SIAM Journal on Numerical Analysis ~ Volume 47, Issue 1, 2008-2009 pp. 1-803
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 complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.
Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
Zhendong Luo, Jing Chen, I. M. Navon, and Xiaozhong Yang
pp. 1-19
Data Approximation Using Shape-Preserving Parametric Surfaces
Paolo Costantini and Francesca Pelosi
pp. 20-47
Gegenbauer Tau Methods With and Without Spurious Eigenvalues
Marios Charalambides and Fabian Waleffe
pp. 48-68
Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
Hansjörg Seybold and Rudolf Hilfer
pp. 69-88
Discontinuous Discretization for Least-Squares Formulation of Singularly Perturbed Reaction-Diffusion Problems in One and Two Dimensions
Runchang Lin
pp. 89-108
A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems
Christoph Erath and Dirk Praetorius
pp. 109-135
A BDDC Method for Mortar Discretizations Using a Transformation of Basis
Hyea Hyun Kim, Maksymilian Dryja, and Olof B. Widlund
pp. 136-157
On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier–Stokes Equations
Andreas Prohl
pp. 158-180
B–Series Analysis of Stochastic Runge–Kutta Methods That Use an Iterative Scheme to Compute Their Internal Stage Values
Kristian Debrabant and Anne KvÆrnØ
pp. 181-203
Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
Weihua Deng
pp. 204-226
Rapid Solution of the Wave Equation in Unbounded Domains
L. Banjai and S. Sauter
pp. 227-249
A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model
Wenfang (Wendy) Cheng and Xiaoming Wang
pp. 250-270
A Laguerre–Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
Mejdi Azaiez, Jie Shen, Chuanju Xu, and Qingqu Zhuang
pp. 271-292
Optimal Importance Sampling Parameter Search for Lévy Processes via Stochastic Approximation
Reiichiro Kawai
pp. 293-307
Convergence of the Forward Euler Method for Nonconvex Differential Inclusions
Mattias Sandberg
pp. 308-320
Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems
Mohammad Saleh Tavazoei, Mohammad Haeri, Sadegh Bolouki, and Milad Siami
pp. 321-338
$L^1$-Approximation of Stationary Hamilton–Jacobi Equations
Jean-Luc Guermond and Bojan Popov
pp. 339-362
Fast Marching Methods for Stationary Hamilton–Jacobi Equations with Axis-Aligned Anisotropy
Ken Alton and Ian M. Mitchell
pp. 363-385
New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
Yekaterina Epshteyn and Alexander Kurganov
pp. 386-408
Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis
Erik Burman and Miguel A. Fernández
pp. 409-439
Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere
Q. T. Le Gia and H. N. Mhaskar
pp. 440-466
On the Interpolation Error Estimates for $Q_1$ Quadrilateral Finite Elements
Shipeng Mao, Serge Nicaise, and Zhong-Ci Shi
pp. 467-486
Rehabilitation of the Lowest-Order Raviart–Thomas Element on Quadrilateral Grids
Pavel B. Bochev and Denis Ridzal
pp. 487-507
Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems
E. Burman and B. Stamm
pp. 508-533
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
R. H. W. Hoppe, G. Kanschat, and T. Warburton
pp. 534-550
Modeling of Thermally Assisted Magnetodynamics
L'ubomír Baňas, Andreas Prohl, and Marián Slodička
pp. 551-574
Local Anisotropic Interpolation Error Estimates Based on Directional Derivatives Along Edges
U. Hetmaniuk and P. Knupp
pp. 575-595
Postprocessing Finite-Element Methods for the Navier–Stokes Equations: The Fully Discrete Case
Javier de Frutos, Bosco García-Archilla, and Julia Novo
pp. 596-621
A Bounded Artificial Viscosity Large Eddy Simulation Model
Jeff Borggaard, Traian Iliescu, and John Paul Roop
pp. 622-645
Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids
Andrey Amosov, Mario Ahues, and Alain Largillier
pp. 646-674
The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
Hailiang Liu and Jue Yan
pp. 675-698
Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
Ramon Codina
pp. 699-718
On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals
Daan Huybrechs and Ronald Cools
pp. 719-739
A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems
V. Carey, D. Estep, and S. Tavener
pp. 740-761
Uniform Approximation of Piecewise r-Smooth and Globally Continuous Functions
Leszek Plaskota and Grzegorz W. Wasilkowski
pp. 762-785
Exponential Rosenbrock-Type Methods
Marlis Hochbruck, Alexander Ostermann, and Julia Schweitzer
pp. 786-803
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