Journal: SIAM J. Numerical Analysis

Volume 57, Issue 4

1545 -- 1573Ruchi Guo, Tao Lin. A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
1574 -- 1601Yuan Xu, Qiang Zhang 0018, Chi-Wang Shu, Haijin Wang. 2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
1602 -- 1624Yongyong Cai, Yan Wang. Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime
1625 -- 1648Christoph Reisinger, Yufei Zhang. A Penalty Scheme for Monotone Systems with Interconnected Obstacles: Convergence and Error Estimates
1649 -- 1676Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz. Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods
1677 -- 1696Keegan L. A. Kirk, Tamás L. Horváth, Ayçil Çesmelioglu, Sander Rhebergen. Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains
1697 -- 1722Jeonghun J. Lee, Stephen Shannon, Tan Bui-Thanh, John N. Shadid. Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations
1723 -- 1743Juan Pablo Borthagaray, Patrick Ciarlet Jr.. 1-Norm for the Fractional Laplacian
1744 -- 1769Josef Dick, Michael Feischl, Christoph Schwab. Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification
1770 -- 1788Shixin Xu, Xinfu Chen, Chun Liu, Xingye Yue. Numerical Method for Multi-Alleles Genetic Drift Problem
1789 -- 1814Antti Hannukainen, Jarmo Malinen, Antti Ojalammi. Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems
1815 -- 1841Jianbo Cui, Jialin Hong. Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient
1842 -- 1874José Antonio Carrillo, Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra. The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures
1875 -- 1896Hui Liang, Hermann Brunner. The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
1897 -- 1918Vanja Nikolic, Barbara I. Wohlmuth. A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation
1919 -- 1946Gang Chen 0025, John R. Singler, Yangwen Zhang. An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs
1947 -- 1966Alexander Ostermann, Chiara Piazzola, Hanna Walach. Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations
1967 -- 1986Marvin Knöller, Alexander Ostermann, Katharina Schratz. A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data
1987 -- 2018John W. Barrett 0001, Harald Garcke, Robert Nürnberg. Stable Discretizations of Elastic Flow in Riemannian Manifolds
2019 -- 2042Yuwen Li. Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus