Found 94 Documents (Results 1–94)
Constructing solutions of Cauchy type integral equations by using four kinds of basis. (English) Zbl 1525.45003
Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants. (English) Zbl 1524.41081
Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions. (English) Zbl 07618952
Asymptotic evaluation of a lattice sum associated with the Laplacian matrix. (English) Zbl 1513.41042
Reviewer: Richard A. Zalik (Auburn)
\(\text{PVTSI}^{(m)}\): a novel approach to computation of Hadamard finite parts of nonperiodic singular integrals. (English) Zbl 1510.65054
Introduction of the numerical methods in quantum calculus with uncertainty. (English) Zbl 1501.34002
Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions. (English) Zbl 1472.65031
Calcolo 58, No. 2, Paper No. 22, 24 p. (2021); correction ibid. 58, No. 2, Paper No. 27, 1 p. (2021).
Asymptotics of generalized partial theta functions with a Dirichlet character. (English) Zbl 1488.41081
Reviewer: Włodzimierz Łenski (Poznań)
A Generalization of Classical Formulas in Numerical Integration and Series Convergence Acceleration. arXiv:2106.07621
Preprint, arXiv:2106.07621 [math.NA] (2021).
PVTSI\(^{\boldmath(m)}\): A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals. arXiv:2102.06476
Preprint, arXiv:2102.06476 [math.NA] (2021).
Applied scientific computing. XV: Innovative modeling and simulation in sciences. (English) Zbl 1510.65006
Two-point Ostrowski and Ostrowski-Grüss type inequalities with applications. (English) Zbl 1448.26026
MSC:
26D15
An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials. (English) Zbl 1461.11043
Asymptotic expansions of the error for hyper-singular integrals with an interval variable. (English) Zbl 1330.65043
Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability. (English) Zbl 1300.41018
Spectral action for a one-parameter family of Dirac operators on \(\mathrm{SU}(2)\) and \(\mathrm{SU}(3)\). (English) Zbl 1286.83069
Compact numerical quadrature formulas for hypersingular integrals and integral equations. (English) Zbl 1264.65033
Reviewer: Alexandru Mihai Bica (Oradea)
Approximating trigonometric functions with sums of generalized binomial coefficients. (English) Zbl 1360.41013
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities. (English) Zbl 1271.30011
Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities. (English) Zbl 1329.41041
Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula. (English) Zbl 1207.65003
Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. (English) Zbl 1209.65031
Reviewer: Antonio López-Carmona (Granada)
Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. (English) Zbl 1198.65048
Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018
Reviewer: Alicia Cachafeiro López (Vigo)
Further extension of a class of periodizing variable transformations for numerical integration. (English) Zbl 1161.65019
Reviewer: Ana-Maria Acu (Sibiu)
A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration. (English) Zbl 1133.65013
Numerical integration over smooth surfaces in \(\mathbb R^3\) via class \(\mathcal Y_m\) variable transformations. II: Singular integrands. (English) Zbl 1159.65315
Extension of a class of periodizing variable transformations for numerical integration. (English) Zbl 1103.65029
Reviewer: J. N. Lyness (Argonne)
Numerical integration over smooth surfaces in \(\mathbb R^3\) via class \(\mathcal I_{m}\) variable transformations. I: Smooth integrands. (English) Zbl 1086.65022
Reviewer: Dan Bārbosu (Baia Mare)
Analysis of Atkinson’s variable transformation for numerical integration over smooth surfaces in \(\mathbb R^{3}\). (English) Zbl 1082.65030
Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective. (English) Zbl 1081.65003
Reviewer: J. N. Lyness (Argonne)
Asymptotics of finite element Lagrange interpolation under the action of an integral operator. (English) Zbl 0993.65020
Cruz Lopez de Silanes, Maria (ed.) et al., Actes des 6èmes journées Zaragoza-Pau de mathématiques appliquées et de statistiques. Pau: Publications de Université de Pau et Pays de l’Adour, PUP. 151-158 (2001).
The Euler-Maclaurin and Taylor formulas: Twin, elementary derivations. (English) Zbl 1018.41020
Reviewer: Rudolf Wegmann (Garching)
MSC:
41A58
Stirling’s approximation for \(n!\): The ultimate short proof? (English) Zbl 0983.11078
Reviewer: H.J.Godwin (Egham)
The asymptotic behaviour of a sequence considered by I. J. Schoenberg. (English) Zbl 0977.41015
Reviewer: S.M.Mazhar (Kuwait)
Difference equations with applications to queues. (English) Zbl 0963.39001
Pure and Applied Mathematics, Marcel Dekker. 233. New York, NY: Marcel Dekker. xi, 246 p. (2000).
Reviewer: Lothar Berg (Rostock)
The Euler-Maclaurin formula in presence of a logarithmic singularity. (English) Zbl 0942.65002
Reviewer: J.Illán González (Vigo)
Hybrid Gauss-trapezoidal quadrature rules. (English) Zbl 0933.41019
Reviewer: J.Kofroň (Praha)
A distributional summation formula of Euler-Maclaurin type in two variables. (Spanish. English summary) Zbl 0944.41018
Reviewer: Yuri Luchko (Berlin)
Asymptotic expansions for trapezoidal type product integration rules. (English) Zbl 0930.65012
Reviewer: D.Acu (Sibiu)
Low-temperature expansions and the Euler-Maclaurin formula. (English) Zbl 1057.82512
MSC:
82B80
82B23
The theory of cubature formulas. (English) Zbl 0877.65009
Mathematics and its Applications (Dordrecht). 415. Dordrecht: Kluwer Academic Publishers. xxi, 416 p. (1997).
Cubature formulas. (Кубатурные формулы.) (Russian) Zbl 0859.65013
Novosibirsk: Izdatel’stvo Instituta Matematiki SO RAN. 484 p. (1996).
Reviewer: Gennadij Demidenko (Novosibirsk)
\(p\)-adic Euler-Maclaurin expansions. (English) Zbl 0867.65024
Reviewer: N.Ţăndăreanu (Craiova)
Extension and completion of Wynn’s theory on convergence of columns of the epsilon table. (English) Zbl 0858.41011
Reviewer: V.Burjan (Praha)
MSC:
41A21
Asymptotics and extrapolation. (English) Zbl 0872.41014
Mathematical Research. 88. Berlin: Akademie Verlag. 330 p. (1996).
Reviewer: J.Gilewicz (Marseille)
Asymptotics and extrapolation. (English) Zbl 0852.65002
Mathematical Research. 88. Berlin: Akademie Verlag. 330 p. DM 120.00 (1996).
Reviewer: P.Wynn (Mexico)
Euler-Maclaurin expansions for lattices above dimension one. (English. Abridged French version) Zbl 0838.52018
Proof of a conjectured asymptotic expansion for the approximation of surface integrals. (English) Zbl 0811.65020
Reviewer: J.Elschner (Berlin)
Extensions of Bernoulli polynomials and Euler-Maclaurin formulae. (Chinese. English summary) Zbl 0778.11013
An Euler-Maclaurin type asymptotic series expansion of the sum of \(\sum ^{+\infty}_{n=2}(-1)^ n/\ln \,n\). (English) Zbl 0729.40002
Reviewer: L.Tóth (Cluj)
Evaluation of multidimensional linear zeta-functions. (English) Zbl 0703.11038
Reviewer: H.Müller
Numerical mathematics. I. 5., verb. Aufl. (Numerische Mathematik 1. Eine Einführung - unter Berücksichtigung von Vorlesungen von F. L. Bauer.) (German) Zbl 0681.65001
Reviewer: G.Maeß
MSC:
65-01
15-04
65B05
65B15
65D05
65D32
65F05
65F20
65F25
65F35
65F50
65G50
65H05
65H10
65D07
41-04
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. (English) Zbl 0662.65122
Reviewer: M.Schleiff
Euler and Maclaurin made easy. (English) Zbl 0649.41016
Reviewer: T.Šalát
Some reflections on multidimensional Euler and Poisson summation formulas. (English) Zbl 0578.65002
Multivariate approximation theory III, Proc. Conf., Oberwolfach/Ger. 1985, ISNM 75, 166-179 (1985).
Extensions of asymptotic expansions from chapter 15 of Ramanujan’s second notebook. (English) Zbl 0571.41027
Asymptotic expansion formula with the exact remainder concerning the integral \(\int f(x,{Nx})dx\). (English) Zbl 0526.41026
Asymptotic expansion formula with remainder concerning the integral \(\int f(x,\{Nx\})dx\). (English) Zbl 0518.41029
Chin. Ann. Math., Ser. A (to appear).
Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge. (English) Zbl 0533.41026
Reviewer: N.M.Temme
Introduction to the theory of computing methods. Interpolation and integration. (Nachala teorii vychislitel’nykh metodov. Interpolirovanie i integrirovanie). (Russian) Zbl 0525.65004
Institut Matematiki AN BSSR. Belorusskij Gosudarstvennyj Universitet im. V. I. Lenina. Minsk: “Nauka i Tekhnika”. 288 p. R. 2.10 (1983).
A new method of deriving the asymptotic expansion of the integral \(\int f(x,\{\lambda x\}) dx\) and its remainder estimates. (English) Zbl 0515.41026
MSC:
41A60
Einführung in die Numerische Mathematik, I (unter Berücksichtigung von Vorlesungen von F. L. Bauer), 4., verb. Aufl. (German) Zbl 0513.65001
Heidelberger Taschenbücher, 105. Berlin etc.: Springer-Verlag. XII, 297 S. DM 26.00; $ 10.40 (1983).
MSC:
65-01
65B05
65B15
65D05
65D32
65F05
65F20
65F25
65F35
65G50
65H05
65H10
65D07
15-04
41-04
65-04
Asymptotic expansions for the sum of the series used in sequential analysis. (English) Zbl 0498.62068
Asymptotische Behandlung von Eigenwertproblemen mit Variationsmethoden und eine Anwendung auf finite Elemente. (Dissertation). (German) Zbl 0472.65081
Fakultät für Mathematik der Ludwig-Maximilians-Universität München. 154 S. (1980).
Introduction to numerical analysis. Volume I. (Wstȩp do metod numerycznych. Tom I). Transl. from the German by Ewa Gurbiel. (Polish) Zbl 0553.65003
Warszawa: Państwowe Wydawnictwo Naukowe (PWN). 236 p. (1979).
MSC:
65-01
15-04
41-04
65-04
65B05
65B15
65D05
65D07
65D32
65F05
65F20
65F25
65F35
65G50
65H05
65H10
New Euler-Maclaurin expansions and their application to quadrature over the s-dimensional simplex. (English) Zbl 0442.65002
Di uno sviluppo tyloriano bilatero di una funzione analitica su intervallo finito, note le derivate di tutti gli ordini negli estremi. Una correlata espressione in serie del corrispondente integrale definito. (Italian) Zbl 0448.41015
MSC:
41A58
An introduction to the calculus of finite differences and difference equations. Unabridged and corrected republication. (English) Zbl 0141.27701
New York: Dover Publications, Inc. viii, 167 p. (1966).
Éléments de mathématique. Fasc. XII. Première partie. Livre IV: Fonctions d’une variable réelle (théorie élémentaire). Chap. 4, 5, 6 et 7: Equations différentielles. Étude locale des fonctions. Développements tayloriens généralisés. Formule sommatoire d’Euler-Maclaurin. La fonction gamma. 2ième ed. corrigée. (French) Zbl 0131.05001
Actualités Scientifiques et Industrielles. 1132. Paris: Hermann & Cie. 200 p. (1961).
An introduction to the calculus of finite differences and difference equations. (English) Zbl 0089.29002
New York: Holt, Rinehart and Winston, Inc. viii, 167 p. (1960).
Reviewer: G. Doetsch
Filter Results by …
Document Type
- Journal Articles (77)
- Collection Articles (2)
- Books (13)
- arXiv Preprints (2)
all
top 5
Author
- Sidi, Avram (20)
- Miller, John Boris (4)
- Lampret, Vito (3)
- Stoer, Josef (3)
- Wang, Xinghua (3)
- Berndt, Bruce Carl (2)
- Celorrio, Ricardo (2)
- Ivan, Mircea Dumitru (2)
- Lyness, James N. (2)
- Miller, Kenneth S. (2)
- Sayas, Francisco-Javier (2)
- Sobolev, Sergeĭ L’vovich (2)
- Vaskevich, Vladimir Leont’evich (2)
- Verlinden, Pierre (2)
- Walz, Guido (2)
- Abel, Ulrich (1)
- Actor, Alfred Arthur (1)
- Alabdulmohsin, Ibrahim M. (1)
- Allahviranloo, Tofigh (1)
- Alomari, Mohammad Wajeeh (1)
- Alpert, Bradley K. (1)
- Aptekarev, Alexander Ivanovich (1)
- Bauer, Friedrich Ludwig (1)
- Beyki, M. R. (1)
- Bobkov, Vladimir Vasilevich (1)
- Bond, R. A. B. (1)
- Bourbaki, Nicolas (1)
- Boysal, Arzu (1)
- Buscher, Austin (1)
- Cappell, Sylvain E. (1)
- Carillo, Sandra (1)
- Castoldi, Luigi (1)
- Cen, Zhongdi (1)
- Chen, Chaoping (1)
- Chen, Chong (1)
- Conti, Costanza (1)
- Cools, Ronald (1)
- Darboux, Gaston (1)
- de Doncker, Elise (1)
- Dehesa, Jesús S. (1)
- Domínguez, Víctor (1)
- Draziotis, Konstantinos A. (1)
- Ecevit, Fatih (1)
- Estrada, Ricardo (1)
- Evans, Ronald J. (1)
- Fikioris, George (1)
- Freeden, Willi (1)
- Gavrea, Ioan (1)
- Gonnet, Gaston H. (1)
- Grosjean, Carl C. (1)
- Han, Xuefeng (1)
- Hu, Su (1)
- Huang, Jin (1)
- Israeli, Moshe (1)
- Jagerman, David L. (1)
- Kim, Minsoo (1)
- Koepf, Wolfram A. (1)
- Krylov, Vladimir Ivanovich (1)
- Lai, Alan (1)
- Le Floch, Yohann (1)
- Lupaş, Alexandru (1)
- Ma, Yanying (1)
- Mansutti, Daniela (1)
- Martínez-Finkelshtein, Andrei (1)
- Masjed-Jamei, Mohammad (1)
- McIntosh, Richard J. (1)
- Mizuta, Hideyuki (1)
- Monastyr’nyĭ, Petr Il’ich (1)
- Muthumalai, Ramesh Kumar (1)
- Nabeya, Seiji (1)
- Noeiaghdam, Zahra (1)
- Osipov, V. R. (1)
- Pelayo, Alvaro (1)
- Pitolli, Francesca (1)
- Popa, Dumitru (1)
- Riedel, Roland (1)
- Romik, Dan (1)
- Santos, Juan Carlos (1)
- Serra, Ottavio (1)
- Shaneson, Julius L. (1)
- Spangler, Norbert (1)
- Spitaleri, Rosa Maria (1)
- Srivastava, Hari Mohan (1)
- Tao, Qingsheng (1)
- Teh, Kevin (1)
- Tošić, Dobrilo Đ. (1)
- Ulate, Carlos Ml. (1)
- Wadati, Miki (1)
- Xu, Aimin (1)
- Yaghobifar, M. (1)
- Yáñez, Rafael J. (1)
- Yıldırım, Cem Yalçın (1)
all
top 5
Serial
- Math. Comput. (6)
- Appl. Math. Comput. (4)
- J. Sci. Comput. (4)
- Calcolo (3)
- Numer. Math. (3)
- Anal. Math. (2)
- J. Approx. Theory (2)
- J. Comput. Appl. Math. (2)
- J. Number Theory (2)
- Constr. Approx. (2)
- Aequationes Math. (2)
- J. Anal. (2)
- Math. Res. (Berlin) (2)
- Am. Math. Mon. (1)
- Int. J. Math. Educ. Sci. Technol. (1)
- J. Math. Anal. Appl. (1)
- J. Math. Phys. (1)
- Pi Mu Epsilon J. (1)
- Math. Mag. (1)
- BIT (1)
- J. Comput. Syst. Sci. (1)
- J. Reine Angew. Math. (1)
- Math. Comput. Simul. (1)
- Math. Sci. (1)
- Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. Fiz. (1)
- Result. Math. (1)
- Simon Stevin (1)
- Rend. Semin. Mat., Torino (1)
- Adv. Appl. Math. (1)
- Quad. Mathesis Cosenza (1)
- J. Math. Res. Expo. (1)
- Chin. Ann. Math., Ser. A (1)
- Comput. Math. Math. Phys. (1)
- J. Aust. Math. Soc., Ser. A (1)
- J. Stat. Comput. Simulation (1)
- Proc. R. Soc. Edinb., Sect. A, Math. (1)
- Rend. Semin. Fac. Sci. Univ. Cagliari (1)
- Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg, Math.-Naturwiss. R. (1)
- C. R. Acad. Sci., Paris, Sér. I (1)
- Indag. Math., New Ser. (1)
- Appl. Math., J. Chin. Univ. (1)
- SIAM J. Sci. Comput. (1)
- Divulg. Mat. (1)
- Bull. Sci. Math. (1)
- Ramanujan J. (1)
- Abstr. Appl. Anal. (1)
- J. Inequal. Appl. (1)
- Int. J. Appl. Math. (1)
- J. Phys. Soc. Japan (1)
- Math. Appl., Dordr. (1)
- Pure Appl. Math., Marcel Dekker (1)
- Appl. Anal. Discrete Math. (1)
- Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM (1)
- Resal J. (3) (1)
- J. Math. Model. (1)
- Gaz. Mat., Ser. A (1)
- Prikl. Diskretn. Mat. (1)
- Springer-Lehrb. (1)
all
top 5
Year of Publication
- 2024 (1)
- 2023 (2)
- 2022 (3)
- 2021 (6)
- 2020 (3)
- 2019 (1)
- 2018 (1)
- 2017 (1)
- 2016 (3)
- 2015 (1)
- 2014 (1)
- 2013 (3)
- 2012 (4)
- 2010 (1)
- 2009 (3)
- 2008 (1)
- 2007 (1)
- 2006 (2)
- 2005 (2)
- 2004 (1)
- 2001 (2)
- 2000 (3)
- 1999 (2)
- 1998 (2)
- 1997 (2)
- 1996 (5)
- 1995 (2)
- 1994 (1)
- 1992 (1)
- 1991 (2)
- 1990 (1)
- 1989 (1)
- 1988 (1)
- 1987 (1)
- 1985 (4)
- 1984 (3)
- 1983 (7)
- 1982 (2)
- 1980 (3)
- 1979 (3)
- 1978 (1)
- 1966 (1)
- 1961 (1)
- 1960 (1)
- 1876 (1)
all
top 3
Main Field
- 41-XX (81)
- 65-XX (68)
- 40-XX (19)
- 11-XX (15)
- 30-XX (6)
- 33-XX (6)
- 39-XX (5)
- 45-XX (5)
- 47-XX (5)
- 26-XX (4)
- 15-XX (3)
- 34-XX (3)
- 42-XX (3)
- 46-XX (2)
- 52-XX (2)
- 60-XX (2)
- 00-XX (1)
- 05-XX (1)
- 13-XX (1)
- 14-XX (1)
- 22-XX (1)
- 35-XX (1)
- 44-XX (1)
- 53-XX (1)
- 62-XX (1)
- 68-XX (1)
- 81-XX (1)
- 82-XX (1)
- 83-XX (1)
- 85-XX (1)
- 94-XX (1)