El Barkani, Imad; Addam, Mohamed Splines finite element solver for one-dimensional time-dependent Maxwell’s equations via Fourier transform discretization. (English) Zbl 07905404 Bol. Soc. Parana. Mat. (3) 42, Paper No. 125, 26 p. (2024). MSC: 65D05 65D07 65D30 65D32 65E05 65F30 65G20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Hasegawa, Takemitsu; Sugiura, Hiroshi An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code. (English) Zbl 1522.65035 J. Comput. Appl. Math. 437, Article ID 115450, 17 p. (2024). MSC: 65D32 41A55 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Bellio, Ruggero; Soriani, Nicola Maximum likelihood estimation based on the Laplace approximation for \(p_2\) network regression models. (English) Zbl 1530.91477 Stat. Neerl. 75, No. 1, 24-41 (2021). MSC: 91D30 05C20 05C80 62P25 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Goćwin, Maciej On optimal adaptive quadratures for automatic integration. (English) Zbl 1491.65023 BIT 61, No. 2, 411-439 (2021). MSC: 65D32 41A55 65D30 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Okayama, Tomoaki; Nomura, Tomoki; Tsuruta, Saki New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. (English) Zbl 1459.65030 J. Comput. Appl. Math. 389, Article ID 113354, 19 p. (2021). MSC: 65D30 65D32 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Hunt, Gregory J.; Dane, Mark A.; Korkola, James E.; Heiser, Laura M.; Gagnon-Bartsch, Johann A. Automatic transformation and integration to improve visualization and discovery of latent effects in imaging data. (English) Zbl 07500366 J. Comput. Graph. Stat. 29, No. 4, 929-941 (2020). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Hickernell, Fred J.; Jagadeeswaran, R. Comment on “Probabilistic integration: a role in statistical computation?”. (English) Zbl 1420.62139 Stat. Sci. 34, No. 1, 23-28 (2019). MSC: 62G05 65D30 65C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Johansson, Fredrik; Blagouchine, Iaroslav V. Computing Stieltjes constants using complex integration. (English) Zbl 1460.11151 Math. Comput. 88, No. 318, 1829-1850 (2019). MSC: 11Y60 11M35 65D20 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gebhardt, Cristian Guillermo; Hofmeister, Benedikt; Hente, Christian; Rolfes, Raimund Nonlinear dynamics of slender structures: a new object-oriented framework. (English) Zbl 1468.74021 Comput. Mech. 63, No. 2, 219-252 (2019). MSC: 74H15 74K99 74E30 74S05 68N19 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Breden, Maxime; Lessard, Jean-Philippe Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs. (English) Zbl 1398.65092 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2825-2858 (2018). MSC: 65G20 65P99 65D30 37M99 37C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pedersen, Gert K. Eilers, Søren (ed.); Olesen, Dorte (ed.) \(C^*\)-algebras and their automorphism groups. Edited by Søren Eilers and Dorte Olesen. 2nd edition. (English) Zbl 1460.46001 Pure and Applied Mathematics. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-814122-9/pbk; 978-0-12-814123-6/ebook). xviii, 520 p. (2018). MSC: 46-02 46L05 46L40 46L30 46L51 46L10 46L36 22D25 81T05 × Cite Format Result Cite Review PDF Full Text: DOI
Moczurad, Małgorzata; Zgliczyński, Piotr On the Petras algorithm for verified integration of piecewise analytic functions. (English) Zbl 1359.65036 J. Complexity 39, 69-93 (2017). MSC: 65D32 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiménez Rugama, Lluís Antoni; Hickernell, Fred J. Adaptive multidimensional integration based on rank-1 lattices. (English) Zbl 1356.65008 Cools, Ronald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC. Proceedings of the 11th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Leuven, Belgium, April 6–11, 2014. Cham: Springer (ISBN 978-3-319-33505-6/hbk; 978-3-319-33507-0/ebook). Springer Proceedings in Mathematics & Statistics 163, 407-422 (2016). MSC: 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni Reliable adaptive cubature using digital sequences. (English) Zbl 1356.65006 Cools, Ronald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC. Proceedings of the 11th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Leuven, Belgium, April 6–11, 2014. Cham: Springer (ISBN 978-3-319-33505-6/hbk; 978-3-319-33507-0/ebook). Springer Proceedings in Mathematics & Statistics 163, 367-383 (2016). MSC: 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van der Hoeven, Joris Certifying trajectories of dynamical systems. (English) Zbl 1460.37078 Kotsireas, Ilias S. (ed.) et al., Mathematical aspects of computer and information sciences. 6th international conference, MACIS 2015, Berlin, Germany, November 11–13, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9582, 520-532 (2016). MSC: 37M99 65L05 65G20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Sanz-Serna, J. M. Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more. (English) Zbl 1339.65243 SIAM Rev. 58, No. 1, 3-33 (2016). MSC: 65P10 37M15 65L06 65K10 49J15 65L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pauletti, M. Sebastian; Martinelli, Massimiliano; Cavallini, Nicola; Antolin, Pablo Igatools: an isogeometric analysis library. (English) Zbl 1332.65196 SIAM J. Sci. Comput. 37, No. 4, C465-C496 (2015). MSC: 65Y15 65D07 65D17 65N30 68N19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yin, Zheng-Nan; Xiao, Heng Automatic consistency integrations for the stress update of \(J_{2}\) elastoplastic rate constitutive equations with combined hardening. (English) Zbl 1352.74061 Int. J. Numer. Methods Eng. 98, No. 8, 590-611 (2014). MSC: 74C05 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
de Doncker, Elise; Kapenga, John; Assaf, Rida Monte Carlo automatic integration with dynamic parallelism in CUDA. (English) Zbl 1317.65024 Kindratenko, Volodymyr (ed.), Numerical computations with GPUs. Cham: Springer (ISBN 978-3-319-06547-2/hbk; 978-3-319-06548-9/ebook). 273-298 (2014). MSC: 65C05 65Y10 × Cite Format Result Cite Review PDF Full Text: DOI
Ber, A. F.; Chilin, V. I.; Sukochev, F. A. Continuous derivations on algebras of locally measurable operators are inner. (English) Zbl 1304.46064 Proc. Lond. Math. Soc. (3) 109, No. 1, 65-89 (2014). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46L57 46L51 46L52 47B47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clancy, Nicholas; Ding, Yuhan; Hamilton, Caleb; Hickernell, Fred J.; Zhang, Yizhi The cost of deterministic, adaptive, automatic algorithms: cones, not balls. (English) Zbl 1294.65032 J. Complexity 30, No. 1, 21-45 (2014). MSC: 65D32 65Y20 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Okayama, Tomoaki; Matsuo, Takayasu; Sugihara, Masaaki Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration. (English) Zbl 1281.65020 Numer. Math. 124, No. 2, 361-394 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D05 65D30 65D32 41A30 41A55 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavalcanti, Ana; Wellings, Andy; Woodcock, Jim The safety-critical Java memory model formalised. (English) Zbl 1259.68029 Formal Asp. Comput. 25, No. 1, 37-57 (2013). MSC: 68N19 68N15 68N30 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Stephen L. The guide to PAMIR. Theory and use of parameterized adaptive multidimensional integration routines. (English) Zbl 1268.65034 Hackensack, NJ: World Scientific (ISBN 978-981-4425-03-2/hbk; 978-981-4425-04-9/pbk). xi, 203 p. (2013). Reviewer: Jesus Illán González (Vigo) MSC: 65D32 65-01 41-04 41A55 41A63 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI
Abad, Alberto; Barrio, Roberto; Blesa, Fernando; Rodríguez, Marcos Algorithm 924, TIDES, a Taylor series integrator for differential equations. (English) Zbl 1295.65138 ACM Trans. Math. Softw. 39, No. 1, Article No. 5, 28 p. (2012). MSC: 65Y15 65D25 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Keller, Paweł A practical algorithm for computing Cauchy principal value integrals of oscillatory functions. (English) Zbl 1246.65257 Appl. Math. Comput. 218, No. 9, 4988-5001 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65T40 65D32 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Menshikova, Marina; Forth, Shaun A. Automatic differentiation of quadrature. (English) Zbl 1242.65046 Optim. Methods Softw. 27, No. 2, 323-335 (2012). MSC: 65D25 65D30 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F. Breaking the limits: The Taylor series method. (English) Zbl 1219.65064 Appl. Math. Comput. 217, No. 20, 7940-7954 (2011). MSC: 65L05 34A34 34A25 65L70 34-04 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI
Prentice, Justin Steven Calder Relative Error Control in Bivariate Interpolatory Cubature. arXiv:1110.2324 Preprint, arXiv:1110.2324 [math.NA] (2011). MSC: 65D30 65D32 65G20 × Cite Format Result Cite Full Text: arXiv
Andrianopoulos, Konstantinos I.; Papadimitriou, Achilleas G.; Bouckovalas, George D. Explicit integration of bounding surface model for the analysis of earthquake soil liquefaction. (English) Zbl 1273.74201 Int. J. Numer. Anal. Methods Geomech. 34, No. 15, 1586-1614 (2010). MSC: 74L10 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Tomas Computer-aided computation of abelian integrals and robust normal forms. (English) Zbl 1514.65002 Uppsala Dissertations in Mathematics 66. Uppsala: Uppsala Univ., Department of Mathematics (Diss.) (ISBN 978-91-506-2093-1). vi, 24 p., open access (2009). MSC: 65-02 65D17 34A60 34C07 34C20 37D10 37G15 37M20 37M99 65G20 65L09 65L70 × Cite Format Result Cite Review PDF Full Text: Link
Kakhiani, Khatuna; Tsereteli, Kakha; Tsereteli, Paata A program to generate a basis set adaptive radial quadrature grid for density functional theory. (English) Zbl 1198.65047 Comput. Phys. Commun. 180, No. 2, 256-268 (2009). MSC: 65D30 81V55 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Tomas; Tucker, Warwick Automated computation of robust normal forms of planar analytic vector fields. (English) Zbl 1185.34045 Discrete Contin. Dyn. Syst., Ser. B 12, No. 4, 769-782 (2009). MSC: 34C20 34C05 65L70 65G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laurie, Dirk Variable-precision arithmetic considered perilous - a detective story. (English) Zbl 1171.65393 ETNA, Electron. Trans. Numer. Anal. 28(2007-2008), 168-173 (2008). MSC: 65G20 65D30 65G99 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Farrouki, Atef; Barkat, Mourad Automatic censored mean level detector using a variability-based censoring with non-coherent integration. (English) Zbl 1186.94119 Signal Process. 87, No. 6, 1462-1473 (2007). MSC: 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Makino, Kyoko; Berz, Martin Surpression of the wrapping effect by Taylor model-based verified integrators: the single step. (English) Zbl 1131.65060 Int. J. Pure Appl. Math. 36, No. 2, 175-197 (2007). MSC: 65L05 65G20 34A34 65G40 × Cite Format Result Cite Review PDF
Li, Tiancheng; Robinson, Ian; Hill, Michael The index of merit of \(k\)th-copy integration lattices. (English) Zbl 1121.65004 J. Comput. Appl. Math. 205, No. 1, 394-405 (2007). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 11K36 11K45 × Cite Format Result Cite Review PDF Full Text: DOI
Gorlatsch, Sergei (ed.); Danelutto, Marco (ed.) Integrated research in GRID computing. (English) Zbl 1116.68012 New York, NY: Springer (ISBN 0-387-47656-3/hbk). xviii, 285 p. (2007). Reviewer: Tudor Bălănescu (Pitesti) MSC: 68M10 68N19 68-06 × Cite Format Result Cite Review PDF Full Text: DOI
Ber, A. F.; Chilin, V. I.; Sukochev, F. A. Non-trivial derivations on commutative regular algebras. (English) Zbl 1129.46056 Extr. Math. 21, No. 2, 107-147 (2006). Reviewer: Armando R. Villena (Granada) MSC: 46L57 46H40 46L51 47B47 × Cite Format Result Cite Review PDF Full Text: EuDML
Väth, Martin Continuity of single- and multivalued superposition operators in generalized ideal spaces of measurable vector functions. (English) Zbl 1119.47060 Nonlinear Funct. Anal. Appl. 11, No. 4, 607-646 (2006). Reviewer: Ulrich Kosel (Freiberg) MSC: 47H30 46E30 28B05 28B20 46E40 46G10 47H04 × Cite Format Result Cite Review PDF
Väth, Martin Generalized ideal spaces and applications to the superposition operator. (English) Zbl 1128.47054 Weber, Martin R. (ed.) et al., Proceedings of the conference “Positivity IV—Theory and Applications”, Dresden, Germany, July 25–29, 2005. Dresden, TU Dresden, Institut für Analysis (ISBN 3-86005-512-7/pbk). 147-154 (2006). Reviewer: Mohamed Zohry (Tétouan) MSC: 47H30 46E30 46E40 46G10 × Cite Format Result Cite Review PDF
Kaltofen, Erich; Morozov, Dmitriy; Yuhasz, George Generic matrix multiplication and memory management in LinBox. (English) Zbl 1360.65087 Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 216-223 (2005). MSC: 65Fxx 65Y15 68N19 × Cite Format Result Cite Review PDF Full Text: DOI
Makino, Kyoko; Berz, Martin Suppression of the wrapping effect by Taylor model-based verified integrators: long-term stabilization by preconditioning. (English) Zbl 1133.65045 Int. J. Differ. Equ. Appl. 10, No. 4, 353-384 (2005). MSC: 65L05 65G40 65G20 34A30 34A34 × Cite Format Result Cite Review PDF
Zhao, Jidong; Sheng, Daichao; Rouainia, M.; Sloan, Scott W. Explicit stress integration of complex soil models. (English) Zbl 1140.74561 Int. J. Numer. Anal. Methods Geomech. 29, No. 12, 1209-1229 (2005). MSC: 74S05 74L10 × Cite Format Result Cite Review PDF Full Text: DOI
Vollmer, Michael Automatic generation of wave digital structures for numerically integrating linear symmetric hyperbolic PDEs. (English) Zbl 1090.65123 Multidimensional Syst. Signal Process. 16, No. 4, 369-396 (2005). Reviewer: Michael Jung (Dresden) MSC: 65M70 35L50 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weiming; Lian, Xinze A new algorithm for symbolic integration with application. (English) Zbl 1076.65022 Appl. Math. Comput. 162, No. 2, 949-968 (2005). Reviewer: Catterina Dagnino (Torino) MSC: 65D30 68W30 68W05 × Cite Format Result Cite Review PDF Full Text: DOI
Milici, Constantin Automatic computation of some trigonometric integrals. III. (Sur le calcule automatique de quelques intégrales trigonométriques. III.) (French. English summary) Zbl 1131.60302 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 49(63), No. 2, 9-13 (2004). Reviewer: Neculai Curteanu (Iaşi) MSC: 60C05 65D30 68W30 × Cite Format Result Cite Review PDF
Petras, K. Numerical computation of an integral representation for arithmetic-average Asian options. (English) Zbl 1121.91368 Computing 73, No. 1, 25-39 (2004). MSC: 91B28 65D30 65D25 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
Pantalé, O.; Caperaa, S.; Rakotomalala, R. Development of an object-oriented finite element program: application to metal-forming and impact simulations. (English) Zbl 1107.74345 J. Comput. Appl. Math. 168, No. 1-2, 341-351 (2004). MSC: 74S05 68N19 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Barnett, Michael P. Symbolic computation of integrals by recurrence. (English) Zbl 1054.65025 SIGSAM Bull. 37, No. 2, 49-63 (2003). MSC: 65D32 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Chung, Jintai; Cho, Eun-Hyoung; Choi, Keeyoung A priori error estimator of the generalized-\(\alpha\) method for structural dynamics. (English) Zbl 1062.74647 Int. J. Numer. Methods Eng. 57, No. 4, 537-554 (2003). MSC: 74S20 74H15 70-08 70J50 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Hill, Michael; Robinson, Ian A comparison of strategies for the automatic computation of two-dimensional integrals over infinite domains. (English) Zbl 1035.65025 Numer. Algorithms 34, No. 2-4, 325-338 (2003). MSC: 65D32 41A55 41A63 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI
Lastovetsky, Alexey L. Parallel computing on heterogeneous networks. (English) Zbl 1049.68020 Wiley Series on Parallel and Distributed Computing. Hoboken, NJ: Wiley (ISBN 0-471-22982-2/hbk; 978-0-471-65416-2/ebook). xiii, 423 p. (2003). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 68M10 68Q10 68-02 68N19 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Makino, Kyoko; Berz, Martin Taylor models and other validated functional inclusion methods. (English) Zbl 1022.65051 Int. J. Pure Appl. Math. 4, No. 4, 379-456 (2003). Reviewer: Dana Petcu (Timişoara) MSC: 65G40 65G20 34A34 65D32 65L20 65L06 65K05 × Cite Format Result Cite Review PDF
Fanucci, L.; Forliti, M.; Terreni, P. FAST: FFT ASIC automated synthesis. (English) Zbl 1011.68012 Integr., VLSI J. 33, No. 1-2, 23-37 (2002). MSC: 68M99 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Pantalé, Olivier An object-oriented programming of an explicit dynamics code: application to impact simulation. (English) Zbl 1003.68590 Adv. Eng. Softw. 33, No. 5, 297-306 (2002). MSC: 68U99 68N19 68U20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Su, Feng; Hasegawa, Takemitsu; Sidi, Avram An automatic integration of infinite range integrals involving Bessel functions. (English) Zbl 1041.65030 Kluev, V. V. (ed.) et al., Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press (ISBN 960-8052-47-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 43-48 (2001). MSC: 65D32 33C10 42A38 41A55 65T40 × Cite Format Result Cite Review PDF
Lago, Joaquín Mateos; Artalejo, Mario Rodríguez A declarative framework for object-oriented programming with genetic inheritance. (English) Zbl 0992.68025 Theor. Comput. Sci. 269, No. 1-2, 363-417 (2001). MSC: 68N19 × Cite Format Result Cite Review PDF Full Text: DOI
Kanapady, R.; Tamma, K. K. A unified family of generalized integration operators [GInO] for non-linear structural dynamics: implementation aspects. (English) Zbl 1003.68548 Adv. Eng. Softw. 31, No. 8-9, 639-647 (2000). MSC: 68U99 68U20 68N19 × Cite Format Result Cite Review PDF Full Text: DOI
Miguel Sosa, Pedro F.; Bonet Senach, José Luis; Fernández Prada, Miguel A. Stress integration in concrete sections subjected to axial forces and biaxial bending. (Spanish. English summary) Zbl 1016.74081 Rev. Int. Métod. Numér. Cálc. Diseño Ing. 16, No. 2, 209-225 (2000). MSC: 74S30 74E30 × Cite Format Result Cite Review PDF
Storck, U. An adaptive numerical integration algorithm with automatic result verification for definite integrals. (English) Zbl 0967.65036 Computing 65, No. 3, 271-280 (2000). Reviewer: Jiří Rohn (Praha) MSC: 65D32 41A55 65G20 × Cite Format Result Cite Review PDF Full Text: DOI
Antúnez, Horacio J. Linear elements for metal-forming problems within the flow approach. (English) Zbl 1010.74059 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 783-801 (2000). MSC: 74S05 74C20 × Cite Format Result Cite Review PDF Full Text: DOI
Palopoli, L.; Pontieri, L.; Terracina, G.; Ursino, D. Intensional and extensional integration and abstraction of heterogeneous databases. (English) Zbl 0948.68057 Data Knowl. Eng. 35, No. 3, 201-237 (2000). MSC: 68P15 × Cite Format Result Cite Review PDF Full Text: DOI
Ehrich, Sven Stieltjes polynomials and the error of Gauss-Kronrod quadrature formulas. (English) Zbl 0941.65021 Gautschi, W. (ed.) et al., Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-29, 1998. Dedicated to the memory of Günther Hämmerlin. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 131, 57-77 (1999). MSC: 65D32 41A55 42C05 × Cite Format Result Cite Review PDF
Cunha, José C.; Laerenço, João; Duarte, Vítor Using DDBG to support testing and high-level debugging interfaces. (English) Zbl 0990.68038 Comput. Artif. Intell. 17, No. 5, 429-439 (1998). Reviewer: Peter Kacsuk (Budapest) MSC: 68N19 68N30 × Cite Format Result Cite Review PDF
Birgin, Ernesto G.; Evtushenko, Yuri G. Automatic differentiation and spectral projected gradient methods for optimal control problems. (English) Zbl 0943.65073 Optim. Methods Softw. 10, No. 2, 125-146 (1998). MSC: 65K10 65D25 49J15 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Chellapandi, P.; Alwar, R. S. Development of non-iterative self-correcting solution (NONSS) method for the viscoplastic analysis with the Chaboche model. (English) Zbl 0946.74059 Int. J. Numer. Methods Eng. 43, No. 4, 621-654 (1998). MSC: 74S05 74C10 × Cite Format Result Cite Review PDF Full Text: DOI
Espelid, Terje O. Remark on Algorithm 706: DCUTRI – an algorithm for adaptive cubature over a collection of triangles. (English) Zbl 0932.65024 ACM Trans. Math. Softw. 24, No. 3, 334-335 (1998). MSC: 65D32 41A55 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Berz, Martin; Makino, Kyoko Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models. (English) Zbl 0976.65061 Reliab. Comput. 4, No. 4, 361-369 (1998). MSC: 65L05 34A34 65G20 37C10 65P10 37M15 65L80 34A09 × Cite Format Result Cite Review PDF Full Text: DOI
Forest, Étienne Beam dynamics: a new attitude and framework. (English) Zbl 0934.81068 Reading: Harwood Academic. xxx, 463 p. (1998). Reviewer: N.D.Sengupta (Bombay) MSC: 81V10 81-02 00A79 × Cite Format Result Cite Review PDF
Eberhard, Peter; Bischof, Christian Some aspects of algorithmic differentiation of ordinary differential equations. (English) Zbl 0912.65061 Marti, Kurt (ed.) et al., Stochastic programming methods and technical applications. Proceedings of the 3rd GAMM/ IFIP-Workshop on “Stochastic optimization: numerical methods and applications”, Federal Armed Forces University Munich, Neubiberg/ Munich, Germany, June 17–20, 1996. Berlin: Springer. Lect. Notes Econ. Math. Syst. 458, 294-304 (1998). MSC: 65L05 70F10 68W30 34A34 65L50 × Cite Format Result Cite Review PDF
Steffen, Bernhard; Margaria, Tiziana; Braun, Volker The electronic tool integration platform: Concepts and design. (English) Zbl 1060.68549 Int. J. Softw. Tools Technol. Transf. 1, No. 1-2, 9-30 (1997). MSC: 68M10 68N99 × Cite Format Result Cite Review PDF Full Text: DOI
Favati, Paola; Fiorentino, Giuseppe; Lotti, Grazia; Romani, Francesco Local error estimates and regularity tests for the implementation of double adaptive quadrature. (English) Zbl 0887.65027 ACM Trans. Math. Softw. 23, No. 1, 16-31 (1997). MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cools, Ronald; Laurie, Dirk; Pluym, Luc Algorithm 764: Cubpack \(++\): A \(C++\) package for automatic two-dimensional cubature. (English) Zbl 0887.65029 ACM Trans. Math. Softw. 23, No. 1, 1-15 (1997). MSC: 65D32 65Y15 41A55 41A63 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hasegawa, Takemitsu; Sidi, Avram An automatic integration procedure for infinite range integrals involving oscillatory kernels. (English) Zbl 0879.65015 Numer. Algorithms 13, No. 1-2, 1-19 (1996). Reviewer: D.Acu (Sibiu) MSC: 65D32 33E20 33C10 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Okada, S.; Ricker, W. J. Spectral measures and automatic continuity. (English) Zbl 0890.46030 Bull. Belg. Math. Soc. - Simon Stevin 3, No. 3, 267-279 (1996). Reviewer: C.Swartz (Las Cruces) MSC: 46G10 47B15 47B40 46A08 × Cite Format Result Cite Review PDF Full Text: EuDML
Venter, Antoinetta; Laurie, Dirk P. Automatic quadrature of functions of the form \(g(| f(x)|)\). (English) Zbl 0853.65030 BIT 36, No. 2, 387-394 (1996). Reviewer: A.C.Genz (Pullman) MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Kunihiro, Noboru; Hayami, Ken; Sugihara, Masaaki Automatic numerical integration of nearly singular boundary element integrals. (English) Zbl 0835.65045 Ushijima, Teruo (ed.) et al., Advances in numerical mathematics. Proceedings of the 2nd Japan-China seminar on numerical mathematics, held in August 22-26, 1994 at the University of Electro-Communications in Tokyo, Japan. Tokyo: Kinokuniya. Lect. Notes Numer. Appl. Anal. 14, 249-252 (1995). MSC: 65D32 65N38 × Cite Format Result Cite Review PDF
Espelid, Terje O.; Genz, Alan DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region. (English) Zbl 0811.65018 Numer. Algorithms 8, No. 2-4, 201-220 (1994). MSC: 65D32 41A55 28-04 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Conti, Paolo; Tomizawa, Masaaki; Yoshii, Akira Generation of oriented three-dimensional Delaunay grids suitable for the control volume integration method. (English) Zbl 0821.65077 Int. J. Numer. Methods Eng. 37, No. 19, 3211-3227 (1994). Reviewer: M.Lenard (Kuwait) MSC: 65N50 65Z05 65D18 35Q60 78A55 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Morgan C.; Kennedy, William J. Self-validating computations of probabilities for selected central and noncentral univariate probability functions. (English) Zbl 0804.62017 J. Am. Stat. Assoc. 89, No. 427, 878-887 (1994). MSC: 62E99 65C99 65G30 65C30 60E99 × Cite Format Result Cite Review PDF Full Text: DOI
Favati, Paola; Lotti, Grazia; Di Marco, Gaspare; Romani, Francesco Asymptotic behavior of automatic quadrature. (English) Zbl 0833.65012 J. Complexity 10, No. 3, 296-340 (1994). Reviewer: D.Acu (Sibiu) MSC: 65D32 41A55 65Y20 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Cariño, Ricolindo; Robinson, Ian; De Doncker, Elise Adaptive cubature over a collection of triangles using the \(d\)- transformation. (English) Zbl 0822.65016 J. Comput. Appl. Math. 50, No. 1-3, 171-183 (1994). Reviewer: J.Prestin (Rostock) MSC: 65D32 41A55 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Rodríguez-Ferran, A.; Huerta, A. A comparison of two objective stress rates in object-oriented codes. (English) Zbl 1004.74003 Barcelona: CIMNE. 65 p. (1994). Reviewer: M.Mişicu (Bucureşti) MSC: 74-02 74S05 74C20 68N19 × Cite Format Result Cite Review PDF
Géradin, Michel Numerical and software aspects of the finite element approach to the dynamics of flexible multibody systems. (Aspects numériques et logiciels de l’approche éléments finis à l’analyse dynamique des systèmes articulés flexibles.) (French) Zbl 0882.73066 Bernadou, M. (ed.) et al., Colloque national en calcul des structures, 11-14 mai 1993, Giens, Var, France. Vol. 1. Paris: Hermes. 13-32 (1993). Reviewer: M.Bernadou (Le Chesnay) MSC: 74S05 74H45 × Cite Format Result Cite Review PDF
Pérez-Jordá, José M.; San-Fabián, Emilio A simple, efficient and more reliable scheme for automatic numerical integration. (English) Zbl 0854.65017 Comput. Phys. Commun. 77, No. 1-3, 46-56 (1993). MSC: 65D32 41A55 41A80 × Cite Format Result Cite Review PDF Full Text: DOI
Schirm, W.; Blajer, W.; Schiehlen, W. On the treatment of multibody systems using kinematic loops in minimal form. (Zur Behandlung von Mehrkörpersystemen mit kinematischen Schleifen in Minimalform.) (German) Zbl 0819.70002 Z. Angew. Math. Mech. 73, No. 4-5, T105-T107 (1993). Reviewer: E.Kreuzer (Hamburg) MSC: 70B10 70B15 70-08 × Cite Format Result Cite Review PDF
Givoli, Dan; Henigsberg, Ilan A simple time-step control scheme. (English) Zbl 0797.65069 Commun. Numer. Methods Eng. 9, No. 11, 873-881 (1993). Reviewer: R.Anguelov (Welkom) MSC: 65M50 65M60 65M20 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Cariño, Ricolindo; Robinson, Ian; De Doncker, Elise An algorithm for automatic integration of certain singular functions over a triangle. (English) Zbl 0747.65016 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 295-304 (1992). Reviewer: D.Acu (Sibiu) MSC: 65D32 41A55 65Y20 41A63 × Cite Format Result Cite Review PDF
Keast, Patrick Software for integration over triangles and general simplices. (English) Zbl 0741.65019 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 283-294 (1992). MSC: 65D32 41A55 28-04 41A63 × Cite Format Result Cite Review PDF
Berntsen, Jarle On the numerical calculation of multidimensional integrals appearing in the theory of underwater acoustics. (English) Zbl 0741.65011 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 249-265 (1992). MSC: 65D32 41A55 41A63 76Q05 × Cite Format Result Cite Review PDF
Fischer, Hans-Christoph Efficient computation of derivative values, gradients, and Taylor coefficients. (Effiziente Berechnung von Ableitungswerten, Gradienten und Taylorkoeffizienten.) (German) Zbl 0751.65012 Jahrb. Überbl. Math. 1992, 59-73 (1992). Reviewer: D.Braess (Bochum) MSC: 65D25 68W30 65D30 65G30 × Cite Format Result Cite Review PDF
Lagarias, J. C. Number theory and dynamical systems. (English) Zbl 0773.11051 The unreasonable effectiveness of number theory, Lect. Notes AMS Short Course, Orono/ME (USA) 1991, Proc. Symp. Appl. Math. 46, 35-72 (1992). Reviewer: J.-P.Allouche (Bordeaux) MSC: 11K50 54H20 11K60 37J35 37K10 37J99 11J70 70F15 82D25 26A18 11B85 × Cite Format Result Cite Review PDF
Bedrosian, G. Shape functions and integration formulas for three-dimensional finite element analysis. (English) Zbl 0772.65011 Int. J. Numer. Methods Eng. 35, No. 1, 95-108 (1992). Reviewer: H.P.Dikshit (New Delhi) MSC: 65D32 65N50 65N30 41A55 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Painter, Jeffrey F. The matrix editor for symbolic Jacobians in ALPAL. (English) Zbl 0919.65094 Wang, Paul S. (ed.), International symposium on Symbolic and algebraic computation 92. ISSAC 92. Berkeley, CA, USA, July 27–29, 1992. Baltimore, MD: ACM Press. 312-319 (1992). MSC: 65R20 45J05 45G10 65Y15 68W30 × Cite Format Result Cite Review PDF
Hasegawa, Takemitsu; Torii, Tatsuo Application of a modified FFT to product type integration. (English) Zbl 0754.65023 J. Comput. Appl. Math. 38, No. 1-3, 157-168 (1991). Reviewer: W.Moldenhauer (Erfurt) MSC: 65D30 65D32 41A55 30E20 × Cite Format Result Cite Review PDF Full Text: DOI