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ORCIDSIAM Journal on Numerical Analysis, Volume 49
Volume 49, Number 1, 2011
- Weidong Chen:
Computation of Fourier Transforms for Noisy Bandlimited Signals. 1-14 - Martin Lenz
, Simplice Firmin Nemadjieu, Martin Rumpf:
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces. 15-37 - Adrien Loseille, Frédéric Alauzet:
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error. 38-60 - Adrien Loseille, Frédéric Alauzet:
Continuous Mesh Framework Part II: Validations and Applications. 61-86 - Garth N. Wells:
Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation. 87-109 - Sören Bartels, Rüdiger Müller, Christoph Ortner:
Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes. 110-134 - Daniele Boffi, Martin Costabel, Monique Dauge, Leszek F. Demkowicz, Ralf Hiptmair:
Discrete Compactness for the p-Version of Discrete Differential Forms. 135-158 - Pavel B. Bochev, Kara Peterson, Christopher M. Siefert:
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations. 159-181 - Nabi Chegini, Rob P. Stevenson:
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results. 182-212 - Jan Hendrik Witte, Christoph Reisinger:
A Penalty Method for the Numerical Solution of Hamilton-Jacobi-Bellman (HJB) Equations in Finance. 213-231 - Robert I. McLachlan, Yajuan Sun, P. S. P. Tse:
Linear Stability of Partitioned Runge-Kutta Methods. 232-263 - Ralf Hiptmair, Andrea Moiola, Ilaria Perugia:
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version. 264-284 - Juho Könnö, Dominik Schötzau, Rolf Stenberg:
Mixed Finite Element Methods for Problems with Robin Boundary Conditions. 285-308 - Victor Kalvin:
Perfectly Matched Layers for Diffraction Gratings in Inhomogeneous Media. Stability and Error Estimates. 309-330 - Snorre H. Christiansen, Tore G. Halvorsen:
A Gauge Invariant Discretization on Simplicial Grids of the Schrödinger Eigenvalue Problem in an Electromagnetic Field. 331-345 - Christoph Ortner, Dirk Praetorius:
On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems. 346-367 - Katharine F. Gurski, Stephen O'Sullivan:
A Stability Study of a New Explicit Numerical Scheme for a System of Differential Equations with a Large Skew-Symmetric Component. 368-386 - Steffen Münzenmaier, Gerhard Starke:
First-Order System Least Squares for Coupled Stokes-Darcy Flow. 387-404 - Irene Kyza, Charalambos G. Makridakis:
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations. 405-426
Volume 49, Number 2, 2011
- Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virtanen:
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems. 427-458 - Jérôme Droniou, Christophe Le Potier:
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle. 459-490 - Ross Ingram:
Finite Element Approximation of Nonsolenoidal, Viscous Flows around Porous and Solid Obstacles. 491-520 - JaEun Ku:
Pointwise Error Estimates for First-Order div Least-Squares Finite Element Methods and Applications to Superconvergence and A Posteriori Error Estimators. 521-540 - Yuan Xu:
On Gauss-Lobatto Integration on the Triangle. 541-548 - Qinian Jin:
A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems. 549-573 - Jianguo Huang, Xuehai Huang, Yifeng Xu:
Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems. 574-607 - Hongjiong Tian, Quanhong Yu, Jiaoxun Kuang:
Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Linear Multistep Methods. 608-618 - Weifeng Qiu, Leszek F. Demkowicz:
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis. 619-641 - Arnulf Jentzen:
Higher Order Pathwise Numerical Approximations of SPDEs with Additive Noise. 642-667 - Young-Ju Lee, Hengguang Li:
On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood-Taylor Elements. 668-691 - Christian Wieners, Barbara I. Wohlmuth:
A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity. 692-710 - Hyesuk K. Lee, Maxim A. Olshanskii, Leo G. Rebholz:
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. 711-732 - Hao Wu, Xu Yang:
A Hybrid Phase Flow Method for Solving the Liouville Equation in a Bounded Domain. 733-754 - JaEun Ku:
Sharp L2-Norm Error Estimates for First-Order div Least-Squares Methods. 755-769 - Michele Benzi, Maxim A. Olshanskii:
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem. 770-788 - Edwin M. Behrens, Johnny Guzmán:
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations. 789-817 - Annalisa Buffa, Judith Rivas, Giancarlo Sangalli, Rafael Vázquez Hernández:
Isogeometric Discrete Differential Forms in Three Dimensions. 818-844 - Jingyue Wang, Bradley J. Lucier:
Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing. 845-868 - Susanne C. Brenner, Michael Neilan:
A C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. 869-892 - Francesc Aràndiga, Antonio Baeza, A. M. Belda, Pep Mulet:
Analysis of WENO Schemes for Full and Global Accuracy. 893-915
Volume 49, Number 3, 2011
- Jean-Luc Guermond, Abner J. Salgado:
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. 917-944 - Cheng Wang, Steven M. Wise:
An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation. 945-969 - Roland Becker, Shipeng Mao:
Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations. 970-991 - Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vexler:
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. 992-1005 - Gerhard Starke, Alexander Schwarz, Jörg Schröder:
Analysis of a Modified First-Order System Least Squares Method for Linear Elasticity with Improved Momentum Balance. 1006-1022 - Siddhartha Mishra, Eitan Tadmor:
Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws. 1023-1045 - Alex H. Barnett, Andrew Hassell:
Boundary Quasi-Orthogonality and Sharp Inclusion Bounds for Large Dirichlet Eigenvalues. 1046-1063 - Wenbin Chen, Max D. Gunzburger, Fei Hua, Xiaoming Wang:
A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System. 1064-1084 - Beatrice Riviere, Noel Walkington:
Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity. 1085-1110 - Brian A. Hagler:
Optimizing Gaussian Quadrature for Positive Definite Strong Moment Functionals. 1111-1126 - Victor Didenko, Johan Helsing:
Stability of the Nyström Method for the Sherman-Lauricella Equation. 1127-1148 - Volker John, Julia Novo:
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. 1149-1176 - Habib Ammari, Hyeonbae Kang, EunJoo Kim, Mikyoung Lim, Kaouthar Louati:
A Direct Algorithm for Ultrasound Imaging of Internal Corrosion. 1177-1193 - Nicola Guglielmi, Christian Lubich:
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. 1194-1209 - Jens Markus Melenk, Stefan A. Sauter:
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation. 1210-1243 - Ilse C. F. Ipsen, C. T. Kelley, S. R. Pope:
Rank-Deficient Nonlinear Least Squares Problems and Subset Selection. 1244-1266 - Luca Formaggia, Anna Scotti:
Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics. 1267-1288 - Felix Kwok:
Optimized Additive Schwarz with Harmonic Extension as a Discretization of the Continuous Parallel Schwarz Method. 1289-1316 - Miodrag S. Petkovic:
Remarks on "On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency". 1317-1319
Volume 49, Number 4, 2011
- Eunjung Lee, Max D. Gunzburger:
Analysis of Finite Element Discretizations of an Optimal Control Formulation of the Image Registration Problem. 1321-1349 - Jun Hu, Yunqing Huang, Shangyou Zhang:
The Lowest Order Differentiable Finite Element on Rectangular Grids. 1350-1368 - Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau:
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. 1369-1396 - Andrei Yevik, Huaizhong Zhao:
Numerical Approximations to the Stationary Solutions of Stochastic Differential Equations. 1397-1416 - Pei Chen:
Hessian Matrix vs. Gauss-Newton Hessian Matrix. 1417-1435 - Anton Arnold, Naoufel Ben Abdallah, Claudia Negulescu:
WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit. 1436-1460 - Michael A. Case, Vincent J. Ervin, Alexander Linke, Leo G. Rebholz:
A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations. 1461-1481 - Joachim Schöberl, René Simon, Walter Zulehner:
A Robust Multigrid Method for Elliptic Optimal Control Problems. 1482-1503 - Jay Gopalakrishnan, Johnny Guzmán:
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity. 1504-1520 - Olaf Steinbach:
A Note on the Stable One-Equation Coupling of Finite and Boundary Elements. 1521-1531 - Max D. Gunzburger, Hyung-Chun Lee, Jangwoon Lee:
Error Estimates of Stochastic Optimal Neumann Boundary Control Problems. 1532-1552 - Charles B. Harris, Richard D. Noren:
Uniform l1 Behavior of a Time Discretization Method for a Volterra Integrodifferential Equation with Convex Kernel; Stability. 1553-1571 - Timo Betcke, Euan A. Spence:
Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering. 1572-1601 - Yidu Yang, Hai Bi:
Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems. 1602-1624 - Yanping Chen, Fenglin Huang, Nianyu Yi, Wenbin Liu:
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations. 1625-1648 - David I. Ketcheson:
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators. 1649-1660 - Josef Dick:
Quasi-Monte Carlo Numerical Integration on Rs: Digital Nets and Worst-Case Error. 1661-1691 - Brittany D. Froese, Adam M. Oberman:
Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge-Ampère Equation in Dimensions Two and Higher. 1692-1714 - Homer F. Walker, Peng Ni:
Anderson Acceleration for Fixed-Point Iterations. 1715-1735
Volume 49, Number 5, 2011
- L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini:
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes. 1737-1760 - Zhiqiang Cai, Xiu Ye, Shun Zhang:
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations. 1761-1787 - Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
Analysis of the DPG Method for the Poisson Equation. 1788-1809 - Vu Hoang Linh, Volker Mehrmann:
Approximation of Spectral Intervals and Leading Directions for Differential-Algebraic Equation via Smooth Singular Value Decompositions. 1810-1835 - F. Jay Breidt, Troy D. Butler, Donald J. Estep:
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis. 1836-1859 - Jiguang Sun:
Iterative Methods for Transmission Eigenvalues. 1860-1874 - Vladimir Druskin, Leonid Knizhnerman, Valeria Simoncini:
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. 1875-1898 - Hanieh Mirzaee, Liangyue Ji, Jennifer K. Ryan, Robert M. Kirby:
Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes. 1899-1920 - Bin Han, Gitta Kutyniok, Zuowei Shen:
Adaptive Multiresolution Analysis Structures and Shearlet Systems. 1921-1946 - Fang Liu, Martin Stynes, Aihui Zhou:
Postprocessed Two-Scale Finite Element Discretizations, Part I. 1947-1971 - G. H. Zheng, T. Wei:
A New Regularization Method for the Time Fractional Inverse Advection-Dispersion Problem. 1972-1990 - Martin Hanke:
Locating Several Small Inclusions in Impedance Tomography from Backscatter Data. 1991-2016 - Jialin Hong, Shuxing Zhai, Jingjing Zhang:
Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity. 2017-2038 - David Doyen, Alexandre Ern:
Analysis of the Modified Mass Method for the Dynamic Signorini Problem with Coulomb Friction. 2039-2056 - Giacomo Dimarco, Lorenzo Pareschi:
Exponential Runge-Kutta Methods for Stiff Kinetic Equations. 2057-2077 - Evgueni E. Ovtchinnikov:
Lehmann Bounds and Eigenvalue Error Estimation. 2078-2102 - Mayte Pérez-Llanos, Julio D. Rossi:
Numerical Approximations for a Nonlocal Evolution Equation. 2103-2123 - Zvi Artstein, C. William Gear, Ioannis G. Kevrekidis, Marshall Slemrod, Edriss S. Titi:
Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion. 2124-2143 - Igor Moret, Paolo Novati:
On the Convergence of Krylov Subspace Methods for Matrix Mittag-Leffler Functions. 2144-2164 - Jiangguo Liu:
Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems. 2165-2181 - Brian Van Koten, Mitchell Luskin:
Analysis of Energy-Based Blended Quasi-Continuum Approximations. 2182-2209
Volume 49, Number 6, 2011
- Philsu Kim, Xiangfan Piao, Sang Dong Kim:
An Error Corrected Euler Method for Solving Stiff Problems Based on Chebyshev Collocation. 2211-2230 - Xiangling Chen, Zhongying Chen, Bin Wu, Yuesheng Xu:
Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations. 2231-2255 - Timothy A. Lucas:
Maximum-Norm Estimates for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms. 2256-2276 - Marcel Bieri:
A Sparse Composite Collocation Finite Element Method for Elliptic SPDEs. 2277-2301 - Ya-nan Zhang, Zhi-Zhong Sun, Hong-wei Wu:
Error Estimates of Crank-Nicolson-Type Difference Schemes for the Subdiffusion Equation. 2302-2322 - Andreas Schröder:
Mixed Finite Element Methods of Higher-Order for Model Contact Problems. 2323-2339 - Maike Löhndorf, Jens Markus Melenk:
Wavenumber-Explicit hp-BEM for High Frequency Scattering. 2340-2363 - Kwang-Yeon Kim:
Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry. 2364-2385 - Jiequan Li, Zhicheng Yang:
Heuristic Modified Equation Analysis on Oscillations in Numerical Solutions of Conservation Laws. 2386-2406 - Mihály Kovács, Stig Larsson, Ali Mesforush:
Finite Element Approximation of the Cahn-Hilliard-Cook Equation. 2407-2429 - Bernhard Beckermann:
An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation. 2430-2450 - Roland Becker, Elodie Estecahandy, David Trujillo:
Weighted Marking for Goal-oriented Adaptive Finite Element Methods. 2451-2469 - Elisabetta Carlini, Nicolas Forcadel, Régis Monneau:
A Generalized Fast Marching Method for Dislocation Dynamics. 2470-2500 - Carsten Carstensen, Dongho Kim, Eun-Jae Park:
A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem. 2501-2523 - M. Dashti, Andrew M. Stuart:
Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem. 2524-2542 - Simon Foucart:
Hard Thresholding Pursuit: An Algorithm for Compressive Sensing. 2543-2563 - Zhiqiang Cai, JaEun Ku:
Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods. 2564-2575 - Heiko Berninger, Ralf Kornhuber, Oliver Sander:
Fast and Robust Numerical Solution of the Richards Equation in Homogeneous Soil. 2576-2597 - YongHoon Kwon, Younhee Lee:
A Second-order Finite Difference Method for Option Pricing Under Jump-diffusion Models. 2598-2617 - David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald:
Strong Stability Preserving Two-step Runge-Kutta Methods. 2618-2639
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