.

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by Pavel Holoborodko on September 24, 2018

Recent papers citing the toolbox:

- N. Higham, S. Pranesh, M. Zounon,
*Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems*, November 26, 2018. - N. Higham, M. Fasi,
*An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential*, November 24, 2018. - A. Bacigalupo, M.L. De Bellis, G. Gnecco,
*Complex frequency band structure of periodic thermo-diffusive materials by Floquet-Bloch theory*, arXiv:1811.09389, November 23, 2018. - P.G. Casanova, L. Breton, C. Montoya,
*RBFs methods for null control problems of the Stokes system with Dirichlet and Navier slip boundary conditions*, arXiv:1811.00459, November 1, 2018. - J. Idígoras, L. Contreras‐Bernal, James M. Cave, Nicola E. Courtier, Á. B. Ana Borras, Juan R. Sánchez‐Valencia, Juan A. Anta, Alison B. Walker,
*The Role of Surface Recombination on the Performance of Perovskite Solar Cells: Effect of Morphology and Crystalline Phase of TiO2 Contact*, October 8, 2018. - T. Fukaya, R. Kannan, Y. Nakatsukasa, Y. Yamamoto, Y. Yanagisawa,
*Shifted CholeskyQR for computing the QR factorization of ill-conditioned matrices*, arXiv:1809.11085, September 28, 2018. - I. Evdokimova, J. Verdú, P. de Paco,
*Bandpass Phase Correction Methodology for Ladder-Type Acoustic Filters*, 48th European Microwave Conference (EuMC), September 23-27, 2018. - B. Fornberg, J.A. Reeger,
*An improved Gregory-like method for 1-D quadrature*, Numerische Mathematik, August 16, 2018. - J.M.Linares, G.Goch, A.Forbes, J.M.Sprauel, A.Clément, F.Haertige, W.Gao,
*Modelling and traceability for computationally-intensive precision engineering and metrology*, CIRP Annals, Volume 67, Issue 2, 2018, Pages 815-838. - M. Kalfa, Ö. Ergül, V.B. Ertürk,
*Error Control of Multiple-Precision MLFMA*, IEEE Transactions on Antennas and Propagation, July 9, 2018. - W. Tian, G. Rui, D. Dong, J. Kang,
*Efficient blind adaptive Karhunen–Loéve transform via parallel search*, International Journal of Distributed Sensor Networks, Volume 14, Issue 6, June 1, 2018. - D. Lu, D. Kressner, B. Vandereycken,
*Subspace acceleration for the Crawford number computation*. - S. Fodor, Z. Németh,
*Numerical analysis of parallel implementation of the reorthogonalized ABS methods*, Central European Journal of Operations Research, 2018. - Z.J. Fu, Q. Xi, W. Chen, A.H.D. Cheng,
*A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations*, Computers & Mathematics with Applications, Volume 76, Issue 4, 15 August 2018, Pages 760-773. - M. E. Hochstenbach, C. Mehl, B. Plestenjak,
*Solving singular generalized eigenvalue problems by a rank-completing perturbation*, arXiv:1805.07657, May 19, 2018. - S. Bertoluzza, D. Prada,
*A Polygonal Discontinuous Galerkin Method with Minus One Stabilization*, arXiv:1805.04196, May 10, 2018.

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by Pavel Holoborodko on April 12, 2018

Recent papers citing the toolbox:

- T. Ogita, K. Aishima,
*Iterative refinement for symmetric eigenvalue decomposition*, Japan Journal of Industrial and Applied Mathematics, May 11, 2018. - N. Higham, M. Theo,
*A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error*, April 23, 2018. - M.J.Y. Ou, H.J. Woerdeman,
*On the augmented Biot-JKD equations with Pole-Residue representation of the dynamic tortuosity*, arXiv:1805.00335, April 28, 2018. - X. Shui, S. Wang,
*Closed-form numerical formulae for solutions of strongly nonlinear oscillators*, International Journal of Non-Linear Mechanics, Volume 103, July 2018, Pages 12–22. - B. Pan, Y. Wang, S. Tian,
*A High-Precision Single Shooting Method for Solving Hypersensitive Optimal Control Problems*, Mathematical Problems in Engineering, Volume 2018, April 15, 2018. - A. Doak, J.-M. Vanden-Broeck,
*Solution selection of axisymmetric Taylor bubbles*, Journal of Fluid Mechanics, Volume 843, May 25, 2018, pp. 518-535. - B. Bucha, C. Hirt, M. Kuhn,
*Cap integration in spectral gravity forward modelling: near- and far-zone gravity effects via Molodensky’s truncation coefficients*, Journal of Geodesy (2018), April 5, 2018. - R. Klees, D.C. Slobbe, H.H. Farahani,
*How to deal with the high condition number of the noise covariance matrix of gravity field functionals synthesised from a satellite-only global gravity field model?*, Journal of Geodesy (2018), March 23, 2018. - G. Li, L. Deng, G. Xiao, P. Tang, C. Wen, W. Hu, J. Pei, L. Shi, H. Eugene Stanley,
*Enabling Controlling Complex Networks with Local Topological Information*, Scientific Reports Volume 8, Article number: 4593 (2018), March 15, 2018. - W. Lin, Z. Wang, M. Huang, Y. Zhuang, S. Zhang,
*On structural identifiability analysis of the cascaded linear dynamic systems in isotopically non-stationary 13C labelling experiments*, Mathematical Biosciences, Volume 300, June 2018, pages 122-129. - M. Pollak, M. Shauly-Aharonov,
*A Double Recursion for Calculating Moments of the Truncated Normal Distribution and its Connection to Change Detection*, Methodology and Computing in Applied Probability (2018). - F. Mumtaz, F. Alharbi,
*Efficient Mapping of High Order Basis Sets for Unbounded Domains*, Commun. Comput. Phys., doi: 10.4208/cicp.OA-2017-0067. - N. E. Courtier, G. Richardson, J. M. Foster,
*A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells*, arXiv:1801.05737, January 17, 2018. - K. Tanaka, M. Sugihara,
*Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization*, arXiv:1801.04363, January 13, 2018. - T. Plakhotnik, J. Reichardt,
*Relation between Raman backscattering from droplets and bulk water: Effect of refractive index dispersion*, arXiv:1712.08474, December 21, 2017. - N. Higham,
*A Multiprecision World*, SIAM news, Volume 50, Issue 8, October, 2017.

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by Pavel Holoborodko on September 27, 2017

Recent papers citing the toolbox:

- E. D. Schiappacasse, C. J. Fewster, L. H. Ford,
*Vacuum Quantum Stress Tensor Fluctuations: A Diagonalization Approach*, arXiv:1711.09477, November 26, 2017. - B. Protas, T. Sakajo,
*Harnessing the Kelvin-Helmholtz Instability: Feedback Stabilization of an Inviscid Vortex Sheet*, arXiv:1711.03249, November 9, 2017. - Z. Chen, C. Hauck,
*Multiscale convergence properties for spectral approximations of a model kinetic equation*, arXiv:1710.05500, October 16, 2017. - D. Tayli, M. Capek, L. Akrou, V. Losenicky, L. Jelinek, M. Gustafsson,
*Accurate and Efficient Evaluation of Characteristic Modes*, arXiv:1709.09976, September 26, 2017. - E. Lehto, V. Shankar, G. Wright,
*A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces*, SIAM J. Sci. Comput., 39(5), A2129–A2151. - E. Onofri,
*Efficient Legendre polynomials transforms: from recurrence relations to Schoenberg’s theorem*, arXiv:1709.06082, September 17, 2017. - C. Asplund, R. Würtemberg, L. Höglund,
*Modeling tools for design of type-II superlattice photodetectors*, Infrared Physics & Technology 84 (2017) 21–27. - N. Courtier, J. Foster, S. O’Kane, A. Walker,
*Systematic derivation of a surface polarization model for planar perovskite solar cells*, August 30, 2017. - E. Carson, N. Higham,
*Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions*, July 25, 2017. - Y. Kobayashi, T. Ogita, K. Ozaki,
*Acceleration of a Preconditioning Method for Ill-Conditioned Dense Linear Systems by Use of a BLAS-based Method*, Reliable Computing Journal, Volume 25, May 31, 2017. - D. Kressner, D. Lu and B. Vandereycken,
*Subspace acceleration for the Crawford number and related eigenvalue optimization problems*, April 25, 2017. - X. Xu, L. Li,
*Numerical stability of the C method and a perturbative preconditioning technique to improve convergence*, Journal of the Optical Society of America, Vol. 34, Issue 6, pp. 881-891 (2017). - E. Carson and N. Higham,
*A New Analysis of Iterative Refinement and its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems*, March 2017.

Previous issues: digest v.9, digest v.8, digest v.7, digest v.6, digest v.5, digest v.4, digest v.3 and digest v.2.