SIAM Journal on Scientific Computing, Volume 39

Volume 39, Number 1, 2017

Methods and Algorithms for Scientific Computing

• 
  Jeonghun J. Lee, Kent-André Mardal, Ragnar Winther:
  Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model.
• 
  Sebastian Garreis, Michael Ulbrich:
  Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs.
• 
  James Bremer:
  On the Numerical Calculation of the Roots of Special Functions Satisfying Second Order Ordinary Differential Equations.
• 
  Assyr Abdulle, Ondrej Budác:
  A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media.
• 
  Huiyuan Li, Zhimin Zhang:
  Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential.
• 
  Catherine Elizabeth Powell, David J. Silvester, Valeria Simoncini:
  An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.
• 
  Ben Adcock, Jesús Martín-Vaquero, Mark Richardson:
  Resolution-Optimal Exponential and Double-Exponential Transform Methods for Functions with Endpoint Singularities.
• 
  Timo Betcke, Nicolas Salles, Wojciech Smigaj:
  Overresolving in the Laplace Domain for Convolution Quadrature Methods.
• 
  Lidia Aceto, Paolo Novati:
  Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems.
• 
  Liang Yan, Yeonjong Shin, Dongbin Xiu:
  Sparse Approximation using ℓ_1-ℓ2 Minimization and Its Application to Stochastic Collocation.
• 
  Sergey Dolgov, Martin Stoll:
  Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes Equations.
• 
  Lourenço Beirão da Veiga, Luca F. Pavarino, Simone Scacchi, Olof B. Widlund, Stefano Zampini:
  Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners.
• 
  Anshul Gupta:
  Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition.
• 
  Ling Guo, Akil Narayan, Tao Zhou, Yuhang Chen:
  Stochastic Collocation Methods via ℓ₁ Minimization Using Randomized Quadratures.
• 
  Fanhai Zeng, Zhiping Mao, George E. Karniadakis:
  A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities.

Computational Methods in Science and Engineering

• 
  Xiaolin Fan, Jisheng Kou, Zhonghua Qiao, Shuyu Sun:
  A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng-Robinson Equations of State.
• 
  J. H. Adler, D. B. Emerson, Patrick E. Farrell, Scott P. MacLachlan:
  Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems.
• 
  Simone Göttlich, Andreas Potschka, Ute Ziegler:
  Partial Outer Convexification for Traffic Light Optimization in Road Networks.
• 
  Mihai Cucuringu, Radek Erban:
  ADM-CLE Approach for Detecting Slow Variables in Continuous Time Markov Chains and Dynamic Data.
• 
  Max la Cour Christensen, Umberto Villa, Allan Peter Engsig-Karup, Panayot S. Vassilevski:
  Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach.
• 
  Christian Engwer, Johannes Vorwerk, Jakob Ludewig, Carsten H. Wolters:
  A Discontinuous Galerkin Method to Solve the EEG Forward Problem Using the Subtraction Approach.
• 
  Konrad Simon, Sameer Sheorey, David W. Jacobs, Ronen Basri:
  A Hyperelastic Two-Scale Optimization Model for Shape Matching.
• 
  Alexander Veit, L. Ridgway Scott:
  Using the Tensor-Train Approach to Solve the Ground-State Eigenproblem for Hydrogen Molecules.

Software and High-Performance Computing

• 
  Paul Mycek, Francesco Rizzi, Olivier P. Le Maître, Khachik Sargsyan, Karla Morris, Cosmin Safta, Bert J. Debusschere, Omar M. Knio:
  Discrete A Priori Bounds for the Detection of Corrupted PDE Solutions in Exascale Computations.
• 
  Nela Bosner, Lars Karlsson:
  Parallel and Heterogeneous m-Hessenberg-Triangular-Triangular Reduction.
• 
  Yao Zhu, David F. Gleich, Ananth Grama:
  Erasure Coding for Fault-Oblivious Linear System Solvers.

Volume 39, Number 2, 2017

Methods and Algorithms for Scientific Computing

• 
  Jean-Luc Guermond, Bojan Popov, Laura Saavedra, Yong Yang:
  Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements.
• 
  Guoqiao You, Tony Wong, Shingyu Leung:
  Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents.
• 
  Pierre-Henri Cocquet, Martin J. Gander:
  How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?
• 
  Nathaniel Trask, Mauro Perego, Pavel B. Bochev:
  A High-Order Staggered Meshless Method for Elliptic Problems.
• 
  Yingzhou Li, Haizhao Yang:
  Interpolative Butterfly Factorization.
• 
  Arjun Singh Gambhir, Andreas Stathopoulos, Kostas Orginos:
  Deflation as a Method of Variance Reduction for Estimating the Trace of a Matrix Inverse.
• 
  Dennis Denker, Anne Gelb:
  Edge Detection of Piecewise Smooth Functions from UnderSampled Fourier Data Using Variance Signatures.
• 
  Ashish Bhatt, Brian E. Moore:
  Structure-preserving Exponential Runge-Kutta Methods.
• 
  Nicholas J. Higham, Peter Kandolf:
  Computing the Action of Trigonometric and Hyperbolic Matrix Functions.
• 
  Jesse Chan, Timothy C. Warburton:
  GPU-Accelerated Bernstein-Bézier Discontinuous Galerkin Methods for Wave Problems.
• 
  Silvia Gazzola, Yves Wiaux:
  Fast Nonnegative Least Squares Through Flexible Krylov Subspaces.

Computational Methods in Science and Engineering

• 
  Rosemary A. Renaut, Saeed Vatankhah, Vahid E. Ardestani:
  Hybrid and Iteratively Reweighted Regularization by Unbiased Predictive Risk and Weighted GCV for Projected Systems.
• 
  Juan E. Santos, Robiel Martínez Corredor, José M. Carcione:
  Determination of a Transversely Isotropic Medium Equivalent to a Fractured Fluid-Saturated Poroelastic Medium. A Finite Element Approach.
• 
  Meghan O'Connell, Misha E. Kilmer, Eric de Sturler, Serkan Gugercin:
  Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography.
• 
  Chengfeng Weng, Xiaoqun Wang, Zhijian He:
  Efficient Computation of Option Prices and Greeks by Quasi-Monte Carlo Method with Smoothing and Dimension Reduction.
• 
  Laurent White, Rohan Panchadhara, Dimitar Trenev:
  Flow Simulation in Heterogeneous Porous Media With the Moving Least-Squares Method.
• 
  Jeffery M. Allen, Chris Leibs, Tom Manteuffel, Harihar Rajaram:
  A Fluidity-Based First-Order System Least-Squares Method for Ice Sheets.
• 
  Todd Arbogast, Marc A. Hesse, Abraham L. Taicher:
  Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity.
• 
  Chang-Ock Lee, Changmin Nam:
  Primal Domain Decomposition Methods for the Total Variation Minimization, Based on Dual Decomposition.
• 
  Xunnian Yang, Jialin Hong:
  Dynamic Evaluation of Free-Form Curves and Surfaces.
• 
  Christian Bender, Christian Gärtner, Nikolaus Schweizer:
  Iterative Improvement of Lower and Upper Bounds for Backward SDEs.

Software and High-Performance Computing

• 
  Joan Baiges, Camilo Bayona:
  Refficientlib: An Efficient Load-Rebalanced Adaptive Mesh Refinement Algorithm for High-Performance Computational Physics Meshes.
• 
  Per-Gunnar Martinsson, Gregorio Quintana-Ortí, Nathan Heavner, Robert A. van de Geijn:
  Householder QR Factorization With Randomization for Column Pivoting (HQRRP).
• 
  Mark Ainsworth, Christian A. Glusa:
  Is the Multigrid Method Fault Tolerant? The Two-Grid Case.
• 
  Dan Ibanez, Mark S. Shephard:
  Modifiable Array Data Structures for Mesh Topology.
• 
  Eric T. Phipps, Marta D'Elia, H. Carter Edwards, Mark Hoemmen, Jonathan J. Hu, Sivasankaran Rajamanickam:
  Embedded Ensemble Propagation for Improving Performance, Portability, and Scalability of Uncertainty Quantification on Emerging Computational Architectures.
• 
  Santiago Badia, Marc Olm:
  Space-Time Balancing Domain Decomposition.

Volume 39, Number 3, 2017

Methods and Algorithms for Scientific Computing

• 
  Ioannis Toulopoulos, Thomas Wick:
  Numerical Methods for Power-Law Diffusion Problems.
• 
  David Dereudre, Sara Mazzonetto, Sylvie Roelly:
  Exact Simulation of Brownian Diffusions with Drift Admitting Jumps.
• 
  Christoph Erath, Robert Schorr:
  An Adaptive Nonsymmetric Finite Volume and Boundary Element Coupling Method for a Fluid Mechanics Interface Problem.
• 
  Pieter Coulier, Hadi Pouransari, Eric Darve:
  The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems.
• 
  Hadi Pouransari, Pieter Coulier, Eric Darve:
  Fast Hierarchical Solvers For Sparse Matrices Using Extended Sparsification and Low-Rank Approximation.
• 
  Stéphane Lanteri, Claire Scheid, Jonathan Viquerat:
  Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics.
• 
  José Henrique de Morais Goulart, Gérard Favier:
  Low-Rank Tensor Recovery using Sequentially Optimal Modal Projections in Iterative Hard Thresholding (SeMPIHT).
• 
  Shu-Lin Wu, Yingxiang Xu:
  Convergence Analysis of Schwarz Waveform Relaxation with Convolution Transmission Conditions.
• 
  Anna Lischke, Mohsen Zayernouri, George E. Karniadakis:
  A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line.
• 
  Alexander Kurganov, Martina Prugger, Tong Wu:
  Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws.
• 
  Xiaojun Tang, Yang Shi, Heyong Xu:
  Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations.
• 
  Yeonjong Shin, Dongbin Xiu:
  A Randomized Algorithm for Multivariate Function Approximation.
• 
  Ehsan Kharazmi, Mohsen Zayernouri, George E. Karniadakis:
  Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations.
• 
  Thomas A. Höft, Bradley K. Alpert:
  Fast Updating Multipole Coulombic Potential Calculation.
• 
  Elias Jarlebring, Giampaolo Mele, Olof Runborg:
  The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method.
• 
  Jun Zhu, Jianxian Qiu:
  A New Type of Modified WENO Schemes for Solving Hyperbolic Conservation Laws.
• 
  John D. Jakeman, Akil Narayan, Tao Zhou:
  A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions.
• 
  Yuanzhe Xi, Yousef Saad:
  A Rational Function Preconditioner For Indefinite Sparse Linear Systems.
• 
  Felix Anker, Christian Bayer, Martin Eigel, Marcel Ladkau, Johannes Neumann, John Schoenmakers:
  SDE Based Regression for Linear Random PDEs.

Computational Methods in Science and Engineering

• 
  Andrew Myers, Phillip Colella, Brian van Straalen:
  A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov-Poisson Equation.
• 
  Mauricio J. Del Razo, Randall J. LeVeque:
  Numerical Methods for Interface Coupling of Compressible and Almost Incompressible Media.
• 
  Pedro R. S. Antunes, Édouard Oudet:
  Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries.
• 
  Franco Dassi, Patricio Farrell, Hang Si:
  A Novel Surface Remeshing Scheme via Radial Basis Functions and Higher-Dimensional Embedding.
• 
  Vishwas Rao, Adrian Sandu, Michael Ng, Elias David Niño Ruiz:
  Robust Data Assimilation Using L₁ and Huber Norms.
• 
  Y. Sudhakar, Alvise Sommariva, Marco Vianello, Wolfgang A. Wall:
  On the Use of Compressed Polyhedral Quadrature Formulas in Embedded Interface Methods.

Software and High-Performance Computing

• 
  Ang Li, Radu Serban, Dan Negrut:
  Analysis of a Splitting Approach for the Parallel Solution of Linear Systems on GPU Cards.
• 
  Heather Wilber, Alex Townsend, Grady B. Wright:
  Computing with Functions in Spherical and Polar Geometries II. The Disk.

Volume 39, Number 4, 2017

Methods and Algorithms for Scientific Computing

• 
  Francisco José Gaspar, Carmen Rodrigo:
  Multigrid Waveform Relaxation for the Time-Fractional Heat Equation.
• 
  Gerrit Welper:
  Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots.
• 
  Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
  hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes.
• 
  Yat Tin Chow, Tianyu Wu, Wotao Yin:
  Cyclic Coordinate-Update Algorithms for Fixed-Point Problems: Analysis and Applications.
• 
  Maxim A. Olshanskii, Xianmin Xu:
  A Trace Finite Element Method for PDEs on Evolving Surfaces.
• 
  Fangying Song, Chuanju Xu, George E. Karniadakis:
  Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations.
• 
  Ryadh Haferssas, Pierre Jolivet, Frédéric Nataf:
  An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method.
• 
  Thomas L. D. Croft, Tim N. Phillips:
  Least-Squares Proper Generalized Decompositions for Weakly Coercive Elliptic Problems.
• 
  Stefano Zampini, Xuemin Tu:
  Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media.
• 
  Peter Kandolf, Samuel D. Relton:
  A Block Krylov Method to Compute the Action of the Fréchet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation.
• 
  Andreas Buhr, Christian Engwer, Mario Ohlberger, Stephan Rave:
  ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.
• 
  Clark R. Dohrmann, Olof B. Widlund:
  On the Design of Small Coarse Spaces for Domain Decomposition Algorithms.
• 
  Leo G. Rebholz, Mengying Xiao:
  Improved Accuracy in Algebraic Splitting Methods for Navier-Stokes Equations.
• 
  Joseph L. Hart, Alen Alexanderian, Pierre-Alain Gremaud:
  Efficient Computation of Sobol' Indices for Stochastic Models.
• 
  Lin Mu, Junping Wang, Xiu Ye:
  A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations.
• 
  Insu Han, Dmitry Malioutov, Haim Avron, Jinwoo Shin:
  Approximating Spectral Sums of Large-Scale Matrices using Stochastic Chebyshev Approximations.
• 
  Reiichiro Kawai:
  Acceleration on Adaptive Importance Sampling with Sample Average Approximation.
• 
  Hao Liu, Zhigang Yao, Shingyu Leung, Tony F. Chan:
  A Level Set Based Variational Principal Flow Method for Nonparametric Dimension Reduction on Riemannian Manifolds.
• 
  Olivier Zahm, Marie Billaud Friess, Anthony Nouy:
  Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest.
• 
  Qiya Hu, Xuan Li:
  Novel Multilevel Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations with Large Wave Numbers.
• 
  Patrick Amestoy, Alfredo Buttari, Jean-Yves L'Excellent, Théo Mary:
  On the Complexity of the Block Low-Rank Multifrontal Factorization.
• 
  Dang-Manh Nguyen, Jörg Peters:
  Explicit Least-Degree Boundary Filters for Discontinuous Galerkin.
• 
  Marie Billaud Friess, Anthony Nouy:
  Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems.
• 
  Max Kuang, Esteban G. Tabak:
  Preconditioning of Optimal Transport.

Computational Methods in Science and Engineering

• 
  Thomas Wick:
  An Error-Oriented Newton/Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation.
• 
  Jürgen Dölz, Helmut Harbrecht, Michael Peters:
  ℋ-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations.
• 
  Huu Chuong La, Andreas Potschka, Johannes P. Schlöder, Hans Georg Bock:
  Dual Control and Online Optimal Experimental Design.
• 
  Irene M. Gamba, Jeffrey R. Haack, Cory D. Hauck, Jingwei Hu:
  A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels.
• 
  Ossian O'Reilly, Eric M. Dunham, Jan Nordström:
  Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping.
• 
  Martin Eller, Stefan Reitzinger, Sebastian Schöps, Sabine Zaglmayr:
  A Symmetric Low-Frequency Stable Broadband Maxwell Formulation for Industrial Applications.
• 
  Mark Ainsworth, Scott Klasky, Ben Whitney:
  Compression Using Lossless Decimation: Analysis and Application.

Software and High-Performance Computing

• 
  Jed A. Duersch, Ming Gu:
  Randomized QR with Column Pivoting.
• 
  Zi-Xing Xing, Jianlin Xia, Maarten V. de Hoop, Stephen Cauley, Venkataramanan Balakrishnan:
  A Distributed-Memory Randomized Structured Multifrontal Method for Sparse Direct Solutions.
• 
  Jennifer Scott:
  On Using Cholesky-Based Factorizations and Regularization for Solving Rank-Deficient Sparse Linear Least-Squares Problems.

Volume 39, Number 5, 2017

Methods and Algorithms for Scientific Computing

• 
  Kailiang Wu, Yeonjong Shin, Dongbin Xiu:
  A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation.
• 
  Walter Acevedo, Jana de Wiljes, Sebastian Reich:
  Second-order Accurate Ensemble Transform Particle Filters.
• 
  Sjoerd Geevers, Jaap J. W. van der Vegt:
  Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems.
• 
  Daniel Kressner, Lana Perisa:
  Recompression of Hadamard Products of Tensors in Tucker Format.
• 
  Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin:
  Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation.
• 
  Zhiping Mao, Jie Shen:
  Hermite Spectral Methods for Fractional PDEs in Unbounded Domains.
• 
  Chunxiong Zheng, Jiashun Hu, Qiang Du, Jiwei Zhang:
  Numerical Solution of the Nonlocal Diffusion Equation on the Real Line.
• 
  Hui Guo, Yang Yang:
  Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media.
•