A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions

Jie Shen, Li-Lian Wang, and Huiyuan Li

pp. 1619-1650

Weighted $mathbb{L}^2$-Stability of the Lattice Boltzmann Method

Michael Junk and Wen-An Yong

pp. 1651-1665

Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment

Michael Hintermüller and Michael Hinze

pp. 1666-1683

An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections

Raimund Bürger, Kenneth H. Karlsen, and John D. Towers

pp. 1684-1712

Second Order Runge–Kutta Methods for Itô Stochastic Differential Equations

Andreas Rößler

pp. 1713-1738

Spectral Finite-Element Methods for Parametric Constrained Optimization Problems

Mihai Anitescu

pp. 1739-1759

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

P. Zhuang, F. Liu, V. Anh, and I. Turner

pp. 1760-1781

A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method

B. L. Bihari and P. N. Brown

pp. 1782-1826

Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise

Frank Bauer, Thorsten Hohage, and Axel Munk

pp. 1827-1846

Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling

Torsten Linss

pp. 1847-1862

Analysis of a Space-Time Discretization for Dynamic Elasticity Problems Based on Mass-Free Surface Elements

C. Hager and B. I. Wohlmuth

pp. 1863-1885

Local A Posteriori Error Estimates for Convex Boundary Control Problems

Wenbin Liu and Ningning Yan

pp. 1886-1908

Postprocessing Fourier Galerkin Method for the Navier–Stokes Equations

Yanren Hou and Kaitai Li

pp. 1909-1922

Comparison Principle for a Generalized Fast Marching Method

Nicolas Forcadel

pp. 1923-1951

Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues

A. H. Barnett

pp. 1952-1970

Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems

Santiago Badia and Ramon Codina

pp. 1971-2000

A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs

Claudio Canuto, Timo Tonn, and Karsten Urban

pp. 2001-2022

Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach

Luca Dieci and Luciano Lopez

pp. 2023-2051

DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition

Vivette Girault and Béatrice Rivière

pp. 2052-2089

A Family of $Q_{k+1,k}timesQ_{k,k+1}$ Divergence-Free Finite Elements on Rectangular Grids

Shangyou Zhang

pp. 2090-2107

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

Xianjuan Li and Chuanju Xu

pp. 2108-2131

Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements

Zhiqiang Cai and Shun Zhang

pp. 2132-2156

A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems

Alan Demlow, Omar Lakkis, and Charalambos Makridakis

pp. 2157-2176

Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities

Luigi C. Berselli, Lars Diening, and Michael Růžička

pp. 2177-2202

Higher Order Time Splitting for the Linear Vlasov Equation

Jack Schaeffer

pp. 2203-2223

A Finite Point Method Based on Directional Differences

Longjun Shen, Guixia Lv, and Zhijun Shen

pp. 2224-2242

An Approximate Algorithm for a Kirchhoff Wave Equation

Jemal Peradze

pp. 2243-2268

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

S. M. Wise, C. Wang, and J. S. Lowengrub

pp. 2269-2288

Numerical Approximation for a Superreplication Problem under Gamma Constraints

Olivier Bokanowski, Benjamin Bruder, Stefania Maroso, and Hasnaa Zidani

pp. 2289-2320

Fast Multilevel Augmentation Methods for Solving Hammerstein Equations

Zhongying Chen, Bin Wu, and Yuesheng Xu

pp. 2321-2346

The Quasi-Newton Least Squares Method: A New and Fast Secant Method Analyzed for Linear Systems

Rob Haelterman, Joris Degroote, Dirk Van Heule, and Jan Vierendeels

pp. 2347-2368

Whitney Forms of Higher Degree

Francesca Rapetti and Alain Bossavit

pp. 2369-2386