Siam J Numer Anal

Siam J Numer Anal
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The SIAM Journal on Numerical Analysis (SINUM; until 1965: Journal of the Society for Industrial & Applied Mathematics, Series B: Numerical Analysis) is a peer-reviewed mathematical journal published by the Society for Industrial and Applied Mathematics [1] that covers research on the analysis of numerical methods.
SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms and their accuracy, stability, and computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm ...
ISO 4 abbr.: SIAM J. Numer. Anal. issn: 0036-1429 (print); 1095-7170 (online) Volume 63: 2025 Volume 62: 2024 Volume 61: 2023 Volume 60: 2022 Volume 59: 2021 Volume 58: 2020 Volume 57: 2019 Volume 56: 2018 Volume 55: 2017 Volume 54: 2016 Volume 53: 2015 Volume 52: 2014 Volume 51: 2013 Volume 50: 2012 Volume 49: 2011 Volume 48: 2010 Volume 47: ...
The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or magneto-quasistatics, and their efficient and accurate simulation is required for the reliable design, control, and optimization of such devices. We study the numerical solution of the vector potential formulation of nonlinear magnetostatics by means of higher-order finite element ...
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Various nonlinear Schwarz domain decomposition methods were proposed to solve the one-dimensional equidistribution principle in [M. J. Gander and R. D. Haynes, SIAM J. Numer. Anal., 50 (2012), pp. 2111-2135]. A corrected proof of convergence for the linearized Schwarz algorithm presented in section 3.2, under additional hypotheses, is presented ...
In particular, the proposed method and analysis in this paper extend the long-time energy error analysis of the Stokes--Darcy system in Chen et al. [SIAM J. Numer. Anal., 51 (2013), pp. 2563--2584; Numer. Math., 134 (2016), pp. 857--879] to general symmetrized and decoupled BDF methods up to order 6 by using the generating function technique.
Siam Journal On Numerical Analysis期刊简介 SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity.
Abstract. This paper is concerned with the numerical approximation of quantities of interest associated with solutions to parametric elliptic PDEs. The key novelty of this work is in its focus on the quantities of interest represented by continuously Gâteaux differentiable nonlinear functionals. We consider a class of parametric elliptic PDEs where the underlying differential operator has ...
Abstract. We study the convergence of discretization schemes for the adjoint equation arising in the adjoint-based derivative computation for optimal boundary control problems governed by entropy solutions of conservation laws with source term. As boundary control we consider piecewise continuously differentiable controls with possible discontinuities at switching times, where the smooth parts ...
Abstract. The radiative transfer equation (RTE) has been established as a fundamental tool for the description of energy transport, absorption, and scattering in many relevant societal applications and requires numerical approximations. However, classical numerical algorithms scale unfavorably with respect to the dimensionality of such radiative transfer problems, where solutions depend on ...
10. W. Dai, An unconditionally stable three-level explicit difference scheme for the Schrödinger equation with a variable coefficient, SIAM. J. Numer. Anal., 29 (1992), pp. 174-181. Abstract Web of Science Google Scholar
P. Henning and D. Peterseim, Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: Global convergence and computational efficiency, SIAM J. Numer. Anal., 58 (2020), pp. 1744-1772.
Abstract. In this paper, we propose a numerical study of macroscopic models for collective cell migration, focusing on a multidimensional pressureless Euler-type model with nonlocal interactions coupled with chemotaxis, rigorously derived from microscopic dynamics. Different mechanical interactions are investigated, including attraction-repulsion effects. Moreover, the model is extended to the ...
11. M. Chen and L. Ling, Extrinsic meshless collocation methods for PDEs on manifolds, SIAM J. Numer. Anal., 58 (2020), pp. 988-1007. Abstract Web of Science Google Scholar
Bruno LB and Erb W Polynomial interpolation of function averages on interval segments SIAM J. Numer. Anal. 2024 62 4 1759-1781
First-order system least squares (FOSLS) was developed in [ SIAM J. Numer. Anal., 34 (1997), pp. 1727--1741] for Stokes and elasticity equations and the idea of two-dimensional variable rotation is extended to three dimensions to make the intervariable coupling subdominant (uniformly so in the Poisson ratio for elasticity).
F. Brezzi, K. Lipnikov, M. Shashkov, Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes, SIAM J. Numer. Anal. 43 (5) (2005) 1872-1896.
Banica V, Maierhofer G, and Schratz K Numerical integration of Schrödinger maps via the Hasimoto transform SIAM J. Numer. Anal. 2022 62 1 322-352
SIAM J. Numer. Anal. 43 (2005) 1363-1384. [37] J. Yang, W. Zhao and T. Zhou, A unified probabilistic discretization scheme for FBSDEs: stability, consistency, and convergence analysis. SIAM J. Numer. Anal. 58 (2020) 2351-2375. [38] J. Yong and X. Y. Zhou, Stochastic controls: Hamiltonian systems and HJB equations.
SIAM J. Control Optim. 45 (2006) 1198-1221. | MR | Zbl | DOI [30] M. Hintermüller and C. N. Rautenberg, A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints.
The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We pr
SIAM J. Numer. Anal. 28 (1991) 1350-1385. [21] E.-M. Ouhabaz, Analysis of heat equations on domains. In Vol. 31 of London Mathematical Society Monographs. Princeton University Press (2009). [22] A. Pazy, Semigroups of linear operators and applications to partial differential equations. Vol. 44 of Applied Mathematical Sciences.
在本篇論文中，我們主要研究二維穩態不可壓縮那維爾-史托克問題在給定速度邊界值情況下的最小平方有限元素法之片狀線性數值解。首先引入兩個新未知函數〝旋度和總壓力〞後，將那維爾-史托克問題分別改寫成〝速度-旋度-壓力〞和〝速度-旋度-總壓力〞兩個一階偏微分方程組。接著我們引用L2 ...
[42] J.-M. Mirebeau, Riemannian fast-marching on cartesian grids, using voronoi's first reduction of quadratic forms. SIAM J. Numer. Anal. 57 (2019) 2608-2655. | MR | Zbl | DOI [43] A. M. Oberman, Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton-Jacobi equations and free boundary problems. SIAM J. Numer.
SIAM J. Numer. Anal. 58, 66-85 (2020) Article MathSciNet Google Scholar Lablée, O.: Spectral Theory in Riemannian Geometry. EMS Press, Zuerich, Switzerland (2015) Book Google Scholar Lang, A., Motschan-Armen, I.: Euler-maruyama approximations of the stochastic heat equation on the sphere, Journal of Computational. Dynamics 11, 23-42 (2024)
Bartels S Total variation minimization with finite elements: convergence and iterative solution SIAM J. Numer. Anal. 2012 50 3 1162-1180
[24] Steinbach, Olaf A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics, J. Math. Anal. Appl., Volume 294 (2004) no. 1, pp. 1-6 | DOI [25] Steinbach, Olaf; Windisch, Markus Modified combined field integral equations for electromagnetic scattering, SIAM J. Numer. Anal.,
Dennis JE Jr and Walker HF Convergence theorems for least-change secant update methods SIAM J. Numer. Anal. 1981 18 949-987
R. Bürger, K. H. Karlsen, and J. D. Towers, An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections, SIAM J. Numer.
Anal. 15(3), 595\u2013602 (1978)","journal-title":"SIAM J. Numer. Anal."},{"key":"1775_CR26","unstructured":"Lewis, A., Overton, M.: Partial smoothness of the numerical radius at matrices whose fields of values are disks.
P.L. Lions, B. Mercier, Splitting algorithms for the sum of two nonlinear operators, SIAM J. Numer. Anal. 16 (1979) 964-979.
SIAM J. Optim. 25 (2015) 159-184. | MR | Zbl | DOI [3] S. Adly and V. N. Huynh, Quasi-Newton methods for solving nonsmooth equations: generalized Dennis-Moré theorem and Broyden's update.
The primary goal of this article is to propose an efficient virtual element method formulation for solving a two-dimensional time-fractional Emden-Fowler model. The virtual element technique is a generalization of the finite element approach to polygonal and polyhedral meshes in the Galerkin approximation framework. A fully discrete virtual element scheme is obtained by using a fractional ...
Article Full-text available Aug 2012 SIAM J NUMER ANAL Shiyuan Gu Thirupathi Gudi Susanne C. Brenner Li-yeng Sung
在Math Comp，SIAM J Numer Anal, SIAM J Sci Comput，J Comput Phys，Commun Comput Phys, IMA J Numer Anal，Sci China Math等国内外专业期刊上发表学术研究论文六十余篇，其中15篇入选ESI高被引论文，2023-2025年入选全球前2%顶尖科学家年度榜单，2025年入选Clarivate全球高被引研究者榜单。
This paper is concerned with the problem of an acoustic wave scattering in a locally perturbed periodic structure. As the total wavefield is non-quasi-periodic, effective truncation techniques are pursued for high-accuracy numerical solvers. We adopt the Green's function for the background periodic structure to construct a boundary integral equation (BIE) on an artificial curve enclosing the ...
SIAM J. Numer. Anal. 2018 TLDR This paper presents a new high-order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero level of a level set function and derives optimal order $H^1 (\Gamma)$-norm error bounds. Expand 85 PDF 1 Excerpt
SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity.
In this paper, we explore a direct parallel-in-time method based on the diagonalization of the time-stepping matrix to solve the Kawarada equation, which arises from the quenching combustion process. Unlike the traditional time-marching finite difference method, where a nonlinear system may need to be solved at each time step once implicit schemes are employed, here, we form a large sparse ...
In this paper, we present some important approximation properties of Chebyshev polynomials in the Legendre norm. We mainly discuss the Chebyshev interpolation operator at the Chebyshev-Gauss-Lobatto points. The cases of single domain and multidomain for both one dimension and multi-dimensions are considered, respectively. The approximation results in Legendre norm rather than in the ...
SIAM J. Numer. Anal. 2013 TLDR A guaranteed and globally efficient upper bound is achieved, as well as robustness with respect to nonlinearities, advection dominance, domain size, final time, and absolute and relative size of space and time steps. Expand 47 Highly Influential PDF 5 Excerpts
Siam Journal on Numerical Analysis Journal Abbreviation: SIAM J NUMER ANAL Journal ISSN: 0036-1429 The SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational ...
SIAM Journal on Numerical Analysis contains research articleson the development and analysis of numerical methods including theirconvergence, stability, and err...
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Similar to the algorithm for discrepancy approximation of Winker and Fang [SIAM J. Numer. Anal. 34 (1997), 2028--2042] it is based on the optimization algorithm threshold accepting.
学术期刊 SIAM Journal on Numerical Analysis，期刊 ISSN: 0036-1429, 1095-7170。SIAM JOURNAL ON NUMERICAL ANALYSIS (SINUM) 包含有关数值方法开发和分析的研究文章。主题包括对算法收敛性、准确性、稳定性和计算复杂性的严格研究。还包括有助于算法分析的数学分析结果，以及展示算法行为和适用性的计算结果。 期刊 ...
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Siam J. Numer Anal's 10 research works with 554 citations and 1,107 reads, including: Least-Squares Finite-Element Solution Of The Neutron Transport Equation In Diffusive Regimes
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Abbreviation The IS0 4 standard abbreviation of SIAM Journal on Numerical Analysis is SIAM J. Numer. Anal.. This abbreviation ('SIAM J. Numer. Anal.') is well recommended and approved for the purpose of indexing, abstraction, referencing and citing goals. It meets all the essential criteria of ISO 4 standard.
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