Novikov, Alexander; Rakhuba, Maxim; Oseledets, Ivan Automatic differentiation for Riemannian optimization on low-rank matrix and tensor-train manifolds. (English) Zbl 07566191 SIAM J. Sci. Comput. 44, No. 2, A843-A869 (2022). MSC: 65K05 15A69 53B21 PDF BibTeX XML Cite \textit{A. Novikov} et al., SIAM J. Sci. Comput. 44, No. 2, A843--A869 (2022; Zbl 07566191) Full Text: DOI OpenURL
Huot, Mathieu; Staton, Sam; Vákár, Matthijs Higher order automatic differentiation of higher order functions. (English) Zbl 07566054 Log. Methods Comput. Sci. 18, No. 1, Paper No. 41, 34 p. (2022). MSC: 03B70 68-XX PDF BibTeX XML Cite \textit{M. Huot} et al., Log. Methods Comput. Sci. 18, No. 1, Paper No. 41, 34 p. (2022; Zbl 07566054) Full Text: arXiv Link OpenURL
Goloubentsev, Dmitri; Lakshtanov, Evgeny Automatic adjoint differentiation for gradient descent and model calibration. (English) Zbl 07558070 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040004, 6 p. (2022). MSC: 68N19 68Q17 65Y05 68W10 PDF BibTeX XML Cite \textit{D. Goloubentsev} and \textit{E. Lakshtanov}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040004, 6 p. (2022; Zbl 07558070) Full Text: DOI OpenURL
Xu, Kailai; Zhu, Weiqiang; Darve, Eric Learning generative neural networks with physics knowledge. (English) Zbl 07546266 Res. Math. Sci. 9, No. 2, Paper No. 33, 19 p. (2022). MSC: 68T07 35R30 60H30 60H35 68T30 PDF BibTeX XML Cite \textit{K. Xu} et al., Res. Math. Sci. 9, No. 2, Paper No. 33, 19 p. (2022; Zbl 07546266) Full Text: DOI OpenURL
Evtushenko, Yury; Zubov, Vladimir; Albu, Alla Inverse coefficient problems and fast automatic differentiation. (English) Zbl 07537023 J. Inverse Ill-Posed Probl. 30, No. 3, 447-460 (2022). MSC: 80A23 80A19 35K05 80M50 65M32 49J20 49S05 35R30 PDF BibTeX XML Cite \textit{Y. Evtushenko} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 447--460 (2022; Zbl 07537023) Full Text: DOI OpenURL
Chiu, Pao-Hsiung; Wong, Jian Cheng; Ooi, Chinchun; Dao, My Ha; Ong, Yew-Soon CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method. (English) Zbl 07532555 Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{P.-H. Chiu} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114909, 24 p. (2022; Zbl 07532555) Full Text: DOI OpenURL
Hückelheim, Jan; Hascoët, Laurent Source-to-source automatic differentiation of OpenMP parallel loops. (English) Zbl 07500132 ACM Trans. Math. Softw. 48, No. 1, Article No. 7, 32 p. (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{J. Hückelheim} and \textit{L. Hascoët}, ACM Trans. Math. Softw. 48, No. 1, Article No. 7, 32 p. (2022; Zbl 07500132) Full Text: DOI OpenURL
Fries, Christian P. Stochastic algorithmic differentiation of (expectations of) discontinuous functions (indicator functions). (English) Zbl 07494120 Int. J. Comput. Math. 99, No. 2, 204-226 (2022). MSC: 65C05 65D25 PDF BibTeX XML Cite \textit{C. P. Fries}, Int. J. Comput. Math. 99, No. 2, 204--226 (2022; Zbl 07494120) Full Text: DOI arXiv OpenURL
Blühdorn, Johannes; Gauger, Nicolas R.; Kabel, Matthias AutoMat: automatic differentiation for generalized standard materials on GPUs. (English) Zbl 07492686 Comput. Mech. 69, No. 2, 589-613 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{J. Blühdorn} et al., Comput. Mech. 69, No. 2, 589--613 (2022; Zbl 07492686) Full Text: DOI arXiv OpenURL
López-Blázquez, Fernando; Salamanca-Miño, Begoña Automatic differentiation and maximal correlation of order statistics from discrete parents. (English) Zbl 07524052 Comput. Stat. 36, No. 4, 2889-2915 (2021). MSC: 65C60 PDF BibTeX XML Cite \textit{F. López-Blázquez} and \textit{B. Salamanca-Miño}, Comput. Stat. 36, No. 4, 2889--2915 (2021; Zbl 07524052) Full Text: DOI OpenURL
Ishii, Hiromi Automatic differentiation with higher infinitesimals, or computational smooth infinitesimal analysis in Weil algebra. (English) Zbl 07497955 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 174-191 (2021). MSC: 68W30 PDF BibTeX XML Cite \textit{H. Ishii}, Lect. Notes Comput. Sci. 12865, 174--191 (2021; Zbl 07497955) Full Text: DOI OpenURL
Albu, A. F.; Evtushenko, Yu. G.; Zubov, V. I. On one approach to the numerical solution of a coefficient inverse problem. (English. Russian original) Zbl 07427868 Dokl. Math. 104, No. 1, 208-211 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 58-62 (2021). MSC: 65Mxx 35Rxx 80Axx PDF BibTeX XML Cite \textit{A. F. Albu} et al., Dokl. Math. 104, No. 1, 208--211 (2021; Zbl 07427868); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 58--62 (2021) Full Text: DOI OpenURL
Zhang, Zeyu; Li, Yu; Zhou, Weien; Chen, Xiaoqian; Yao, Wen; Zhao, Yong TONR: an exploration for a novel way combining neural network with topology optimization. (English) Zbl 07427324 Comput. Methods Appl. Mech. Eng. 386, Article ID 114083, 35 p. (2021). MSC: 74-XX 90-XX PDF BibTeX XML Cite \textit{Z. Zhang} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114083, 35 p. (2021; Zbl 07427324) Full Text: DOI OpenURL
López, Jorge; Anitescu, Cosmin; Rabczuk, Timon Isogeometric structural shape optimization using automatic sensitivity analysis. (English) Zbl 1481.74631 Appl. Math. Modelling 89, Part 2, 1004-1024 (2021). MSC: 74P20 74S22 49Q10 49Q12 PDF BibTeX XML Cite \textit{J. López} et al., Appl. Math. Modelling 89, Part 2, 1004--1024 (2021; Zbl 1481.74631) Full Text: DOI OpenURL
Xu, Kailai; Darve, Eric Solving inverse problems in stochastic models using deep neural networks and adversarial training. (English) Zbl 07415268 Comput. Methods Appl. Mech. Eng. 384, Article ID 113976, 25 p. (2021). MSC: 62-XX 82-XX PDF BibTeX XML Cite \textit{K. Xu} and \textit{E. Darve}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113976, 25 p. (2021; Zbl 07415268) Full Text: DOI OpenURL
Oberbichler, T.; Wüchner, R.; Bletzinger, K.-U. Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation. (English) Zbl 07414344 Comput. Methods Appl. Mech. Eng. 381, Article ID 113817, 35 p. (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{T. Oberbichler} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113817, 35 p. (2021; Zbl 07414344) Full Text: DOI OpenURL
Vákár, Matthijs Reverse AD at higher types: pure, principled and denotationally correct. (English) Zbl 1473.68058 Yoshida, Nobuko (ed.), Programming languages and systems. 30th European symposium on programming, ESOP 2021, held as part of the European joint conferences on theory and practice of software, ETAPS 2021, Luxembourg City, Luxembourg, March 27 – April 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12648, 607-634 (2021). MSC: 68N30 65D25 68N18 68Q65 PDF BibTeX XML Cite \textit{M. Vákár}, Lect. Notes Comput. Sci. 12648, 607--634 (2021; Zbl 1473.68058) Full Text: DOI arXiv OpenURL
Estévez Schwarz, Diana; Lamour, René Projected explicit and implicit Taylor series methods for DAEs. (English) Zbl 1487.65109 Numer. Algorithms 88, No. 2, 615-646 (2021). MSC: 65L80 34A09 65K10 PDF BibTeX XML Cite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, Numer. Algorithms 88, No. 2, 615--646 (2021; Zbl 1487.65109) Full Text: DOI OpenURL
Hénot, Olivier On polynomial forms of nonlinear functional differential equations. (English) Zbl 1482.34148 J. Comput. Dyn. 8, No. 3, 307-323 (2021). Reviewer: Rodica Luca (Iaşi) MSC: 34K05 34K17 34K12 34K20 34K21 34K13 PDF BibTeX XML Cite \textit{O. Hénot}, J. Comput. Dyn. 8, No. 3, 307--323 (2021; Zbl 1482.34148) Full Text: DOI OpenURL
Lewis, Adrian S.; Tian, Tonghua The structure of conservative gradient fields. (English) Zbl 1471.49013 SIAM J. Optim. 31, No. 3, 2080-2083 (2021). MSC: 49J52 49J40 14P10 90C56 65K10 68T07 PDF BibTeX XML Cite \textit{A. S. Lewis} and \textit{T. Tian}, SIAM J. Optim. 31, No. 3, 2080--2083 (2021; Zbl 1471.49013) Full Text: DOI arXiv OpenURL
Roelfs, Martin; Dudal, David; Huybrechs, Daan Quaternionic step derivative: machine precision differentiation of holomorphic functions using complex quaternions. (English) Zbl 1472.65035 J. Comput. Appl. Math. 398, Article ID 113699, 14 p. (2021). MSC: 65E05 65D25 PDF BibTeX XML Cite \textit{M. Roelfs} et al., J. Comput. Appl. Math. 398, Article ID 113699, 14 p. (2021; Zbl 1472.65035) Full Text: DOI arXiv OpenURL
Bolte, Jérôme; Pauwels, Edouard Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning. (English) Zbl 1471.65057 Math. Program. 188, No. 1(A), 19-51 (2021). MSC: 65K10 49M27 62M45 68T05 49J53 90C06 PDF BibTeX XML Cite \textit{J. Bolte} and \textit{E. Pauwels}, Math. Program. 188, No. 1(A), 19--51 (2021; Zbl 1471.65057) Full Text: DOI arXiv Link OpenURL
Kharazmi, Ehsan; Zhang, Zhongqiang; Karniadakis, George E. M. hp-VPINNs: variational physics-informed neural networks with domain decomposition. (English) Zbl 07338008 Comput. Methods Appl. Mech. Eng. 374, Article ID 113547, 25 p. (2021). MSC: 68-XX 65-XX PDF BibTeX XML Cite \textit{E. Kharazmi} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113547, 25 p. (2021; Zbl 07338008) Full Text: DOI arXiv OpenURL
Zarth, Asher; Klemens, Fabian; Thäter, Gudrun; Krause, Mathias J. Towards shape optimisation of fluid flows using lattice Boltzmann methods and automatic differentiation. (English) Zbl 07336197 Comput. Math. Appl. 90, 46-54 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{A. Zarth} et al., Comput. Math. Appl. 90, 46--54 (2021; Zbl 07336197) Full Text: DOI OpenURL
Büsing, Henrik Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians. (English) Zbl 1453.65063 Comput. Geosci. 25, No. 1, 163-177 (2021). MSC: 65F08 65M08 65M55 76S05 76T10 PDF BibTeX XML Cite \textit{H. Büsing}, Comput. Geosci. 25, No. 1, 163--177 (2021; Zbl 1453.65063) Full Text: DOI OpenURL
Estévez Schwarz, Diana; Lamour, René InitDAE: computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python. (English) Zbl 1458.65163 J. Comput. Appl. Math. 387, Article ID 112486, 15 p. (2021). MSC: 65L80 34A09 65D25 65-04 PDF BibTeX XML Cite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, J. Comput. Appl. Math. 387, Article ID 112486, 15 p. (2021; Zbl 1458.65163) Full Text: DOI OpenURL
Tokutome, Kimiki; Yamada, Toshihiro Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization. (English) Zbl 1458.65132 Numer. Algorithms 86, No. 2, 593-635 (2021). MSC: 65M75 65C20 PDF BibTeX XML Cite \textit{K. Tokutome} and \textit{T. Yamada}, Numer. Algorithms 86, No. 2, 593--635 (2021; Zbl 1458.65132) Full Text: DOI OpenURL
Gimeno, Joan; Jorba, Àngel Using automatic differentiation to compute periodic orbits of delay differential equations. (English) Zbl 1469.65113 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4853-4867 (2020). MSC: 65L03 34K13 65F10 PDF BibTeX XML Cite \textit{J. Gimeno} and \textit{À. Jorba}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4853--4867 (2020; Zbl 1469.65113) Full Text: DOI OpenURL
Peñuñuri, F.; Peón, R.; González-Sánchez, D.; Escalante Soberanis, M. A. Dual numbers and automatic differentiation to efficiently compute velocities and accelerations. (English) Zbl 1470.65031 Acta Appl. Math. 170, 649-659 (2020). MSC: 65D25 65Z05 PDF BibTeX XML Cite \textit{F. Peñuñuri} et al., Acta Appl. Math. 170, 649--659 (2020; Zbl 1470.65031) Full Text: DOI OpenURL
Farooqi, Asma; Ahmad, Riaz; Feng, Zhenping An improved hybrid adjoint method in external aerodynamics using variational technique for the boundary integral based optimal objective function gradient. (English) Zbl 1463.65153 Numer. Math., Theory Methods Appl. 13, No. 3, 689-718 (2020). MSC: 65K10 76M30 76H05 PDF BibTeX XML Cite \textit{A. Farooqi} et al., Numer. Math., Theory Methods Appl. 13, No. 3, 689--718 (2020; Zbl 1463.65153) Full Text: DOI OpenURL
Dolgakov, I.; Pavlov, D. Landau: a language for dynamical systems with automatic differentiation. (English) Zbl 1471.65002 J. Math. Sci., New York 251, No. 3, 354-362 (2020) and Zap. Nauchn. Semin. POMI 485, 78-89 (2019). MSC: 65-04 65P10 65L04 PDF BibTeX XML Cite \textit{I. Dolgakov} and \textit{D. Pavlov}, J. Math. Sci., New York 251, No. 3, 354--362 (2020; Zbl 1471.65002) Full Text: DOI arXiv OpenURL
Herrmann, Julien; Pallez, Guillaume H-revolve: a framework for adjoint computation on synchronous hierarchical platforms. (English) Zbl 1484.65051 ACM Trans. Math. Softw. 46, No. 2, Article No. 12, 25 p. (2020). MSC: 65D99 68T07 PDF BibTeX XML Cite \textit{J. Herrmann} and \textit{G. Pallez}, ACM Trans. Math. Softw. 46, No. 2, Article No. 12, 25 p. (2020; Zbl 1484.65051) Full Text: DOI OpenURL
Jonasson, Kristjan; Sigurdsson, Sven; Yngvason, Hordur Freyr; Ragnarsson, Petur Orri; Melsted, Pall Algorithm 1005: Fortran subroutines for reverse mode algorithmic differentiation of BLAS matrix operations. (English) Zbl 1484.65357 ACM Trans. Math. Softw. 46, No. 1, Article No. 9, 20 p. (2020). MSC: 65Y15 65F99 65J99 PDF BibTeX XML Cite \textit{K. Jonasson} et al., ACM Trans. Math. Softw. 46, No. 1, Article No. 9, 20 p. (2020; Zbl 1484.65357) Full Text: DOI OpenURL
Albu, A. F.; Evtushenko, Yu. G.; Zubov, V. I. Application of the fast automatic differentiation technique for solving inverse coefficient problems. (English. Russian original) Zbl 1455.80007 Comput. Math. Math. Phys. 60, No. 1, 15-25 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18-28 (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A23 80A19 80M50 35K05 49S05 49K20 65M32 PDF BibTeX XML Cite \textit{A. F. Albu} et al., Comput. Math. Math. Phys. 60, No. 1, 15--25 (2020; Zbl 1455.80007); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18--28 (2020) Full Text: DOI OpenURL
Yeturu, Kalidas Machine learning algorithms, applications, and practices in data science. (English) Zbl 1444.62138 Rao, Arni Srinivasa (ed.) et al., Principles and methods for data science. Amsterdam: Elsevier/North Holland. Handb. Stat. 43, 81-206 (2020). MSC: 62R07 62P10 68T05 PDF BibTeX XML Cite \textit{K. Yeturu}, Handb. Stat. 43, 81--206 (2020; Zbl 1444.62138) Full Text: DOI OpenURL
Song, Xiongfeng; Xu, Wei; Hayami, Ken; Zheng, Ning Secant variable projection method for solving nonnegative separable least squares problems. (English) Zbl 1462.65074 Numer. Algorithms 85, No. 2, 737-761 (2020). MSC: 65K10 PDF BibTeX XML Cite \textit{X. Song} et al., Numer. Algorithms 85, No. 2, 737--761 (2020; Zbl 1462.65074) Full Text: DOI OpenURL
Imoto, Yusuke; Yamanaka, Naoya; Uramoto, Takeo; Tanaka, Masato; Fujikawa, Masaki; Mitsume, Naoto Fundamental theorem of matrix representations of hyper-dual numbers for computing higher-order derivatives. (English) Zbl 07246802 JSIAM Lett. 12, 29-32 (2020). MSC: 65D25 26A24 PDF BibTeX XML Cite \textit{Y. Imoto} et al., JSIAM Lett. 12, 29--32 (2020; Zbl 07246802) Full Text: DOI OpenURL
Katrutsa, Alexandr; Daulbaev, Talgat; Oseledets, Ivan Black-box learning of multigrid parameters. (English) Zbl 1440.65265 J. Comput. Appl. Math. 368, Article ID 112524, 12 p. (2020). MSC: 65N55 65N06 65K10 68T05 62L20 35J05 PDF BibTeX XML Cite \textit{A. Katrutsa} et al., J. Comput. Appl. Math. 368, Article ID 112524, 12 p. (2020; Zbl 1440.65265) Full Text: DOI OpenURL
Albu, Alla; Gorchakov, Andrei; Zubov, Vladimir On the effectiveness of the fast automatic differentiation methodology. (English) Zbl 1473.65018 Evtushenko, Yury (ed.) et al., Optimization and applications. 9th international conference, OPTIMA 2018, Petrovac, Montenegro, October 1–5, 2018. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 974, 264-276 (2019). MSC: 65D25 68W30 PDF BibTeX XML Cite \textit{A. Albu} et al., Commun. Comput. Inf. Sci. 974, 264--276 (2019; Zbl 1473.65018) Full Text: DOI OpenURL
Fraysse, François; Saurel, Richard Automatic differentiation using operator overloading (ADOO) for implicit resolution of hyperbolic single phase and two-phase flow models. (English) Zbl 1453.65049 J. Comput. Phys. 399, Article ID 108942, 25 p. (2019). MSC: 65D25 65M08 76M12 65-04 76T10 PDF BibTeX XML Cite \textit{F. Fraysse} and \textit{R. Saurel}, J. Comput. Phys. 399, Article ID 108942, 25 p. (2019; Zbl 1453.65049) Full Text: DOI arXiv OpenURL
Kepley, Shane; Mireles James, J. D. Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. (English) Zbl 1451.70033 Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 13, 55 p. (2019). MSC: 70F15 70K44 34C45 PDF BibTeX XML Cite \textit{S. Kepley} and \textit{J. D. Mireles James}, Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 13, 55 p. (2019; Zbl 1451.70033) Full Text: DOI OpenURL
Bastl, Bohumír; Brandner, Marek; Egermaier, Jiří; Horníková, Hana; Michálková, Kristýna; Turnerová, Eva Gradient-free and gradient-based methods for shape optimization of water turbine blade. (English) Zbl 1463.76026 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 15-26 (2019). Reviewer: Jan Chleboun (Praha) MSC: 76D55 76-04 76D05 90C26 65K10 65M60 PDF BibTeX XML Cite \textit{B. Bastl} et al., in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 15--26 (2019; Zbl 1463.76026) Full Text: DOI OpenURL
Eppler, Karsten; Harbrecht, Helmut; Schlenkrich, Sebastian; Walther, Andrea Computation of shape derivatives in electromagnetic shaping by algorithmic differentiation. (English) Zbl 1449.49027 J. Math. Study 52, No. 3, 227-243 (2019). MSC: 49M25 49Q10 78M15 PDF BibTeX XML Cite \textit{K. Eppler} et al., J. Math. Study 52, No. 3, 227--243 (2019; Zbl 1449.49027) Full Text: DOI OpenURL
Johansson, Fredrik Computing hypergeometric functions rigorously. (English) Zbl 1486.65026 ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019). MSC: 65D20 33F05 65G30 PDF BibTeX XML Cite \textit{F. Johansson}, ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019; Zbl 1486.65026) Full Text: DOI arXiv OpenURL
Chang, Kao-Pu; Libertini, Jessica M.; Seay, Steven Comparing gradient descent with automatic differentiation and particle swarm optimization techniques for estimating tumor blood flow parameters in contrast-enhanced imaging. (English) Zbl 07161423 J. Sci. Comput. 81, No. 3, 1567-1576 (2019). MSC: 65Dxx 65Gxx 65Kxx 65Yxx PDF BibTeX XML Cite \textit{K.-P. Chang} et al., J. Sci. Comput. 81, No. 3, 1567--1576 (2019; Zbl 07161423) Full Text: DOI OpenURL
Naveiro, Roi; Ríos Insua, David Gradient methods for solving Stackelberg games. (English) Zbl 1431.91072 Pekeč, Saša (ed.) et al., Algorithmic decision theory. 6th international conference, ADT 2019, Durham, NC, USA, October 25–27, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11834, 126-140 (2019). MSC: 91A65 91A68 PDF BibTeX XML Cite \textit{R. Naveiro} and \textit{D. Ríos Insua}, Lect. Notes Comput. Sci. 11834, 126--140 (2019; Zbl 1431.91072) Full Text: DOI arXiv OpenURL
Albu, Alla; Zubov, Vladimir Identification of the thermal conductivity coefficient in two dimension case. (English) Zbl 1431.49039 Optim. Lett. 13, No. 8, 1727-1743 (2019). MSC: 49N45 80A23 PDF BibTeX XML Cite \textit{A. Albu} and \textit{V. Zubov}, Optim. Lett. 13, No. 8, 1727--1743 (2019; Zbl 1431.49039) Full Text: DOI OpenURL
Mondelo, Josep-Maria Computing invariant manifolds for libration point missions. (English) Zbl 1428.70023 Baù, Giulio (ed.) et al., Satellite dynamics and space missions. Collected papers of the summer school “Satellite dynamics and space missions: theory and applications of celestial mechanics”, San Martino al Cimino, Viterbo, Italy, August 28 – September 2, 2017. Cham: Springer. Springer INdAM Ser. 34, 159-223 (2019). MSC: 70F10 37M99 34C45 70H33 PDF BibTeX XML Cite \textit{J.-M. Mondelo}, Springer INdAM Ser. 34, 159--223 (2019; Zbl 1428.70023) Full Text: DOI OpenURL
Kühnel, Line; Sommer, Stefan; Arnaudon, Alexis Differential geometry and stochastic dynamics with deep learning numerics. (English) Zbl 1428.58026 Appl. Math. Comput. 356, 411-437 (2019). MSC: 58J65 60-04 60J60 62H11 PDF BibTeX XML Cite \textit{L. Kühnel} et al., Appl. Math. Comput. 356, 411--437 (2019; Zbl 1428.58026) Full Text: DOI arXiv Link OpenURL
Gao, Huan; Zhang, Haibin; Tu, Kai An improved homotopy algorithm for solving eigenvalue problems. (Chinese. English summary) Zbl 1438.65062 Math. Pract. Theory 49, No. 1, 223-229 (2019). MSC: 65F15 PDF BibTeX XML Cite \textit{H. Gao} et al., Math. Pract. Theory 49, No. 1, 223--229 (2019; Zbl 1438.65062) OpenURL
Fries, Christian P. Stochastic automatic differentiation: automatic differentiation for Monte-Carlo simulations. (English) Zbl 1420.91507 Quant. Finance 19, No. 6, 1043-1059 (2019). MSC: 91G60 65C05 60H15 PDF BibTeX XML Cite \textit{C. P. Fries}, Quant. Finance 19, No. 6, 1043--1059 (2019; Zbl 1420.91507) Full Text: DOI OpenURL
Gelling, Nicholas; Schofield, Matthew R.; Barker, Richard J. R package rjmcmc: reversible jump MCMC using post-processing. (English) Zbl 1418.62083 Aust. N. Z. J. Stat. 61, No. 2, 189-212 (2019). MSC: 62-04 62F15 65C60 PDF BibTeX XML Cite \textit{N. Gelling} et al., Aust. N. Z. J. Stat. 61, No. 2, 189--212 (2019; Zbl 1418.62083) Full Text: DOI OpenURL
Caruso, Xavier; Roe, David; Vaccon, Tristan ZpL: a \(p\)-adic precision package. (English) Zbl 1467.68227 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 119-126 (2018). MSC: 68W30 11Y16 68-04 PDF BibTeX XML Cite \textit{X. Caruso} et al., in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 119--126 (2018; Zbl 1467.68227) Full Text: DOI arXiv OpenURL
Dilgen, Cetin B.; Dilgen, Sumer B.; Fuhrman, David R.; Sigmund, Ole; Lazarov, Boyan S. Topology optimization of turbulent flows. (English) Zbl 1439.74265 Comput. Methods Appl. Mech. Eng. 331, 363-393 (2018). MSC: 74P15 76F70 74F10 PDF BibTeX XML Cite \textit{C. B. Dilgen} et al., Comput. Methods Appl. Mech. Eng. 331, 363--393 (2018; Zbl 1439.74265) Full Text: DOI Link OpenURL
Albu, A. F.; Zubov, V. I. Identification of the thermal conductivity coefficient using a given surface heat flux. (English. Russian original) Zbl 1421.80008 Comput. Math. Math. Phys. 58, No. 12, 2031-2042 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112-2126 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80A20 80M50 35R30 65M32 49J20 68W30 PDF BibTeX XML Cite \textit{A. F. Albu} and \textit{V. I. Zubov}, Comput. Math. Math. Phys. 58, No. 12, 2031--2042 (2018; Zbl 1421.80008); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112--2126 (2018) Full Text: DOI OpenURL
Albu, A. F.; Zubov, V. I. Identification of thermal conductivity coefficient using a given temperature field. (English. Russian original) Zbl 1412.80002 Comput. Math. Math. Phys. 58, No. 10, 1585-1599 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A20 80A23 35K05 35R30 65M32 49J20 65D25 80M20 PDF BibTeX XML Cite \textit{A. F. Albu} and \textit{V. I. Zubov}, Comput. Math. Math. Phys. 58, No. 10, 1585--1599 (2018; Zbl 1412.80002); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018) Full Text: DOI OpenURL
Gay, David M. Revisiting expression representations for nonlinear AMPL models. (English) Zbl 1411.90321 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 4th international conference, NAO-IV, Muscat, Oman, January 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 235, 99-118 (2018). MSC: 90C30 PDF BibTeX XML Cite \textit{D. M. Gay}, Springer Proc. Math. Stat. 235, 99--118 (2018; Zbl 1411.90321) Full Text: DOI OpenURL
Giordano, Ryan; Broderick, Tamara; Jordan, Michael I. Covariances, robustness, and variational Bayes. (English) Zbl 1467.62043 J. Mach. Learn. Res. 19, Paper No. 51, 49 p. (2018). MSC: 62F15 62F35 PDF BibTeX XML Cite \textit{R. Giordano} et al., J. Mach. Learn. Res. 19, Paper No. 51, 49 p. (2018; Zbl 1467.62043) Full Text: arXiv Link OpenURL
Siskind, Jeffrey Mark; Pearlmutter, Barak A. Divide-and-conquer checkpointing for arbitrary programs with no user annotation. (English) Zbl 1455.65037 Optim. Methods Softw. 33, No. 4-6, 1288-1330 (2018); correction ibid. 36, No. 6, 1317-1318 (2021). MSC: 65D25 68N18 PDF BibTeX XML Cite \textit{J. M. Siskind} and \textit{B. A. Pearlmutter}, Optim. Methods Softw. 33, No. 4--6, 1288--1330 (2018; Zbl 1455.65037) Full Text: DOI arXiv OpenURL
Sagebaum, Max; Albring, T.; Gauger, N. R. Expression templates for primal value taping in the reverse mode of algorithmic differentiation. (English) Zbl 1401.65164 Optim. Methods Softw. 33, No. 4-6, 1207-1231 (2018). MSC: 65Y20 68N19 68N30 68Q25 PDF BibTeX XML Cite \textit{M. Sagebaum} et al., Optim. Methods Softw. 33, No. 4--6, 1207--1231 (2018; Zbl 1401.65164) Full Text: DOI OpenURL
Pascual, Valérie; Hascoët, Laurent Mixed-language automatic differentiation. (English) Zbl 1455.65036 Optim. Methods Softw. 33, No. 4-6, 1192-1206 (2018). MSC: 65D25 68W30 PDF BibTeX XML Cite \textit{V. Pascual} and \textit{L. Hascoët}, Optim. Methods Softw. 33, No. 4--6, 1192--1206 (2018; Zbl 1455.65036) Full Text: DOI Link OpenURL
Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard Piecewise linear secant approximation via algorithmic piecewise differentiation. (English) Zbl 1408.90322 Optim. Methods Softw. 33, No. 4-6, 1108-1126 (2018). MSC: 90C53 PDF BibTeX XML Cite \textit{A. Griewank} et al., Optim. Methods Softw. 33, No. 4--6, 1108--1126 (2018; Zbl 1408.90322) Full Text: DOI arXiv OpenURL
Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. (English) Zbl 1401.65070 Optim. Methods Softw. 33, No. 4-6, 1089-1107 (2018). MSC: 65L05 65L06 65L70 65L99 65P10 PDF BibTeX XML Cite \textit{A. Griewank} et al., Optim. Methods Softw. 33, No. 4--6, 1089--1107 (2018; Zbl 1401.65070) Full Text: DOI arXiv OpenURL
Barton, Paul I.; Khan, Kamil A.; Stechlinski, Peter; Watson, Harry A. J. Computationally relevant generalized derivatives: theory, evaluation and applications. (English) Zbl 1401.49016 Optim. Methods Softw. 33, No. 4-6, 1030-1072 (2018). MSC: 49J52 49M15 65K15 90C31 90C56 49Q12 PDF BibTeX XML Cite \textit{P. I. Barton} et al., Optim. Methods Softw. 33, No. 4--6, 1030--1072 (2018; Zbl 1401.49016) Full Text: DOI OpenURL
Petra, C. G.; Qiang, F.; Lubin, M.; Huchette, J. On efficient Hessian computation using the edge pushing algorithm in Julia. (English) Zbl 1407.90310 Optim. Methods Softw. 33, No. 4-6, 1010-1029 (2018). MSC: 90C30 65D25 90C05 90C06 PDF BibTeX XML Cite \textit{C. G. Petra} et al., Optim. Methods Softw. 33, No. 4--6, 1010--1029 (2018; Zbl 1407.90310) Full Text: DOI Link OpenURL
Christianson, Bruce Differentiating through conjugate gradient. (English) Zbl 1453.65068 Optim. Methods Softw. 33, No. 4-6, 988-994 (2018). MSC: 65F10 68W30 90C52 PDF BibTeX XML Cite \textit{B. Christianson}, Optim. Methods Softw. 33, No. 4--6, 988--994 (2018; Zbl 1453.65068) Full Text: DOI Link OpenURL
Charpentier, Isabelle; Gustedt, Jens Arbogast: higher order automatic differentiation for special functions with Modular C. (English) Zbl 1455.65006 Optim. Methods Softw. 33, No. 4-6, 963-987 (2018). MSC: 65-04 65D25 68W30 PDF BibTeX XML Cite \textit{I. Charpentier} and \textit{J. Gustedt}, Optim. Methods Softw. 33, No. 4--6, 963--987 (2018; Zbl 1455.65006) Full Text: DOI OpenURL
Charpentier, Isabelle; Cochelin, Bruno Towards a full higher order AD-based continuation and bifurcation framework. (English) Zbl 1453.65439 Optim. Methods Softw. 33, No. 4-6, 945-962 (2018). MSC: 65P30 70E60 PDF BibTeX XML Cite \textit{I. Charpentier} and \textit{B. Cochelin}, Optim. Methods Softw. 33, No. 4--6, 945--962 (2018; Zbl 1453.65439) Full Text: DOI HAL OpenURL
Bücker, H. Martin; Willkomm, Johannes Estimating the expansion coefficients of a geomagnetic field model using first-order derivatives of associated Legendre functions. (English) Zbl 1453.86037 Optim. Methods Softw. 33, No. 4-6, 924-944 (2018). MSC: 86A25 33C55 65Y99 PDF BibTeX XML Cite \textit{H. M. Bücker} and \textit{J. Willkomm}, Optim. Methods Softw. 33, No. 4--6, 924--944 (2018; Zbl 1453.86037) Full Text: DOI OpenURL
Srajer, Filip; Kukelova, Zuzana; Fitzgibbon, Andrew A benchmark of selected algorithmic differentiation tools on some problems in computer vision and machine learning. (English) Zbl 1453.65050 Optim. Methods Softw. 33, No. 4-6, 889-906 (2018). MSC: 65D25 65D19 65Y99 68T05 PDF BibTeX XML Cite \textit{F. Srajer} et al., Optim. Methods Softw. 33, No. 4--6, 889--906 (2018; Zbl 1453.65050) Full Text: DOI arXiv OpenURL
Wang, Mu; Lin, Guang; Pothen, Alex Using automatic differentiation for compressive sensing in uncertainty quantification. (English) Zbl 1453.94032 Optim. Methods Softw. 33, No. 4-6, 799-812 (2018). MSC: 94A12 65C99 PDF BibTeX XML Cite \textit{M. Wang} et al., Optim. Methods Softw. 33, No. 4--6, 799--812 (2018; Zbl 1453.94032) Full Text: DOI OpenURL
Rump, Siegfried M. Mathematically rigorous global optimization in floating-point arithmetic. (English) Zbl 1398.65093 Optim. Methods Softw. 33, No. 4-6, 771-798 (2018). MSC: 65G20 65H20 65K05 PDF BibTeX XML Cite \textit{S. M. Rump}, Optim. Methods Softw. 33, No. 4--6, 771--798 (2018; Zbl 1398.65093) Full Text: DOI OpenURL
Mullier, Olivier; Chapoutot, Alexandre; Alexandre dit Sandretto, Julien Validated computation of the local truncation error of Runge-Kutta methods with automatic differentiation. (English) Zbl 1397.65068 Optim. Methods Softw. 33, No. 4-6, 718-728 (2018). MSC: 65G40 65D30 65L06 65Y20 65L05 65L70 PDF BibTeX XML Cite \textit{O. Mullier} et al., Optim. Methods Softw. 33, No. 4--6, 718--728 (2018; Zbl 1397.65068) Full Text: DOI OpenURL
Li, Yingyi; Zhang, Haibin; Li, Zhibao; Gao, Huan Proximal gradient method with automatic selection of the parameter by automatic differentiation. (English) Zbl 1397.90362 Optim. Methods Softw. 33, No. 4-6, 708-717 (2018). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Y. Li} et al., Optim. Methods Softw. 33, No. 4--6, 708--717 (2018; Zbl 1397.90362) Full Text: DOI OpenURL
Birkisson, Ásgeir Automatic reformulation of ODEs to systems of first-order equations. (English) Zbl 1484.65166 ACM Trans. Math. Softw. 44, No. 3, Article No. 31, 18 p. (2018). MSC: 65L99 65L05 PDF BibTeX XML Cite \textit{Á. Birkisson}, ACM Trans. Math. Softw. 44, No. 3, Article No. 31, 18 p. (2018; Zbl 1484.65166) Full Text: DOI OpenURL
Saers, Markus; Wu, Dekai Handling ties correctly and efficiently in viterbi training using the viterbi semiring. (English) Zbl 06894757 Klein, Shmuel Tomi (ed.) et al., Language and automata theory and applications. 12th international conference, LATA 2018, Ramat Gan, Israel, April 9–11, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10792, 284-295 (2018). MSC: 68Q45 PDF BibTeX XML Cite \textit{M. Saers} and \textit{D. Wu}, Lect. Notes Comput. Sci. 10792, 284--295 (2018; Zbl 06894757) Full Text: DOI OpenURL
Estévez Schwarz, Diana; Lamour, René A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization. (English) Zbl 1409.65049 Numer. Algorithms 78, No. 2, 355-377 (2018). Reviewer: Alan L. Andrew (Bundoora) MSC: 65L80 34A09 90C30 90C55 PDF BibTeX XML Cite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, Numer. Algorithms 78, No. 2, 355--377 (2018; Zbl 1409.65049) Full Text: DOI OpenURL
Kubica, Bartlomiej Jacek Advanced interval tools for computing solutions of continuous games. (English) Zbl 1416.91019 Vychisl. Tekhnol. 23, No. 1, 3-18 (2018). MSC: 91A10 65Y05 91-04 PDF BibTeX XML Cite \textit{B. J. Kubica}, Vychisl. Tekhnol. 23, No. 1, 3--18 (2018; Zbl 1416.91019) Full Text: Link OpenURL
Gasnikov, A. V.; Dvurechenskiĭ, P. E.; Zhukovskiĭ, M. E.; Kim, S. V.; Plaunov, S. S.; Smirnov, D. A.; Noskov, F. A. About the power law of the PageRank vector component distribution. II: The Buckley-Osthus model, verification of the power law for this model, and setup of real search engines. (Russian, English) Zbl 1399.68010 Sib. Zh. Vychisl. Mat. 21, No. 1, 23-46 (2018); translation in Numer. Analysis Appl. 11, No. 1, 16-32 (2018). MSC: 68M11 65C05 65C40 90C15 90C90 PDF BibTeX XML Cite \textit{A. V. Gasnikov} et al., Sib. Zh. Vychisl. Mat. 21, No. 1, 23--46 (2018; Zbl 1399.68010); translation in Numer. Analysis Appl. 11, No. 1, 16--32 (2018) Full Text: DOI OpenURL
Birk, Lothar; McCulloch, T. Luke Robust generation of constrained B-spline curves based on automatic differentiation and fairness optimization. (English) Zbl 1381.65011 Comput. Aided Geom. Des. 59, 49-67 (2018). MSC: 65D17 65D07 65D25 PDF BibTeX XML Cite \textit{L. Birk} and \textit{T. L. McCulloch}, Comput. Aided Geom. Des. 59, 49--67 (2018; Zbl 1381.65011) Full Text: DOI OpenURL
Cao, Hui-Ping; Li, Dong-Hui Adjoint Broyden methods for symmetric nonlinear equations. (English) Zbl 1474.65143 Pac. J. Optim. 13, No. 4, 645-663 (2017). MSC: 65H10 65K05 90C26 PDF BibTeX XML Cite \textit{H.-P. Cao} and \textit{D.-H. Li}, Pac. J. Optim. 13, No. 4, 645--663 (2017; Zbl 1474.65143) Full Text: Link OpenURL
Albu, Alla; Zubov, Vladimir Application of the fast automatic differentiation for calculation of gradients of material’s bulk modulus and shear modulus. (English) Zbl 1392.49004 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2017, No. 1(83), 95-106 (2017). MSC: 49J20 93C20 PDF BibTeX XML Cite \textit{A. Albu} and \textit{V. Zubov}, Bul. Acad. Științe Repub. Mold., Mat. 2017, No. 1(83), 95--106 (2017; Zbl 1392.49004) Full Text: Link OpenURL
Auroux, D.; Groza, V. Optimal parameters identification and sensitivity study for abrasive waterjet milling model. (English) Zbl 1444.35161 Inverse Probl. Sci. Eng. 25, No. 11, 1560-1576 (2017). MSC: 35R30 35R25 35B30 65K10 35Q93 49K99 PDF BibTeX XML Cite \textit{D. Auroux} and \textit{V. Groza}, Inverse Probl. Sci. Eng. 25, No. 11, 1560--1576 (2017; Zbl 1444.35161) Full Text: DOI arXiv OpenURL
Gasnikov, A. V.; Gasnikova, E. V.; Dvurechenskiĭ, P. E.; Mohammed, A. A. M.; Chernousova, E. O. About the power law of the PageRank vector component distribution. I: Numerical methods for finding the PageRank vector. (Russian, English) Zbl 1399.68011 Sib. Zh. Vychisl. Mat. 20, No. 4, 359-378 (2017); translation in Numer. Analysis Appl. 10, No. 4, 299-312 (2017). MSC: 68M11 65C05 65C40 90C15 90C90 PDF BibTeX XML Cite \textit{A. V. Gasnikov} et al., Sib. Zh. Vychisl. Mat. 20, No. 4, 359--378 (2017; Zbl 1399.68011); translation in Numer. Analysis Appl. 10, No. 4, 299--312 (2017) Full Text: DOI OpenURL
Geeraert, Sébastien; Lehalle, Charles-Albert; Pearlmutter, Barak A.; Pironneau, Olivier; Reghai, Adil Mini-symposium on automatic differentiation and its applications in the financial industry. (English) Zbl 1407.91268 ESAIM, Proc. Surv. 59, 56-75 (2017). MSC: 91G60 91G20 65M99 35Q91 PDF BibTeX XML Cite \textit{S. Geeraert} et al., ESAIM, Proc. Surv. 59, 56--75 (2017; Zbl 1407.91268) Full Text: DOI arXiv OpenURL
Sadowski, P.; Kowalczyk-Gajewska, K.; Stupkiewicz, S. Consistent treatment and automation of the incremental Mori-Tanaka scheme for elasto-plastic composites. (English) Zbl 1386.74032 Comput. Mech. 60, No. 3, 493-511 (2017). MSC: 74C05 74S05 65N30 74E30 PDF BibTeX XML Cite \textit{P. Sadowski} et al., Comput. Mech. 60, No. 3, 493--511 (2017; Zbl 1386.74032) Full Text: DOI OpenURL
Tingelstad, Lars; Egeland, Olav Motor estimation using heterogeneous sets of objects in conformal geometric algebra. (English) Zbl 1410.70009 Adv. Appl. Clifford Algebr. 27, No. 3, 2035-2049 (2017). MSC: 70E15 15A66 90C53 90C90 PDF BibTeX XML Cite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 27, No. 3, 2035--2049 (2017; Zbl 1410.70009) Full Text: DOI OpenURL
Hückelheim, Jan Christian; Hascoët, Laurent; Müller, Jens-Dominik Algorithmic differentiation of code with multiple context-specific activities. (English) Zbl 1380.65051 ACM Trans. Math. Softw. 43, No. 4, Article No. 35, 21 p. (2017). MSC: 65D25 PDF BibTeX XML Cite \textit{J. C. Hückelheim} et al., ACM Trans. Math. Softw. 43, No. 4, Article No. 35, 21 p. (2017; Zbl 1380.65051) Full Text: DOI Link OpenURL
Mireles James, J. D.; Murray, Maxime Chebyshev-Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications. (English) Zbl 1382.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 14, Article ID 1730050, 32 p. (2017). MSC: 34C45 34C25 37M99 34B15 PDF BibTeX XML Cite \textit{J. D. Mireles James} and \textit{M. Murray}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 14, Article ID 1730050, 32 p. (2017; Zbl 1382.34053) Full Text: DOI arXiv OpenURL
de Moraes, Rafael J.; Rodrigues, José R. P.; Hajibeygi, Hadi; Jansen, Jan Dirk Multiscale gradient computation for flow in heterogeneous porous media. (English) Zbl 1375.76191 J. Comput. Phys. 336, 644-663 (2017). MSC: 76S05 76M12 65D25 PDF BibTeX XML Cite \textit{R. J. de Moraes} et al., J. Comput. Phys. 336, 644--663 (2017; Zbl 1375.76191) Full Text: DOI Link OpenURL
Peleš, Slaven; Klus, Stefan Sparse automatic differentiation for complex networks of differential-algebraic equations using abstract elementary algebra. (English) Zbl 1380.65475 Int. J. Numer. Anal. Model. 14, No. 6, 916-934 (2017). MSC: 65Y15 65D25 68N15 PDF BibTeX XML Cite \textit{S. Peleš} and \textit{S. Klus}, Int. J. Numer. Anal. Model. 14, No. 6, 916--934 (2017; Zbl 1380.65475) Full Text: arXiv Link OpenURL
Schutte, Aaron D. A nilpotent algebra approach to Lagrangian mechanics and constrained motion. (English) Zbl 1375.70067 Nonlinear Dyn. 88, No. 2, 1001-1012 (2017). MSC: 70H45 70G65 17B81 PDF BibTeX XML Cite \textit{A. D. Schutte}, Nonlinear Dyn. 88, No. 2, 1001--1012 (2017; Zbl 1375.70067) Full Text: DOI OpenURL
Tingelstad, Lars; Egeland, Olav Automatic multivector differentiation and optimization. (English) Zbl 1367.65034 Adv. Appl. Clifford Algebr. 27, No. 1, 707-731 (2017). MSC: 65D25 65K05 15A66 90C30 70E15 PDF BibTeX XML Cite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 27, No. 1, 707--731 (2017; Zbl 1367.65034) Full Text: DOI OpenURL
Aupy, Guillaume; Herrmann, Julien Periodicity in optimal hierarchical checkpointing schemes for adjoint computations. (English) Zbl 1381.65024 Optim. Methods Softw. 32, No. 3, 594-624 (2017). Reviewer: James P. Howard II (Columbia) MSC: 65D25 65Y20 68W40 49N45 90C30 PDF BibTeX XML Cite \textit{G. Aupy} and \textit{J. Herrmann}, Optim. Methods Softw. 32, No. 3, 594--624 (2017; Zbl 1381.65024) Full Text: DOI Link OpenURL
Dunning, Iain; Huchette, Joey; Lubin, Miles JuMP: a modeling language for mathematical optimization. (English) Zbl 1368.90002 SIAM Rev. 59, No. 2, 295-320 (2017). MSC: 90-04 90C05 90C06 90C30 65D25 PDF BibTeX XML Cite \textit{I. Dunning} et al., SIAM Rev. 59, No. 2, 295--320 (2017; Zbl 1368.90002) Full Text: DOI arXiv OpenURL
Charpentier, Isabelle; Lampoh, Komlanvi Sensitivity computations in higher order continuation methods. (English) Zbl 1452.35087 Appl. Math. Modelling 40, No. 4, 3365-3380 (2016). MSC: 35K91 35K20 65M06 65P30 PDF BibTeX XML Cite \textit{I. Charpentier} and \textit{K. Lampoh}, Appl. Math. Modelling 40, No. 4, 3365--3380 (2016; Zbl 1452.35087) Full Text: DOI OpenURL
Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian Automatic differentiation for Fourier series and the radii polynomial approach. (English) Zbl 1418.34094 Physica D 334, 174-186 (2016). MSC: 34C25 68W30 PDF BibTeX XML Cite \textit{J.-P. Lessard} et al., Physica D 334, 174--186 (2016; Zbl 1418.34094) Full Text: DOI OpenURL
Gejadze, I. Yu.; Malaterre, P.-O. Design of the control set in the framework of variational data assimilation. (English) Zbl 1375.93072 J. Comput. Phys. 325, 358-379 (2016). MSC: 93C41 65D25 PDF BibTeX XML Cite \textit{I. Yu. Gejadze} and \textit{P. O. Malaterre}, J. Comput. Phys. 325, 358--379 (2016; Zbl 1375.93072) Full Text: DOI HAL OpenURL
Charpentier, Isabelle Optimized higher-order automatic differentiation for the Faddeeva function. (English) Zbl 1378.65067 Comput. Phys. Commun. 205, 132-137 (2016). MSC: 65D25 65Q30 78A60 65Y15 PDF BibTeX XML Cite \textit{I. Charpentier}, Comput. Phys. Commun. 205, 132--137 (2016; Zbl 1378.65067) Full Text: DOI OpenURL
Zwicke, Florian; Knechtges, Philipp; Behr, Marek; Elgeti, Stefanie Automatic implementation of material laws: Jacobian calculation in a finite element code with TAPENADE. (English) Zbl 1368.65239 Comput. Math. Appl. 72, No. 11, 2808-2822 (2016). MSC: 65N30 65N22 PDF BibTeX XML Cite \textit{F. Zwicke} et al., Comput. Math. Appl. 72, No. 11, 2808--2822 (2016; Zbl 1368.65239) Full Text: DOI arXiv OpenURL