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