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SIAM Journal on Numerical Analysis

Table of Contents
Volume 46, Issue 1, pp. 1-543

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Homogenization of Parabolic Equations with a Continuum of Space and Time Scales

Houman Owhadi and Lei Zhang

pp. 1-36

Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing

Olga Drblíková and Karol Mikula

pp. 37-60

Finite Element Approximations of Wave Maps into Spheres

Sören Bartels, Xiaobing Feng, and Andreas Prohl

pp. 61-87

Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity

Jun Hu and Zhong-Ci Shi

pp. 88-102

Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids

V. Gradinaru

pp. 103-123

$L^\infty$- and $L^2$-Error Estimates for a Finite Volume Approximation of Linear Advection

Benoit Merlet

pp. 124-150

Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier–Stokes Equations

V. John, W. Layton, and C. C. Manica

pp. 151-179

Rigorous Error Bounds for the Optimal Value in Semidefinite Programming

Christian Jansson, Denis Chaykin, and Christian Keil

pp. 180-200

The Postprocessed Mixed Finite-Element Method for the Navier–Stokes Equations: Refined Error Bounds

Javier de Frutos, Bosco García-Archilla, and Julia Novo

pp. 201-230

Uniform $l^{1}$ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence

Xu Da

pp. 231-259

Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems

Zhangxin Chen and Tatyana Y. Savchuk

pp. 260-279

Spectrum of the Jacobi Tau Approximation for the Second Derivative Operator

Marios Charalambides and Fabian Waleffe

pp. 280-294

Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems

Xiaoying Dai and Aihui Zhou

pp. 295-324

Lie Symmetry Preservation and Shock-Capturing Methods

Zheng Ran

pp. 325-343

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term

Amiya Kumar Pani, Graeme Fairweather, and Ryan I. Fernandes

pp. 344-364

Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space

T. Yu. Bohonova, I. P. Gavrilyuk, V. L. Makarov, and V. Vasylyk

pp. 365-396

Modified Nodal Cubic Spline Collocation For Poisson's Equation

Abeer Ali Abushama and Bernard Bialecki

pp. 397-418

$\mathcal{Y}$-Scale Regularization

Herbert Egger

pp. 419-436

Finite Element Approximation of Stochastic Partial Differential Equations driven by Poisson Random Measures of Jump Type

Erika Hausenblas

pp. 437-471

Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions

Yan Gong, Bo Li, and Zhilin Li

pp. 472-495

The Crouzeix–Raviart FE on Nonmatching Grids with an Approximate Mortar Condition

Talal Rahman, Petter BjØrstad, and Xuejun Xu

pp. 496-516

Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement

I. G. Graham, L. Grasedyck, W. Hackbusch, and S. A. Sauter

pp. 517-543