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SIAM Journal on Scientific Computing, Volume 39
Volume 39, Number 1, 2017
- 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 ℓ1-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.
- 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
, David 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.
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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
- 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.