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ORCIDSIAM Journal on Numerical Analysis, Volume 46
Volume 46, Number 1, 2007
- Houman Owhadi, Lei Zhang
:
Homogenization of Parabolic Equations with a Continuum of Space and Time Scales. 1-36 - Olga Drblíková, Karol Mikula:
Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing. 37-60 - Sören Bartels, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of Wave Maps into Spheres. 61-87 - Jun Hu, Zhongci Shi:
Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity. 88-102 - Vasile Gradinaru:
Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids. 103-123 - Benoît Merlet:
LINFINITY- and L2-Error Estimates for a Finite Volume Approximation of Linear Advection. 124-150 - Volker John, William J. Layton, Carolina C. Manica:
Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations. 151-179 - Christian Jansson, Denis Chaykin, Christian Keil:
Rigorous Error Bounds for the Optimal Value in Semidefinite Programming. 180-200 - Javier de Frutos, Bosco García-Archilla, Julia Novo:
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. 201-230 - Xu Da:
Uniform l1 Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence. 231-259 - Zhangxin Chen, Tatyana Y. Savchuk:
Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems. 260-279 - Marios Charalambides, Fabian Waleffe:
Spectrum of the Jacobi Tau Approximation for the Second Derivative Operator. 280-294 - Xiaoying Dai, Aihui Zhou:
Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems. 295-324 - Zheng Ran:
Lie Symmetry Preservation and Shock-Capturing Methods. 325-343 - Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes:
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. 344-364 - T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, Vitalii B. Vasylyk:
Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. 365-396 - Abeer Ali Abushama, Bernard Bialecki:
Modified Nodal Cubic Spline Collocation For Poisson's Equation. 397-418 - Herbert Egger:
Y-Scale Regularization. 419-436 - Erika Hausenblas:
Finite Element Approximation of Stochastic Partial Differential Equations driven by Poisson Random Measures of Jump Type. 437-471 - Yan Gong, Bo Li, Zhilin Li:
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions. 472-495 - Talal Rahman, Petter E. Bjørstad, Xuejun Xu:
The Crouzeix-Raviart FE on Nonmatching Grids with an Approximate Mortar Condition. 496-516 - Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter:
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. 517-543
Volume 46, Number 2, 2008
- Marcus Sarkis, Henrique M. Versieux:
Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients. 545-576 - Massimo Fornasier, Holger Rauhut:
Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints. 577-613 - Lars Diening, Christian Kreuzer:
Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation. 614-638 - Nicolas Besse:
Convergence of a High-Order Semi-Lagrangian Scheme with Propagation of Gradients for the One-Dimensional Vlasov-Poisson System. 639-670 - Mahmoud H. Annaby, Rashad M. Asharabi:
On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems. 671-690 - Adrien Blanchet, Vincent Calvez, José A. Carrillo:
Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model. 691-721 - Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Adaptive Multiprecision Path Tracking. 722-746 - Yaroslav Kondratyuk, Rob P. Stevenson:
An Optimal Adaptive Finite Element Method for the Stokes Problem. 747-775 - Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. 776-804 - Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. 805-831 - Zhewei Dai, Patricia K. Lamm:
Local Regularization for the Nonlinear Inverse Autoconvolution Problem. 832-868 - Denise Aregba-Driollet, Maya Briani, Roberto Natalini:
Asymptotic High-Order Schemes for 2˟2 Dissipative Hyperbolic Systems. 869-894 - Vincent M. Devigne, Iuliu Sorin Pop, C. J. van Duijn, T. Clopeau:
A Numerical Scheme for the Pore-Scale Simulation of Crystal Dissolution and Precipitation in Porous Media. 895-919 - Xuli Han:
Convexity-Preserving Piecewise Rational Quartic Interpolation. 920-929 - Nicholas Hale, Lloyd N. Trefethen:
New Quadrature Formulas from Conformal Maps. 930-948 - Vivette Girault, Shuyu Sun, Mary F. Wheeler, Ivan Yotov:
Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements. 949-979 - Dimitri Breda, Mimmo Iannelli, Stefano Maset, Rossana Vermiglio:
Stability Analysis of the Gurtin-MacCamy Model. 980-995 - Amy L. Bauer, Raphaël Loubère, Burton Wendroff:
On Stability of Staggered Schemes. 996-1011 - Manuel J. Castro, José M. Gallardo, Juan A. López-García, Carlos Parés:
Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws. 1012-1039 - Jesús María Sanz-Serna:
Mollified Impulse Methods for Highly Oscillatory Differential Equations. 1040-1059 - Julián Aguirre, Judith Rivas:
A Spectral Viscosity Method Based on Hermite Functions for Nonlinear Conservation Laws. 1060-1078 - Pinghui Zhuang, Fawang Liu, Vo Anh, Ian W. Turner:
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation. 1079-1095
Volume 46, Number 3, 2008
- Leevan Ling, Robert Schaback:
Stable and Convergent Unsymmetric Meshless Collocation Methods. 1097-1115 - Donald J. Estep, Victor Ginting, David L. Ropp, John N. Shadid, Simon Tavener:
An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. 1116-1146 - S. W. Schoombie, E. Maré:
High Frequency Induced Instability in Nyström Methods for the van der Pol Equation. 1147-1165 - Luca Dieci, Erik S. Van Vleck:
On the Error in QR Integration. 1166-1189 - Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. 1190-1211 - Klaus Böhmer:
On Finite Element Methods for Fully Nonlinear Elliptic Equations of Second Order. 1212-1249 - Bernardo Cockburn, Bo Dong, Johnny Guzmán:
Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes. 1250-1265 - Xiaojun Chen, Sayed Mahmoud:
Implicit Runge-Kutta Methods for Lipschitz Continuous Ordinary Differential Equations. 1266-1280 - Runchang Lin, Zhimin Zhang:
Natural Superconvergence Points in Three-Dimensional Finite Elements. 1281-1297 - Pierre Degond, Jian-Guo Liu, Marie Hélène Vignal:
Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit. 1298-1322 - Vance Faber, Jörg Liesen, Petr Tichý:
The Faber-Manteuffel Theorem for Linear Operators. 1323-1337 - Alfredo Bermúdez, Rodolfo Rodríguez, Pilar Salgado:
A Finite Element Method for the Magnetostatic Problem in Terms of Scalar Potentials. 1338-1363 - Bernardo Cockburn, Johnny Guzmán:
Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data. 1364-1398 - Lubomír Bañas, Sören Bartels, Andreas Prohl:
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. 1399-1422 - Maria Emelianenko, Lili Ju, Alexander Rand:
Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in Rd. 1423-1441 - Ricardo G. Durán, Ariel L. Lombardi:
Error Estimates for the Raviart-Thomas Interpolation Under the Maximum Angle Condition. 1442-1453 - Nailin Du:
Finite-Dimensional Approximation Settings for Infinite-dimensional Moore-Penrose Inverses. 1454-1482 - Qiang Du, Maria Emelianenko:
Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme. 1483-1502 - Bo Yu, Bo Dong:
A Hybrid Polynomial System Solving Method for Mixed Trigonometric Polynomial Systems. 1503-1518 - Josef Dick:
Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order. 1519-1553 - Giuseppe Maria Coclite, Kenneth H. Karlsen, Nils Henrik Risebro:
A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H1 Initial Data. 1554-1579 - Jian Wang, Peter A. Forsyth:
Maximal Use of Central Differencing for Hamilton-Jacobi-Bellman PDEs in Finance. 1580-1601 - Natalia Kopteva:
Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem. 1602-1618 - Eunjung Lee, Thomas A. Manteuffel, C. R. Westphal:
Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities. 1619-1639 - Zhiqiang Cai, Chad R. Westphal:
A Weighted H(div) Least-Squares Method for Second-Order Elliptic Problems. 1640-1651
Volume 46, Number 4, 2008
- Huiyuan Li, Jiachang Sun, Yuan Xu:
Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle. 1653-1681 - Paola Gervasio:
Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations. 1682-1703 - Roland Becker, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. 1704-1731 - Ernesto Mordecki, Anders Szepessy, Raúl Tempone, Georgios E. Zouraris:
Adaptive Weak Approximation of Diffusions with Jumps. 1732-1768 - Eskil Hansen, Alexander Ostermann:
Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations. 1769-1779 - Eric Heinemeyer, Marko Lindner, Roland Potthast:
Convergence and Numerics of a Multisection Method for Scattering by Three-Dimensional Rough Surfaces. 1780-1798 - Eero Vainikko, Gennadi Vainikko:
A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations. 1799-1820 - Fuke Wu, Xuerong Mao:
Numerical Solutions of Neutral Stochastic Functional Differential Equations. 1821-1841 - Julien Salomon, Alexander A. Weiss, Barbara I. Wohlmuth:
Energy-Conserving Algorithms for a Corotational Formulation. 1842-1866 - Thomas Apel, Gunar Matthies:
Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. 1867-1891 - Peter N. Brown, Homer F. Walker, Rebecca Wasyk, Carol S. Woodward:
On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. 1892-1911 - Nathalie Lanson, Jean-Paul Vila:
Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws. 1912-1934 - Nathalie Lanson, Jean-Paul Vila:
Renormalized Meshfree Schemes II: Convergence for Scalar Conservation Laws. 1935-1964 - Haotao Cai, Yuesheng Xu:
A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations. 1965-1984 - Kirill A. Kopotun, Dany Leviatan, A. V. Prymak:
Constrained Spline Smoothing. 1985-1997 - Yan Xu, Chi-Wang Shu:
A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. 1998-2021 - Mechthild Thalhammer:
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations. 2022-2038 - Simone Deparis:
Reduced Basis Error Bound Computation of Parameter-Dependent Navier-Stokes Equations by the Natural Norm Approach. 2039-2067 - Donald J. Estep, Simon Tavener, Tim Wildey:
A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. 2068-2089 - Hyea Hyun Kim:
A BDDC Algorithm for Mortar Discretization of Elasticity Problems. 2090-2111 - Roger P. Pawlowski, Joseph P. Simonis, Homer F. Walker, John N. Shadid:
Inexact Newton Dogleg Methods. 2112-2132 - Hong Wang:
An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow. 2133-2152 - Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund:
Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions. 2153-2168 - Philipp Grohs:
Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity. 2169-2182 - Hoi Ying Wong, Jing Zhao:
An Artificial Boundary Method for American Option Pricing under the CEV Model. 2183-2209
Volume 46, Number 5, 2008
- Jing-Mei Qiu, Chi-Wang Shu:
Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. 2211-2237 - Denis Gaidashev, Dmitry Khmelev:
On Numerical Algorithms for the Solution of a Beltrami Equation. 2238-2253 - Yanping Chen, Nianyu Yi, Wenbin Liu:
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. 2254-2275 - Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu:
Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion. 2276-2308 - Fabio Nobile, Raúl Tempone, Clayton G. Webster:
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. 2309-2345 - Hyea Hyun Kim:
A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization. 2346-2370 - Knut Waagan:
Convergence Rate of Monotone Numerical Schemes for Hamilton-Jacobi Equations with Weak Boundary Conditions. 2371-2392 - Carsten Ebmeyer, W. B. Liu:
Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations. 2393-2410 - Fabio Nobile, Raúl Tempone, Clayton G. Webster:
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. 2411-2442 - Marc Ethier, Yves Bourgault:
Semi-Implicit Time-Discretization Schemes for the Bidomain Model. 2443-2468 - Andreas Prohl:
Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics. 2469-2483 - Axel Klawonn, Oliver Rheinbach, Olof B. Widlund:
An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane. 2484-2504 - Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen:
Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals. 2505-2523 - José Manuel Cascón, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert:
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method. 2524-2550 - Brigitte Bidégaray-Fesquet:
Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations. 2551-2566 - Evgueni E. Ovtchinnikov:
Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue. 2567-2592 - Evgueni E. Ovtchinnikov:
Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation II: Computing Several Extreme Eigenvalues. 2593-2619 - Shlomo Engelberg, Eitan Tadmor:
Recovery of Edges from Spectral Data with Noise - A New Perspective. 2620-2635 - Jin Ma, Jie Shen, Yanhong Zhao:
On Numerical Approximations of Forward-Backward Stochastic Differential Equations. 2636-2661 - Felix Kwok, Hamdi A. Tchelepi:
Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media. 2662-2687 - Xin Wen, Shi Jin:
The l1-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials. 2688-2714 - Nicolas Forcadel:
An Error Estimate for a New Scheme for Mean Curvature Motion. 2715-2741 - Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen:
A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method. 2742-2768
Volume 46, Number 6, 2008
- Luca Formaggia, Alessandro Veneziani, Christian Vergara:
A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics. 2769-2794 - C. Yalçin Kaya, Lyle Noakes:
Leapfrog for Optimal Control. 2795-2817 - Sven Beuchler, Tino Eibner, Ulrich Langer:
Primal and Dual Interface Concentrated Iterative Substructuring Methods. 2818-2842 - Sheng Zhang:
Analysis of Finite Element Domain Embedding Methods for Curved Domains using Uniform Grids. 2843-2866 - Kazufumi Ito, Karl Kunisch:
Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems. 2867-2891 - Gabriel J. Lord, Simon J. A. Malham, Anke Wiese:
Efficient Strong Integrators for Linear Stochastic Systems. 2892-2919 - Elisabetta Carlini, Maurizio Falcone, Nicolas Forcadel, Régis Monneau:
Convergence of a Generalized Fast-Marching Method for an Eikonal Equation with a Velocity-Changing Sign. 2920-2952 - Pascal Getreuer, François G. Meyer:
ENO Multiresolution Schemes with General Discretizations. 2953-2977 - Vera Thümmler:
Numerical Approximation of Relative Equilibria for Equivariant PDEs. 2978-3005 - Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial Extension Operators. Part I. 3006-3031 - Franck Boyer, Florence Hubert:
Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities. 3032-3070 - C. T. Kelley, Li-Zhi Liao, Liqun Qi, Moody T. Chu, Jill P. Reese, C. Winton:
Projected Pseudotransient Continuation. 3071-3083 - Orazgeldy Kurbanmuradov, Karl Sabelfeld:
Convergence of Fourier-Wavelet Models for Gaussian Random Processes. 3084-3112 - Timothy A. Lucas:
Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms. 3113-3135 - Masoumeh Dashti, James C. Robinson:
An A Posteriori Condition on the Numerical Approximations of the Navier-Stokes Equations for the Existence of a Strong Solution. 3136-3150 - Timothy Warburton, Thomas M. Hagstrom:
Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes. 3151-3180 - Daniel Peterseim, Stefan A. Sauter:
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. 3181-3206 - Mark Ainsworth, Richard Rankin:
Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements. 3207-3232 - Mihaela Negreanu:
Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the 1-d Wave Equation. 3233-3263 - Erik G. Boman, Bruce Hendrickson, Stephen A. Vavasis:
Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners. 3264-3284 - David Borwein, Jonathan M. Borwein, Richard E. Crandall:
Effective Laguerre Asymptotics. 3285-3312
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