Journal: SIAM J. Numerical Analysis

Volume 51, Issue 4

1875 -- 1899Michael Herty, Lorenzo Pareschi, Sonja Steffensen. Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems
1900 -- 1910Eskil Hansen, Erik Henningsson. A Convergence Analysis of the Peaceman-Rachford Scheme for Semilinear Evolution Equations
1911 -- 1932Jie Liu. Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations
1933 -- 1958Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas. A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems
1959 -- 1977Buyang Li, Weiwei Sun. Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
1978 -- 2004Jianjun Liu, Li-Qun Cao, Ningning Yan. Multiscale Asymptotic Analysis and Computation of Optimal Control for Elliptic Systems with Constraints
2005 -- 2035Dominik Schötzau, Christoph Schwab, Thomas P. Wihler. hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence
2036 -- 2062Rüdiger Frey, Thorsten Schmidt, Ling Xu. On Galerkin Approximations for the Zakai Equation with Diffusive and Point Process Observations
2063 -- 2087Marcio Gameiro, Jean-Philippe Lessard. Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates
2088 -- 2106Iain Smears, Endre Süli. Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients
2107 -- 2122Hao Ji, Michael Mascagni, Yaohang Li. Convergence Analysis of Markov Chain Monte Carlo Linear Solvers Using Ulam-von Neumann Algorithm
2123 -- 2148Jérémi Dardé, Antti Hannukainen, Nuutti Hyvönen. An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems
2149 -- 2165Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, James H. Verner. Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order
2166 -- 2188Huangxin Chen, Peipei Lu, Xuejun Xu. A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
2189 -- 2213Tanja Göckler, Volker Grimm. Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators
2214 -- 2237K. Liu, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, L. Tang. Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations
2238 -- 2259Hui Liang, Hermann Brunner. Integral-Algebraic Equations: Theory of Collocation Methods I
2260 -- 2282Z. W. Yang, H. Brunner. Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations
2283 -- 2308K. Kumar, Iuliu Sorin Pop, Florin A. Radu. Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium
2309 -- 2330Omar Lakkis, Anotida Madzvamuse, Chandrasekhar Venkataraman. Implicit-Explicit Timestepping with Finite Element Approximation of Reaction-Diffusion Systems on Evolving Domains
2331 -- 2356Zhiming Chen, Xueshuang Xiang. A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
2357 -- 2379Assyr Abdulle, Ping Lin, Alexander V. Shapeev. 1, INFINITY Error Analysis of a QC Method for Complex Lattices
2380 -- 2402Ana Alonso Rodríguez, Enrico Bertolazzi, Riccardo Ghiloni, Alberto Valli. Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems
2403 -- 2425Patricio Farrell, Holger Wendland. RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems
2426 -- 2447Claude Jeffrey Gittelson. Convergence Rates of Multilevel and Sparse Tensor Approximations for a Random Elliptic PDE
2448 -- 2469Takahito Kashiwabara. Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type
2470 -- 2490Sean O. Settle, Craig C. Douglas, Imbunm Kim, Dongwoo Sheen. On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions