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  • 1
    Publication Date: 2012-08-21
    Description:    A low-order mimetic finite difference method for Reissner–Mindlin plate problems is considered. Together with the source problem, the free vibration and the buckling problems are investigated. Details about the scheme implementation are provided, and the numerical results on several different types of meshes are reported. Content Type Journal Article Pages 1-29 DOI 10.1007/s10092-012-0065-1 Authors Lourenço Beirão da Veiga, Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milan, Italy Carlo Lovadina, Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy David Mora, Departamento de Matemática, Universidad del Bío-Bío, Casilla 5-C, Concepción, Chile Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
    Print ISSN: 0008-0624
    Electronic ISSN: 1126-5434
    Topics: Mathematics
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  • 2
    Publication Date: 2012-08-21
    Description:    In this paper, a kinetic method to compute approximative solutions of the one-dimensional open channel flow equations with a varying cross-sectional area and a varying bottom profile is proposed. The scheme preserves the steady states at rest, keeps the water height non-negative and is able to handle dry channel beds. These three properties are essential indicators for the quality of a numerical scheme. The ability of the scheme to treat varying cross-sectional areas along the channel is an important advancement in comparison to previous papers. Further the same equations are considered on a network by coupling the equations at the nodes. The main difference to the majority of common numerical hydraulic models is the usage of the energy equality as coupling condition which seems to be more realistic than conditions based on the water height. Moreover, we set up a numerical method for computing subcritical flow on such networks. Several examples are treated to illustrate the results. Content Type Journal Article Pages 1-28 DOI 10.1007/s10092-012-0066-0 Authors Arne Roggensack, Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 3
    Publication Date: 2012-08-21
    Description:    In this paper we investigate block SSOR multisplittings. When the coefficient matrix is a block H-matrix or a (generalized) block strictly diagonally dominant matrix, the convergence of the parallel block SSOR multisplitting method for solving nonsingular linear systems is proved. Two numerical examples are given to illustrate the theoretical results. Content Type Journal Article Pages 1-15 DOI 10.1007/s10092-012-0067-z Authors G. Cao, Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210097 People’s Republic of China Y. Huang, Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210097 People’s Republic of China Y. Song, Jiangsu Key Laboratory for NSLSCS, Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210097 People’s Republic of China Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 4
    Publication Date: 2012-10-19
    Description:    In this paper, we present a family of optimal, in the sense of Kung–Traub’s conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun’s fourth-order method. We use the Ostrowski’s efficiency index and several numerical tests in order to compare the new methods with other known eighth-order ones. We also extend this comparison to the dynamical study of the different methods. Content Type Journal Article Pages 1-14 DOI 10.1007/s10092-012-0073-1 Authors A. Cordero, Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain M. Fardi, Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran M. Ghasemi, Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, Iran J. R. Torregrosa, Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 5
    Publication Date: 2012-07-16
    Description:    The main purpose of this paper is to give the numerical integration scheme for a fast Petrov–Galerkin method for solving the generalized airfoil equation, considered in a recent paper (Cai, J. Complex. 25:420–436, 2009 ). This scheme leads to a fully discrete sparse linear system. We show that it requires a nearly linear computational cost to get this system, and the approximate solution of the resulting linear system preserves the optimal convergent order. Numerical experiments are presented to confirm the theoretical estimates. Content Type Journal Article Pages 1-22 DOI 10.1007/s10092-012-0062-4 Authors Haotao Cai, School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan,  250014 Shandong, China Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 6
    Publication Date: 2012-09-15
    Description:    A jump-diffusion model for the pricing of options leads to a partial integro-differential equation (PIDE). Discretizing the PIDE by certain method, we get a sequence of systems of linear equations, where the coefficient matrices are Toeplitz matrices. In this paper, we decompose the coefficient matrix as the sum of a tridiagonal matrix and a near low-rank matrix, and approximate the near low-rank matrix by low-rank matrices. Then we introduce a stationary iterative method for the approximate systems of linear equations. Comparison of the performance of our algorithm to that proposed in Pang et al. (Linear Algebra Appl. 434:2325–2342, 2011 ) is presented. Content Type Journal Article Pages 1-15 DOI 10.1007/s10092-012-0070-4 Authors Fu-Rong Lin, Department of Mathematics, Shantou University, Shantou, 515063 Guangdong, China Hai-Xia Yang, Department of Mathematics, Shantou University, Shantou, 515063 Guangdong, China Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 7
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    Springer
    In: CALCOLO
    Publication Date: 2012-09-09
    Description:    We give new conditions under which the Drazin inverse of a modified matrix A - CD D B can be expressed in terms of the Drazin inverse of A and its generalized Schur complement Z = D - BA D C , generalizing some recent results in the literature. Content Type Journal Article Pages 1-7 DOI 10.1007/s10092-012-0069-x Authors Dijana Mosić, Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 8
    Publication Date: 2012-07-09
    Description:    A Nyström method is proposed for solving systems of Fredholm integral equations equivalent to special boundary value problems of order 2 s . The stability and the convergence of the proposed procedure is proved. The GMRes method is applied to solve the involved systems of linear equations. Some numerical examples are provided in order to illustrate the accuracy of the method. Content Type Journal Article Pages 1-18 DOI 10.1007/s10092-012-0061-5 Authors Carmelina Frammartino, Department of Mathematics and Computer Science, University of Basilicata, v.le dell’Ateneo lucano 10, 85100 Potenza, Italy Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 9
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    In: CALCOLO
    Publication Date: 2012-04-30
    Description:    Based on the singular value decomposition, we obtain both additive and multiplicative perturbation bounds for the orthogonal projection, which improve some existing results. Furthermore, the Q -norm bounds for additive and multiplicative perturbations of the orthogonal projection are also given. Content Type Journal Article Pages 1-10 DOI 10.1007/s10092-012-0058-0 Authors Bingxiang Li, School of Mathematical Sciences, South China Normal University, Guangzhou, 510631 P.R. China Wen Li, School of Mathematical Sciences, South China Normal University, Guangzhou, 510631 P.R. China Lubin Cui, School of Mathematical Sciences, South China Normal University, Guangzhou, 510631 P.R. China Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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  • 10
    Publication Date: 2012-04-17
    Description:    In this paper we develop isoparametric C 0 interior penalty methods for plate bending problems on smooth domains. The orders of convergence of these methods are shown to be optimal in the energy norm. We also consider the convergence of these methods in lower order Sobolev norms and discuss subparametric C 0 interior penalty methods. Numerical results that illustrate the performance of these methods are presented. Content Type Journal Article Pages 1-33 DOI 10.1007/s10092-012-0057-1 Authors Susanne C. Brenner, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Michael Neilan, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Li-Yeng Sung, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
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    Topics: Mathematics
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