Journal: SIAM J. Scientific Computing

Volume 26, Issue 6

1811 -- 1837Robert Michael Lewis, Stephen G. Nash. Model Problems for the Multigrid Optimization of Systems Governed by Differential Equations
1838 -- 1851Ernst Hairer, Gustaf Söderlind. Explicit, Time Reversible, Adaptive Step Size Control
1852 -- 1870Fu-Rong Lin, Michael K. Ng, Wai-Ki Ching. Factorized Banded Inverse Preconditioners for Matrices with Toeplitz Structure
1871 -- 1893M. Garbey. Acceleration of the Schwarz Method for Elliptic Problems
1894 -- 1915Nicholas K.-R. Kevlahan, Oleg V. Vasilyev. An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers
1916 -- 1931Xiao-Wen Chang, Christopher C. Paige, Christian C. J. M. Tiberius. Computation of a Test Statistic in Data Quality Control
1932 -- 1954Yuri A. Kuznetsov, H. G. E. Meijer. Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues
1955 -- 1988Takeshi Ogita, Siegfried M. Rump, Shin ichi Oishi. Accurate Sum and Dot Product
1989 -- 2009J. Liesen, Zdenek Strakos. GMRES Convergence Analysis for a Convection-Diffusion Model Problem
2010 -- 2028Weizhu Bao, Jie Shen. A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates
2029 -- 2046Eberhard Bänsch, Frank Haußer, Axel Voigt. Finite Element Method for Epitaxial Growth with Thermodynamic Boundary Conditions
2047 -- 2065Shinichiro Ohnuki, Weng Cho Chew. Error Minimization of Multipole Expansion
2066 -- 2078Yong-Kang Zhu, Jun-Hai Yong, Guo-Qin Zheng. A New Distillation Algorithm for Floating-Point Summation
2079 -- 2101Shi Jin, Xin Wen. Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations
2102 -- 2132Darko Volkov, Demetrios T. Papageorgiou, Peter G. Petropoulos. Accurate and Efficient Boundary Integral Methods for Electrified Liquid Bridge Problems
2133 -- 2159Gregory Beylkin, Martin J. Mohlenkamp. Algorithms for Numerical Analysis in High Dimensions
2160 -- 2175Stéphane Labbé. Fast Computation for Large Magnetostatic Systems Adapted for Micromagnetism
2176 -- 0Dionissios T. Hristopulos. Erratum: Spartan Gibbs Random Field Models for Geostatistical Applications

Volume 26, Issue 5

1449 -- 1484Steinar Evje, Tore Flåtten. Weakly Implicit Numerical Schemes for a Two-Fluid Model
1485 -- 1503Volker John, Songul Kaya. A Finite Element Variational Multiscale Method for the Navier-Stokes Equations
1504 -- 1524Elena Braverman, Moshe Israeli, Amir Averbuch. A Hierarchical 3-D Direct Helmholtz Solver by Domain Decomposition and Modified Fourier Method
1525 -- 1546Jian-Xin Xu, Rui Yan, Weinian Zhang. An Algorithm for Melnikov Functions and Application to a Chaotic Rotor
1547 -- 1572William D. Henshaw. On Multigrid for Overlapping Grids
1573 -- 1597Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Luke Olson. Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation
1598 -- 1619Eric de Sturler, Jörg Liesen. Block-Diagonal and Constraint Preconditioners for Nonsymmetric Indefinite Linear Systems. Part I: Theory
1620 -- 1642Prabhu Ramachandran, S. C. Rajan, M. Ramakrishna. A Fast Multipole Method for Higher Order Vortex Panels in Two Dimensions
1643 -- 1666Weizhang Huang. Measuring Mesh Qualities and Application to Variational Mesh Adaptation
1667 -- 1691Vincent Martin, Jérôme Jaffré, Jean E. Roberts. Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
1692 -- 1709Zhaojun Bai, Yangfeng Su. Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
1710 -- 1724Zhong-Zhi Bai, Michael K. Ng. On Inexact Preconditioners for Nonsymmetric Matrices
1725 -- 1743Derya B. Özyurt, Paul I. Barton. Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals
1744 -- 1759Markus Klingler, Peter Leinen, Harry Yserentant. The Finite Mass Method on Domains with Boundary
1760 -- 1775Amir F. Atiya, Steve A. K. Metwally. Efficient Estimation of First Passage Time Density Function for Jump-Diffusion Processes
1776 -- 1795Sven Beuchler. Extension Operators on Tensor Product Structures in Two and Three Dimensions
1796 -- 1809Xudong Yao, Jianxin Zhou. A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE

Volume 26, Issue 4

1089 -- 1113Sergio Blanes, Chris J. Budd. Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance
1114 -- 1145Ivo Babuska, Börje Andersson. The Splitting Method as a Tool for Multiple Damage Analysis
1146 -- 1165Burak Aksoylu, Andrei Khodakovsky, Peter Schröder. Multilevel Solvers for Unstructured Surface Meshes
1166 -- 1191Manuel Torrilhon. Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations
1192 -- 1213Zhimin Zhang, Ahmed Naga. A New Finite Element Gradient Recovery Method: Superconvergence Property
1214 -- 1233Aly-Khan Kassam, Lloyd N. Trefethen. Fourth-Order Time-Stepping for Stiff PDEs
1234 -- 1260Takeshi Iwashita, Yuuichi Nakanishi, Masaaki Shimasaki. Comparison Criteria for Parallel Orderings in ILU Preconditioning
1261 -- 1288Sven Groß, Arnold Reusken. Parallel Multilevel Tetrahedral Grid Refinement
1289 -- 1313Peter Buchholz, Tugrul Dayar. Block SOR Preconditioned Projection Methods for Kronecker Structured Markovian Representations
1314 -- 1339Donald J. Estep, Michael Holst, Mats Larson. Generalized Green s Functions and the Effective Domain of Influence
1340 -- 1368Norberto Mangiavacchi, Antonio Castelo, Murilo F. Tomé, José A. Cuminato, Maria Luísa Bambozzi de Oliveira, Sean McKee. An Effective Implementation of Surface Tension Using the Marker and Cell Method for Axisymmetric and Planar Flows
1369 -- 1388S. S. Ravindran. Real-Time Computational Algorithm for Optimal Control of an MHD Flow System
1389 -- 1404H. Cheng, Zydrunas Gimbutas, P. G. Martinsson, Vladimir Rokhlin. On the Compression of Low Rank Matrices
1405 -- 1414Ernesto G. Birgin, Marcos Raydan. Robust Stopping Criteria for Dykstra s Algorithm
1415 -- 1431Huazhong Tang, Gerald Warnecke. A Class of High Resolution Difference Schemes for Nonlinear Hamilton-Jacobi Equations with Varying Time and Space Grids

Volume 26, Issue 3

737 -- 761Qiang Du, Desheng Wang. Anisotropic Centroidal Voronoi Tessellations and Their Applications
762 -- 784Loyce Adams, Timothy P. Chartier. A Comparison of Algebraic Multigrid and Geometric Immersed Interface Multigrid Methods for Interface Problems
785 -- 809Christiane Helzel, Marsha J. Berger, Randall J. LeVeque. A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
810 -- 820Eduardo F. D Azevedo, O. E. Bronson Messer, Anthony Mezzacappa, M. Liebendörfer. An ADI-Like Preconditioner for Boltzmann Transport
821 -- 843Jennifer K. Ryan, Chi-Wang Shu, Harold Atkins. Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem
844 -- 863Zhong-Zhi Bai, Gene H. Golub, Linzhang Lu, Jun-Feng Yin. Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
864 -- 884Gary Cohen, Sandrine Fauqueux. Mixed Spectral Finite Elements for the Linear Elasticity System in Unbounded Domains
885 -- 906Louis F. Rossi. Achieving High-Order Convergence Rates with Deforming Basis Functions
907 -- 929Jianxian Qiu, Chi-Wang Shu. Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters
930 -- 943Indranil Chowdhury, Vikram Jandhyala. Single Level Multipole Expansions and Operators for Potentials of the Form r:::-Lambda:::
944 -- 962Karen Willcox, Alexandre Megretski. Fourier Series for Accurate, Stable, Reduced-Order Models in Large-Scale Linear Applications
963 -- 978Jeff R. Cash. A Variable Step Runge-Kutta-Nyström Integrator for Reversible Systems of Second Order Initial Value Problems
979 -- 999Lorenzo Pareschi, Gabriella Puppo, Giovanni Russo. Central Runge-Kutta Schemes for Conservation Laws
1000 -- 1011Ruth M. Holland, Andy J. Wathen, Gareth J. Shaw. Sparse Approximate Inverses and Target Matrices
1012 -- 1035Fabio Di Benedetto, Claudio Estatico, Stefano Serra Capizzano. Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring
1036 -- 1056Yana Di, Ruo Li, Tao Tang, Pingwen Zhang. Moving Mesh Finite Element Methods for the Incompressible Navier-Stokes Equations
1057 -- 1088Weizhu Bao, Fangfang Sun. Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System

Volume 26, Issue 2

0 -- 0Roger G. Ghanem, Steven F. Wojtkiewicz. Special Issue on Uncertainty Quantification
359 -- 374Yang Cao, Linda R. Petzold. A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method
375 -- 394Olivier P. Le Maitre, M. T. Reagan, Bert J. Debusschere, Habib N. Najm, Roger G. Ghanem, Omar M. Knio. Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions
395 -- 410Christian Soize, Roger Ghanem. Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
411 -- 447Rafail V. Abramov, Andrew J. Majda. Quantifying Uncertainty for Non-Gaussian Ensembles in Complex Systems
448 -- 466Dave Higdon, Marc Kennedy, James C. Cavendish, John A. Cafeo, Robert D. Ryne. Combining Field Data and Computer Simulations for Calibration and Prediction
467 -- 487Michael Goldstein, Jonathan Rougier. Probabilistic Formulations for Transferring Inferences from Mathematical Models to Physical Systems
488 -- 509V. Buyarov, Jesús Sánchez-Dehesa, Andrei Martínez-Finkelshtein, J. F. Sánchez-Lara. Computation of the Entropy of Polynomials Orthogonal on an Interval
510 -- 522Christian H. Bischof, H. Martin Bücker, Arno Rasch. Sensitivity Analysis of Turbulence Models Using Automatic Differentiation
523 -- 536Oscar Chinellato, Erwin Achermann, Oliver Bröker. Including Covariances in Calibration to Obtain Better Measurement Uncertainty Estimates
537 -- 557Sam Subbey, Mike Christie, Malcolm Sambridge. The Impact of Uncertain Centrifuge Capillary Pressure on Reservoir Simulation
558 -- 577Zhiming Lu, Dongxiao Zhang. A Comparative Study on Uncertainty Quantification for Flow in Randomly Heterogeneous Media Using Monte Carlo Simulations and Conventional and KL-Based Moment-Equation Approaches
578 -- 590Xiaoliang Wan, Dongbin Xiu, George E. Karniadakis. Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation
591 -- 612Laurent Granvilliers, Jorge Cruz, Pedro Barahona. Parameter Estimation Using Interval Computations
613 -- 624James Lu, David L. Darmofal. Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design
625 -- 635Daniel M. Tartakovsky, Alberto Guadagnini. Effective Properties of Random Composites
636 -- 652A. M. Sauer-Budge, J. Peraire. Computing Bounds for Linear Functionals of Exact Weak Solutions to the Advection-Diffusion-Reaction Equation
653 -- 665Jacob Barhen, Vladimir Protopopescu, David B. Reister. Consistent Uncertainty Reduction in Modeling Nonlinear Systems
666 -- 697James Glimm, John W. Grove, Yonghee Kang, Taewon Lee, Xiaolin Li, David H. Sharp, Yan Yu, Kenny Ye, Ming Zhao. Statistical Riemann Problems and a Composition Law for Errors in Numerical Solutions of Shock Physics Problems
698 -- 719Bert J. Debusschere, Habib N. Najm, Philippe P. Pébay, Omar M. Knio, Roger G. Ghanem, Olivier P. Le Maitre. Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
720 -- 735Didier Lucor, George E. Karniadakis. Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators

Volume 26, Issue 1

1 -- 30M. Lukácová-Medvid ová, K. W. Morton, G. Warnecke. Finite Volume Evolution Galerkin Methods for Hyperbolic Systems
31 -- 54Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Luke Olson. Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs
55 -- 85Stefano Serra Capizzano, Cristina Tablino Possio. Multigrid Methods for Multilevel Circulant Matrices
86 -- 104Shuang Zhang, Jian Chen, Norman J. Zabusky. Turbulent Decay and Mixing of Accelerated Inhomogeneous Flows Via a Feature Based Analysis
105 -- 127Randolph E. Bank, Shaoying Lu. A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigm
128 -- 151Jeanne A. Atwell, Belinda B. King. Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition
152 -- 177Rommel Bustinza, Gabriel N. Gatica. A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions
178 -- 195Johan Hoffman. On Duality-Based A Posteriori Error Estimation in Various Norms and Linear Functionals for Large Eddy Simulation
196 -- 223Matthias Kunik, Shamsul Qamar, Gerald Warnecke. A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations
224 -- 239Daniela Calvetti, Lothar Reichel. Tikhonov Regularization with a Solution Constraint
240 -- 258Yvon Maday, Einar M. Rønquist. The Reduced Basis Element Method: Application to a Thermal Fin Problem
259 -- 271Bertil Gustafsson, Eva Mossberg. Time Compact High Order Difference Methods for Wave Propagation
272 -- 293Bertil Gustafsson, Per Wahlund. Time Compact Difference Methods for Wave Propagation in Discontinuous Media
294 -- 312L. J. Gray, A. V. Phan, T. Kaplan. Boundary Integral Evaluation of Surface Derivatives
313 -- 338Zhenyue Zhang, Hongyuan Zha. Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
339 -- 357Michael Mascagni, Nikolai A. Simonov. Monte Carlo Methods for Calculating Some Physical Properties of Large Molecules