Yang, Zhao; Chen, Tao The accurate and efficient solutions of linear systems for generalized sign regular matrices with certain signature. (English) Zbl 07733952 J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{Z. Yang} and \textit{T. Chen}, J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023; Zbl 07733952) Full Text: DOI
Alzahrani, Hasnaa; Turkiyyah, George; Knio, Omar; Keyes, David Space-fractional diffusion with variable order and diffusivity: discretization and direct solution strategies. (English) Zbl 1513.35511 Commun. Appl. Math. Comput. 4, No. 4, 1416-1440 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 65F55 65R20 PDFBibTeX XMLCite \textit{H. Alzahrani} et al., Commun. Appl. Math. Comput. 4, No. 4, 1416--1440 (2022; Zbl 1513.35511) Full Text: DOI arXiv
Ouznadji, Said; Chaabane, Djamal; Thameri, Messaoud Multiple objective optimization applied to speech enhancement problem. (English) Zbl 1467.90068 RAIRO, Oper. Res. 54, No. 6, 1555-1572 (2020). MSC: 90C29 90C05 90C25 90C90 65K05 PDFBibTeX XMLCite \textit{S. Ouznadji} et al., RAIRO, Oper. Res. 54, No. 6, 1555--1572 (2020; Zbl 1467.90068) Full Text: DOI
Şahin, Engin Quantum arithmetic operations based on quantum Fourier transform on signed integers. (English) Zbl 1457.81028 Int. J. Quantum Inf. 18, No. 6, Article ID 2050035, 21 p. (2020). MSC: 81P68 68Q12 65Y04 PDFBibTeX XMLCite \textit{E. Şahin}, Int. J. Quantum Inf. 18, No. 6, Article ID 2050035, 21 p. (2020; Zbl 1457.81028) Full Text: DOI arXiv
Reitberger, Günther; Sauer, Tomas Background subtraction using adaptive singular value decomposition. (English) Zbl 1496.68357 J. Math. Imaging Vis. 62, No. 8, 1159-1172 (2020). MSC: 68U10 65F15 PDFBibTeX XMLCite \textit{G. Reitberger} and \textit{T. Sauer}, J. Math. Imaging Vis. 62, No. 8, 1159--1172 (2020; Zbl 1496.68357) Full Text: DOI arXiv
Cordeiro, Sergio Gustavo Ferreira; Leonel, Edson Denner Subtraction singularity technique applied to the regularization of singular and hypersingular integrals in high-order curved boundary elements in plane anisotropic elasticity. (English) Zbl 1464.74254 Eng. Anal. Bound. Elem. 119, 214-224 (2020). MSC: 74S15 65N38 65D30 74A10 74M25 PDFBibTeX XMLCite \textit{S. G. F. Cordeiro} and \textit{E. D. Leonel}, Eng. Anal. Bound. Elem. 119, 214--224 (2020; Zbl 1464.74254) Full Text: DOI
Xu, Kailai; Darve, Eric Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain. (English) Zbl 1442.65411 Comput. Methods Appl. Mech. Eng. 364, Article ID 112936, 17 p. (2020). MSC: 65N35 35R11 PDFBibTeX XMLCite \textit{K. Xu} and \textit{E. Darve}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112936, 17 p. (2020; Zbl 1442.65411) Full Text: DOI arXiv
Li, Hai-Sheng; Xu, Yusi; Qin, Yunbai; Fu, Deli; Xia, Hai-Ying The addition and subtraction of quantum matrix based on GNEQR. (English) Zbl 1447.81078 Int. J. Quantum Inf. 17, No. 7, Article ID 1950056, 23 p. (2019). MSC: 81P68 65Y04 PDFBibTeX XMLCite \textit{H.-S. Li} et al., Int. J. Quantum Inf. 17, No. 7, Article ID 1950056, 23 p. (2019; Zbl 1447.81078) Full Text: DOI
Du, Huijing; Liu, Yingjie; Liu, Yuan; Xu, Zhiliang Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes. (English) Zbl 07161443 J. Sci. Comput. 81, No. 3, 2115-2131 (2019). MSC: 65Dxx 65Fxx 65Lxx 65Gxx 65Hxx PDFBibTeX XMLCite \textit{H. Du} et al., J. Sci. Comput. 81, No. 3, 2115--2131 (2019; Zbl 07161443) Full Text: DOI
Oliveira, T.; Portela, A. A local mesh free method with the singularity subtraction technique. (English) Zbl 1464.74407 Eng. Anal. Bound. Elem. 104, 148-159 (2019). MSC: 74S99 65N99 74A45 74B05 PDFBibTeX XMLCite \textit{T. Oliveira} and \textit{A. Portela}, Eng. Anal. Bound. Elem. 104, 148--159 (2019; Zbl 1464.74407) Full Text: DOI
Oliveira, T.; Vélez, W.; Santana, E.; Araújo, T.; Mendonça, F.; Portela, A. A local mesh free method for linear elasticity and fracture mechanics. (English) Zbl 1464.74408 Eng. Anal. Bound. Elem. 101, 221-242 (2019). MSC: 74S99 65N35 74B05 74R10 PDFBibTeX XMLCite \textit{T. Oliveira} et al., Eng. Anal. Bound. Elem. 101, 221--242 (2019; Zbl 1464.74408) Full Text: DOI
Liu, Lin Computation of uniform mean flow acoustic scattering by single layer regularized meshless method. (English) Zbl 1432.76240 Eng. Anal. Bound. Elem. 99, 260-267 (2019). MSC: 76Q05 65N38 PDFBibTeX XMLCite \textit{L. Liu}, Eng. Anal. Bound. Elem. 99, 260--267 (2019; Zbl 1432.76240) Full Text: DOI
Lichae, Bijan Hasani; Biazar, Jafar; Ayati, Zainab A class of Runge-Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels. (English) Zbl 1448.65279 Adv. Difference Equ. 2018, Paper No. 349, 19 p. (2018). MSC: 65R20 26A33 34A08 45D05 PDFBibTeX XMLCite \textit{B. H. Lichae} et al., Adv. Difference Equ. 2018, Paper No. 349, 19 p. (2018; Zbl 1448.65279) Full Text: DOI
Pérez-Arancibia, Carlos A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations. (English) Zbl 1377.65161 Appl. Numer. Math. 123, 221-240 (2018). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{C. Pérez-Arancibia}, Appl. Numer. Math. 123, 221--240 (2018; Zbl 1377.65161) Full Text: DOI
Liu, Lin Single layer regularized meshless method for three dimensional exterior acoustic problem. (English) Zbl 1403.74310 Eng. Anal. Bound. Elem. 77, 138-144 (2017). MSC: 74S30 65N80 74H45 76Q05 PDFBibTeX XMLCite \textit{L. Liu}, Eng. Anal. Bound. Elem. 77, 138--144 (2017; Zbl 1403.74310) Full Text: DOI
Magura, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. High-order numerical solution of the Helmholtz equation for domains with reentrant corners. (English) Zbl 1367.65155 Appl. Numer. Math. 118, 87-116 (2017). MSC: 65N20 35J05 PDFBibTeX XMLCite \textit{S. Magura} et al., Appl. Numer. Math. 118, 87--116 (2017; Zbl 1367.65155) Full Text: DOI
Bouwmans, Thierry; Sobral, Andrews; Javed, Sajid; Jung, Soon Ki; Zahzah, El-Hadi Decomposition into low-rank plus additive matrices for background/foreground separation: a review for a comparative evaluation with a large-scale dataset. (English) Zbl 1398.68572 Comput. Sci. Rev. 23, 1-71 (2017). MSC: 68T45 62H25 65F30 68-02 PDFBibTeX XMLCite \textit{T. Bouwmans} et al., Comput. Sci. Rev. 23, 1--71 (2017; Zbl 1398.68572) Full Text: DOI arXiv
Liu, Lin; Zhang, Hong Single layer regularized meshless method for three dimensional Laplace problem. (English) Zbl 1403.65258 Eng. Anal. Bound. Elem. 71, 164-168 (2016). MSC: 65N80 PDFBibTeX XMLCite \textit{L. Liu} and \textit{H. Zhang}, Eng. Anal. Bound. Elem. 71, 164--168 (2016; Zbl 1403.65258) Full Text: DOI
Lv, Jia-He; Feng, Xia-Ting; Chen, Bing-Rui; Jiang, Quan; Guo, Hao-Sen The CPCT based CBIE and HBIE for potential problems in three dimensions. (English) Zbl 1403.65214 Eng. Anal. Bound. Elem. 67, 53-62 (2016). MSC: 65N38 PDFBibTeX XMLCite \textit{J.-H. Lv} et al., Eng. Anal. Bound. Elem. 67, 53--62 (2016; Zbl 1403.65214) Full Text: DOI
Caicedo, J.; Portela, A. Cracked plate analysis with the dual boundary element method and Williams’ eigenexpansion. (English) Zbl 1403.74079 Eng. Anal. Bound. Elem. 52, 16-23 (2015). MSC: 74R05 74S15 65N38 74K20 PDFBibTeX XMLCite \textit{J. Caicedo} and \textit{A. Portela}, Eng. Anal. Bound. Elem. 52, 16--23 (2015; Zbl 1403.74079) Full Text: DOI
Yamashita, Takumi; Kimura, Kinji; Yamamoto, Yusaku A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix. (English) Zbl 1329.65079 Numer. Algorithms 69, No. 4, 893-912 (2015). Reviewer: Iveta Hnetynkova (Praha) MSC: 65F15 15A18 15A42 65F50 PDFBibTeX XMLCite \textit{T. Yamashita} et al., Numer. Algorithms 69, No. 4, 893--912 (2015; Zbl 1329.65079) Full Text: DOI arXiv
Britt, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. Computation of singular solutions to the Helmholtz equation with high order accuracy. (English) Zbl 1326.65141 Appl. Numer. Math. 93, 215-241 (2015). MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{S. Britt} et al., Appl. Numer. Math. 93, 215--241 (2015; Zbl 1326.65141) Full Text: DOI
Farutin, Alexander; Biben, Thierry; Misbah, Chaouqi 3D numerical simulations of vesicle and inextensible capsule dynamics. (English) Zbl 1349.76416 J. Comput. Phys. 275, 539-568 (2014). MSC: 76M15 65N38 76D07 92C35 PDFBibTeX XMLCite \textit{A. Farutin} et al., J. Comput. Phys. 275, 539--568 (2014; Zbl 1349.76416) Full Text: DOI
Farutin, Alexander; Misbah, Chaouqi Exact singularity subtraction from boundary integral equations in modeling vesicles and red blood cells. (English) Zbl 1324.92008 Numer. Math., Theory Methods Appl. 7, No. 4, 413-434 (2014). MSC: 92C35 65R20 76Z05 PDFBibTeX XMLCite \textit{A. Farutin} and \textit{C. Misbah}, Numer. Math., Theory Methods Appl. 7, No. 4, 413--434 (2014; Zbl 1324.92008) Full Text: DOI Link
Polimeridis, A. G.; Järvenpää, S.; Ylä-Oijala, P.; Gray, L. J.; Kiminki, S. P.; Mosig, J. R. On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods. (English) Zbl 1352.65594 Eng. Anal. Bound. Elem. 37, No. 2, 205-210 (2013). MSC: 65N38 45E05 PDFBibTeX XMLCite \textit{A. G. Polimeridis} et al., Eng. Anal. Bound. Elem. 37, No. 2, 205--210 (2013; Zbl 1352.65594) Full Text: DOI
Gori, Laura; Pellegrino, E.; Santi, Elisabetta Numerical evaluation of certain hypersingular integrals using refinable operators. (English) Zbl 1244.65037 Math. Comput. Simul. 82, No. 1, 132-143 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Gori} et al., Math. Comput. Simul. 82, No. 1, 132--143 (2011; Zbl 1244.65037) Full Text: DOI
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P. From high oscillation to rapid approximation. IV: Accelerating convergence. (English) Zbl 1218.65154 IMA J. Numer. Anal. 31, No. 2, 442-468 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42A16 42B05 PDFBibTeX XMLCite \textit{D. Huybrechs} et al., IMA J. Numer. Anal. 31, No. 2, 442--468 (2011; Zbl 1218.65154) Full Text: DOI
Marin, Liviu A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations. (English) Zbl 1244.65164 Eng. Anal. Bound. Elem. 34, No. 3, 274-288 (2010). MSC: 65N21 65N80 PDFBibTeX XMLCite \textit{L. Marin}, Eng. Anal. Bound. Elem. 34, No. 3, 274--288 (2010; Zbl 1244.65164) Full Text: DOI
Markov, Svetoslav M.; Hayes, Nathan T. On the arithmetic of errors. (English) Zbl 1229.65073 Serdica J. Comput. 4, No. 4, 447-462 (2010). MSC: 65G30 PDFBibTeX XMLCite \textit{S. M. Markov} and \textit{N. T. Hayes}, Serdica J. Comput. 4, No. 4, 447--462 (2010; Zbl 1229.65073) Full Text: EuDML
Lew, S.; Wolters, C. H.; Dierkes, T.; Röer, C.; MacLeod, R. S. Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis. (English) Zbl 1165.92029 Appl. Numer. Math. 59, No. 8, 1970-1988 (2009). MSC: 92C55 78A70 65N30 PDFBibTeX XMLCite \textit{S. Lew} et al., Appl. Numer. Math. 59, No. 8, 1970--1988 (2009; Zbl 1165.92029) Full Text: DOI Link
Sun, Yang; Tao, Yu-Hui; Bai, Feng-Shan Incomplete Gröbner basis as a preconditioner for polynomial systems. (English) Zbl 1165.65026 J. Comput. Appl. Math. 226, No. 1, 2-9 (2009). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P10 26C10 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Comput. Appl. Math. 226, No. 1, 2--9 (2009; Zbl 1165.65026) Full Text: DOI
Boyd, John P. Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\). (English) Zbl 1159.65112 J. Comput. Phys. 228, No. 5, 1404-1411 (2009). MSC: 65T40 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 228, No. 5, 1404--1411 (2009; Zbl 1159.65112) Full Text: DOI
Singh, Krishna M.; Tanaka, Masataka Elementary analytical integrals required in subtraction of singularity method for evaluation of weakly singular boundary integrals. (English) Zbl 1195.65191 Eng. Anal. Bound. Elem. 31, No. 3, 241-247 (2007). MSC: 65N38 PDFBibTeX XMLCite \textit{K. M. Singh} and \textit{M. Tanaka}, Eng. Anal. Bound. Elem. 31, No. 3, 241--247 (2007; Zbl 1195.65191) Full Text: DOI
Talbi, Mourad; Belgacem, Haythem; Cherif, Adnane A wavelet packet speech denoising using spectral entropy. (English) Zbl 1157.94319 Zheng, S. Q. (ed.), Parallel and distributed computing systems. Proceedings of the 19th IASTED international conference (PDCS 2007), Cambridge, MA, USA, November 19–21, 2007. Calgary: International Association of Science and Technology for Development (IASTED); Anaheim, CA: Acta Press (ISBN 978-0-88986-704-8/CD-ROM). 515-520 (2007). MSC: 94A11 94A12 42C40 65T60 PDFBibTeX XMLCite \textit{M. Talbi} et al., in: Parallel and distributed computing systems. Proceedings of the 19th IASTED international conference (PDCS 2007), Cambridge, MA, USA, November 19--21, 2007. Calgary: International Association of Science and Technology for Development (IASTED); Anaheim, CA: Acta Press. 515--520 (2007; Zbl 1157.94319)
Johnston, Barbara M.; Johnston, Peter R. A modified non-linear transformation method for evaluating weakly singular boundary integrals. (English) Zbl 1035.65141 Appl. Math. Comput. 148, No. 2, 519-535 (2004). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{B. M. Johnston} and \textit{P. R. Johnston}, Appl. Math. Comput. 148, No. 2, 519--535 (2004; Zbl 1035.65141) Full Text: DOI
Mammoli, Andrea A. Solution of nonlinear boundary integral equations in complex geometries with auxiliary integral subtraction. (English) Zbl 1013.65129 Int. J. Numer. Methods Eng. 55, No. 9, 1115-1128 (2002). MSC: 65N38 35J05 35Q30 65N15 PDFBibTeX XMLCite \textit{A. A. Mammoli}, Int. J. Numer. Methods Eng. 55, No. 9, 1115--1128 (2002; Zbl 1013.65129) Full Text: DOI
Cuyt, A.; Verdonk, B.; Becuwe, S.; Kuterna, P. A remarkable example of catastrophic cancellation unraveled. (English) Zbl 0999.65031 Computing 66, No. 3, 309-320 (2001). Reviewer: Jacek Gilewicz (Marseille) MSC: 65G50 PDFBibTeX XMLCite \textit{A. Cuyt} et al., Computing 66, No. 3, 309--320 (2001; Zbl 0999.65031) Full Text: DOI
Singh, Krishna M.; Tanaka, Masataka On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals. (English) Zbl 0978.65111 Int. J. Numer. Methods Eng. 50, No. 8, 2007-2030 (2001). Reviewer: Karel Najzar (Praha) MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{K. M. Singh} and \textit{M. Tanaka}, Int. J. Numer. Methods Eng. 50, No. 8, 2007--2030 (2001; Zbl 0978.65111) Full Text: DOI
Santos-León, J. C. Computation of integrals over the unit circle with nearby poles. (English) Zbl 0980.65022 Appl. Numer. Math. 36, No. 2-3, 179-195 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. C. Santos-León}, Appl. Numer. Math. 36, No. 2--3, 179--195 (2001; Zbl 0980.65022) Full Text: DOI
Neumaier, Arnold On Shary’s algebraic approach for linear interval equations. (English) Zbl 0959.65054 SIAM J. Matrix Anal. Appl. 21, No. 4, 1156-1162 (2000). Reviewer: H.Ratschek (Düsseldorf) MSC: 65F10 65G30 PDFBibTeX XMLCite \textit{A. Neumaier}, SIAM J. Matrix Anal. Appl. 21, No. 4, 1156--1162 (2000; Zbl 0959.65054) Full Text: DOI
Jin, Shan The signal estimator limit setting method. (English) Zbl 1057.65528 Nucl. Phys., A 675, No. 1-2, 88-91 (2000). MSC: 65Z05 65C05 PDFBibTeX XMLCite \textit{S. Jin}, Nucl. Phys., A 675, No. 1--2, 88--91 (2000; Zbl 1057.65528) Full Text: DOI arXiv
Gülzow, T.; Engelsberg, A.; Heute, U. Comparison of a discrete wavelet transformation and a nonuniform polyphase filterbank applied to spectral-subtraction speech enhancement. (English) Zbl 0894.94012 Signal Process. 64, No. 1, 5-19 (1998). MSC: 94A12 65T99 68T10 PDFBibTeX XMLCite \textit{T. Gülzow} et al., Signal Process. 64, No. 1, 5--19 (1998; Zbl 0894.94012) Full Text: DOI
Averbuch, A.; Israeli, M.; Vozovoi, L. A fast Poisson solver of arbitrary order accuracy in rectangular regions. (English) Zbl 0910.35027 SIAM J. Sci. Comput. 19, No. 3, 933-952 (1998). MSC: 65N35 35C10 65Z05 35J05 PDFBibTeX XMLCite \textit{A. Averbuch} et al., SIAM J. Sci. Comput. 19, No. 3, 933--952 (1998; Zbl 0910.35027) Full Text: DOI
Averbuch, A.; Vozovoi, L.; Israeli, M. On a fast direct elliptic solver by a modified Fourier method. (English) Zbl 0892.65069 Numer. Algorithms 15, No. 3-4, 287-313 (1997). Reviewer: Carlos A.De Moura (Niteroi) MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{A. Averbuch} et al., Numer. Algorithms 15, No. 3--4, 287--313 (1997; Zbl 0892.65069) Full Text: DOI
Vozovoi, L.; Israeli, M.; Averbuch, A. Analysis and application of Fourier-Gegenbauer method to stiff differential equations. (English) Zbl 0864.41007 SIAM J. Numer. Anal. 33, No. 5, 1844-1863 (1996). Reviewer: G.Plonka (Rostock) MSC: 65T50 34E13 42A99 41A10 41A25 PDFBibTeX XMLCite \textit{L. Vozovoi} et al., SIAM J. Numer. Anal. 33, No. 5, 1844--1863 (1996; Zbl 0864.41007) Full Text: DOI
Santi, Elisabetta On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines. (English) Zbl 0856.65010 J. Comput. Appl. Math. 71, No. 1, 1-14 (1996). Reviewer: R.S.Dahiya (Ames) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{E. Santi}, J. Comput. Appl. Math. 71, No. 1, 1--14 (1996; Zbl 0856.65010) Full Text: DOI
Jumarhon, Bartur; McKee, Sean Product integration methods for solving a system of nonlinear Volterra integral equations. (English) Zbl 0858.65139 J. Comput. Appl. Math. 69, No. 2, 285-301 (1996). Reviewer: H.Brunner (St.John’s) MSC: 65R20 35K60 65M70 65M12 45G15 35K05 PDFBibTeX XMLCite \textit{B. Jumarhon} and \textit{S. McKee}, J. Comput. Appl. Math. 69, No. 2, 285--301 (1996; Zbl 0858.65139) Full Text: DOI
Bühring, Kathrin Quadrature methods for the Cauchy singular integral equation on curves with corner points and for the hypersingular integral equation on the interval. (English) Zbl 0863.65088 Berlin: FU Berlin, FB Math. u. Inform. 120 p. (1995). MSC: 65R20 45E05 65N38 45L05 PDFBibTeX XMLCite \textit{K. Bühring}, Quadrature methods for the Cauchy singular integral equation on curves with corner points and for the hypersingular integral equation on the interval. Berlin: FU Berlin, FB Math. u. Inform. (1995; Zbl 0863.65088)
Smith, R. N. L. Subtraction of singularities using boundary elements. (English) Zbl 0839.65125 Brebbia, C. A. (ed.) et al., Boundary elements XVII. Proceedings of the 17th international conference on boundary elements, BEM 17, held in Madison, WI, USA, in July 1995. Southampton: Computational Mechanics Publications. Boundary Elem. 17, 59-66 (1995). MSC: 65N38 35J05 31A10 PDFBibTeX XMLCite \textit{R. N. L. Smith}, in: Boundary elements XVII. Proceedings of the 17th international conference on boundary elements, BEM 17, held in Madison, WI, USA, in July 1995. Southampton: Computational Mechanics Publications. 59--66 (1995; Zbl 0839.65125)
Ahues, Mario; Largillier, Alain Two numerical approximations for a class of weakly singular integral operators. (English) Zbl 0836.65147 Appl. Numer. Math. 17, No. 4, 347-362 (1995). Reviewer: J.Elschner (Berlin) MSC: 65R20 45C05 47G10 45P05 PDFBibTeX XMLCite \textit{M. Ahues} and \textit{A. Largillier}, Appl. Numer. Math. 17, No. 4, 347--362 (1995; Zbl 0836.65147) Full Text: DOI
Diethelm, Kai Numerical approximation of Cauchy principal value integrals under theoretical and computer- oriented aspects. (Numerische Approximation von Cauchy-Hauptwert-Integralen unter theoretischen und rechnerorientierten Aspekten.) (German. English summary) Zbl 0833.65014 Hildesheim: FB IV, Math., Inf., Naturwiss., Univ. Hildesheim, 103 S. (1994). MSC: 65D32 41A55 41A80 PDFBibTeX XMLCite \textit{K. Diethelm}, Numerische Approximation von Cauchy-Hauptwert-Integralen unter theoretischen und rechnerorientierten Aspekten. Hildesheim: FB IV, Math., Inf., Naturwiss., Univ. Hildesheim (1994; Zbl 0833.65014)
Boyd, John P. Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations. (English) Zbl 0845.76066 J. Sci. Comput. 9, No. 1, 81-106 (1994). Reviewer: W.Velte (Würzburg) MSC: 76M25 76R50 65M70 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Sci. Comput. 9, No. 1, 81--106 (1994; Zbl 0845.76066) Full Text: DOI
Yu, De-Hao The numerical computation of hypersingular integrals and its application in BEM. (English) Zbl 0806.65016 Adv. Eng. Softw. 18, No. 2, 103-109 (1993). Reviewer: J.Elschner (Berlin) MSC: 65D32 65N38 41A55 PDFBibTeX XMLCite \textit{D.-H. Yu}, Adv. Eng. Softw. 18, No. 2, 103--109 (1993; Zbl 0806.65016) Full Text: DOI
Venturino, Ezio An unconventional algorithm for singular integral equations. (English) Zbl 0798.65124 J. Comput. Appl. Math. 49, No. 1-3, 329-337 (1993). Reviewer: J.Elschner (Berlin) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{E. Venturino}, J. Comput. Appl. Math. 49, No. 1--3, 329--337 (1993; Zbl 0798.65124) Full Text: DOI
Largillier, Alain; Levet, Mauricio A note on a collectively compact approximation for weakly singular integral operators. (English) Zbl 0782.65156 Appl. Math. Lett. 6, No. 4, 87-90 (1993). MSC: 65R20 45P05 45E10 PDFBibTeX XMLCite \textit{A. Largillier} and \textit{M. Levet}, Appl. Math. Lett. 6, No. 4, 87--90 (1993; Zbl 0782.65156) Full Text: DOI
Venturino, Ezio Simple quadrature for singular integrals. (English) Zbl 0782.65041 J. Integral Equations Appl. 5, No. 2, 257-276 (1993). Reviewer: S.Filippi (Gießen) MSC: 65D32 65R20 30E20 45E05 PDFBibTeX XMLCite \textit{E. Venturino}, J. Integral Equations Appl. 5, No. 2, 257--276 (1993; Zbl 0782.65041) Full Text: DOI
Rathsfeld, A. Iterative solution of linear systems arising from the Nyström method for the double-layer potential equation over curves with corners. (English) Zbl 0781.65107 Math. Methods Appl. Sci. 16, No. 6, 443-455 (1993). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 65F10 31A10 45E10 PDFBibTeX XMLCite \textit{A. Rathsfeld}, Math. Methods Appl. Sci. 16, No. 6, 443--455 (1993; Zbl 0781.65107) Full Text: DOI
Rathsfeld, A. Finite section method for the double layer potential operator over polyhedral boundaries. (English) Zbl 0812.65102 Math. Nachr. 157, 7-14 (1992). Reviewer: D.Palagachev (Sofia) MSC: 65N38 65R20 35C15 45E10 35J05 PDFBibTeX XMLCite \textit{A. Rathsfeld}, Math. Nachr. 157, 7--14 (1992; Zbl 0812.65102) Full Text: DOI
Dagnino, Catterina; Santi, Elisabetta On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation. (English) Zbl 0688.65020 Computing 43, No. 3, 267-276 (1990). Reviewer: W.Moldenhauer MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{C. Dagnino} and \textit{E. Santi}, Computing 43, No. 3, 267--276 (1990; Zbl 0688.65020) Full Text: DOI
Delves, L. M.; Mohamed, J. L. Computational methods for integral equations. (English) Zbl 0662.65111 Cambridge etc.: Cambridge University Press. xii, 376 p., £15.00/pbk; $ 24.95/pbk (1988). MSC: 65R20 65-02 65D32 45B05 45C05 45Exx 45J05 PDFBibTeX XMLCite \textit{L. M. Delves} and \textit{J. L. Mohamed}, Computational methods for integral equations. Cambridge etc.: Cambridge University Press (1988; Zbl 0662.65111)
Micke, A. Lösung linearer Fredholmscher Integralgleichungen mit Kernen vom Greenschen Typ. (Linear Fredholm integral equations with Green’s function type kernel). (German) Zbl 0615.65131 Z. Angew. Math. Mech. 67, 37-48 (1987). Reviewer: G.Hämmerlin MSC: 65R20 65D32 45B05 45E10 PDFBibTeX XMLCite \textit{A. Micke}, Z. Angew. Math. Mech. 67, 37--48 (1987; Zbl 0615.65131) Full Text: DOI
Cook, R.; Delves, L. M.; Phillips, C. Discontinuities across element interfaces in the global element method. (English) Zbl 0623.65115 Numer. Methods Partial Differ. Equations 2, 259-272 (1986). Reviewer: G.Stoyan MSC: 65N30 35J05 35J25 PDFBibTeX XMLCite \textit{R. Cook} et al., Numer. Methods Partial Differ. Equations 2, 259--272 (1986; Zbl 0623.65115) Full Text: DOI
Feldstein, Alan; Turner, Peter Overflow, underflow, and severe loss of significance in floating-point addition and subtraction. (English) Zbl 0593.65029 IMA J. Numer. Anal. 6, 241-251 (1986). MSC: 65G50 68N99 PDFBibTeX XMLCite \textit{A. Feldstein} and \textit{P. Turner}, IMA J. Numer. Anal. 6, 241--251 (1986; Zbl 0593.65029) Full Text: DOI
Jankowski, M.; Woźniakowski, H. The accurate solution of certain continuous problems using only single precision arithmetic. (English) Zbl 0623.65030 BIT 25, 635-651 (1985). Reviewer: F.Hofmann MSC: 65D32 65G50 65F10 PDFBibTeX XMLCite \textit{M. Jankowski} and \textit{H. Woźniakowski}, BIT 25, 635--651 (1985; Zbl 0623.65030) Full Text: DOI
Delves, L. M.; Mohamed, J. L. Computational methods for integral equations. (English) Zbl 0592.65093 Cambridge etc.: Cambridge University Press. XII, 376 p. £35.00; $ 69.50 (1985). Reviewer: G.Hämmerlin MSC: 65R20 65-02 65D32 45B05 45C05 45Exx 45J05 PDFBibTeX XML Full Text: DOI
Delves, L. M. Subtraction techniques for reservoir problems. (English) Zbl 0519.65074 Numerical mathematics, Proc. 9th South Afr. Symp., Durban 1983, 11-23 (1983). MSC: 65Z05 76S05 35J25 65N06 65N30 65N50 PDFBibTeX XML
Markov, Svetoslav M. Extended interval arithmetic and calculus for interval functions of a real variable. (Bulgarian) Zbl 0526.65035 God. Sofij. Univ., Fak. Mat. Mekh. 71(1976/77), Part I, 131-168 (1982). MSC: 65G30 26E25 03H15 26E35 PDFBibTeX XMLCite \textit{S. M. Markov}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 71, Part I, 131--168 (1982; Zbl 0526.65035)
Mohanty, S. G. On some computational aspects of rectangular probabilities. (English) Zbl 0514.62032 Nonparametric statistical inference, Budapest 1980, Vol. II, Colloq. Math. Soc. Janos Bolyai 32, 597-617 (1982). MSC: 65C30 62G10 62E15 62G30 62E99 PDFBibTeX XML
Feldstein, Alan; Goodman, Richard Loss of significance in floating point subtraction and addition. (English) Zbl 0478.65028 IEEE Trans. Comput. 31, 328-335 (1982). MSC: 65G50 68N99 PDFBibTeX XMLCite \textit{A. Feldstein} and \textit{R. Goodman}, IEEE Trans. Comput. 31, 328--335 (1982; Zbl 0478.65028) Full Text: DOI
Watanuki, O.; Ercegovac, M. D. Floating-point on-line arithmetic: Algorithms. (English) Zbl 0543.68036 Computer arithmetic, Proc. 5th Symp., Ann Arbor/Mich. 1981, 81-86 (1981). MSC: 68Q99 65G99 PDFBibTeX XML
Anselone, P. M. Singularity subtraction in the numerical solution of integral equations. (English) Zbl 0477.65095 J. Aust. Math. Soc., Ser. B 22, 408-418 (1981). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{P. M. Anselone}, J. Aust. Math. Soc., Ser. B 22, 408--418 (1981; Zbl 0477.65095) Full Text: DOI
Tretter, Marietta J.; Walster, G. W. Analytic subtraction applied to the incomplete gamma and beta functions. (English) Zbl 0459.65005 SIAM J. Sci. Stat. Comput. 1, 321-326 (1980). MSC: 65D20 65B10 33B15 PDFBibTeX XMLCite \textit{M. J. Tretter} and \textit{G. W. Walster}, SIAM J. Sci. Stat. Comput. 1, 321--326 (1980; Zbl 0459.65005) Full Text: DOI
Markov, S. M. Some applications of extended interval arithmetic to interval iterations. (English) Zbl 0436.65023 Fundamentals of numerical computation (computer-oriented analysis), Conf. Berlin 1979, Comput. Suppl. 2, 69-84 (1980). MSC: 65G30 65H10 PDFBibTeX XML
Eccarius, Wolfgang Alexander von Humboldts Bemühungen um Additionslogarithmen. (German) Zbl 0422.01009 NTM, Schriftenr. Gesch. Naturwiss. Techn. Med. 16, No. 1, 30-42 (1979). MSC: 01A50 65-03 PDFBibTeX XMLCite \textit{W. Eccarius}, NTM, Schriftenr. Gesch. Naturwiss. Tech. Med. 16, No. 1, 30--42 (1979; Zbl 0422.01009)
Markov, Svetoslav M. A non-standard subtraction of intervals. (English) Zbl 0429.65039 Serdica 3, 359-370 (1977). MSC: 65G30 PDFBibTeX XMLCite \textit{S. M. Markov}, Serdica 3, 359--370 (1977; Zbl 0429.65039)