Max D. Gunzburger

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 56

Top Venues

CoRR

J. Comput. Phys.

Comput. Math. Appl.

SIAM/ASA J. Uncertain. Quantification

Publications

Christian A. Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. SIAM J. Sci. Comput. 45 (3) (2023)
James Cheung, Mauro Perego, Pavel B. Bochev, Max D. Gunzburger
A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces. J. Comput. Appl. Math. 425 (2023)
Parisa Khodabakhshi, Olena Burkovska, Karen Willcox, Max D. Gunzburger
Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials. CoRR (2023)
Anthony D. Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
A Multifidelity Monte Carlo Method for Realistic Computational Budgets. J. Sci. Comput. 94 (1) (2023)
Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian A. Glusa, Max D. Gunzburger, Christian Vollmann
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. CoRR (2023)
Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian A. Glusa, Max D. Gunzburger, Christian Vollmann
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. Comput. Math. Appl. 151 (2023)
Anthony Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
Energetically Consistent Model Reduction for Metriplectic Systems. CoRR (2022)
Max D. Gunzburger, Buyang Li, Jilu Wang, Zongze Yang
A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. J. Comput. Phys. 457 (2022)
Anthony Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
A Multifidelity Monte Carlo Method for Realistic Computational Budgets. CoRR (2022)
Rihui Lan, Lili Ju, Zhu Wang, Max D. Gunzburger, Philip Jones
High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations. J. Comput. Phys. 457 (2022)
Christian A. Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev
An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. CoRR (2022)
Rihui Lan, Wei Leng, Zhu Wang, Lili Ju, Max D. Gunzburger
Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations. CoRR (2021)
Anthony Gruber, Max D. Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang
Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations. CoRR (2021)
Anthony Gruber, Max D. Gunzburger, Lili Ju, Zhu Wang
A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling. CoRR (2021)
Parisa Khodabakhshi, Karen E. Willcox, Max D. Gunzburger
A multifidelity method for a nonlocal diffusion model. Appl. Math. Lett. 121 (2021)
Rihui Lan, Lili Ju, Zhu Wang, Max D. Gunzburger, Philip Jones
High-Order Multirate Explicit Time-Stepping Schemes for the Baroclinic-Barotropic Split Dynamics in Primitive Equations. CoRR (2021)
Marta D'Elia, Qiang Du, Christian A. Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
Numerical methods for nonlocal and fractional models. CoRR (2020)
Giacomo Capodaglio, Marta D'Elia, Max D. Gunzburger, Pavel B. Bochev, Manuel Klar, Christian Vollmann
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. CoRR (2020)
Marta D'Elia, Qiang Du, Christian A. Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
Numerical methods for nonlocal and fractional models. Acta Numer. 29 (2020)
John V. Burkardt, Max D. Gunzburger, Wenju Zhao
High-precision computation of the weak Galerkin methods for the fourth-order problem. Numer. Algorithms 84 (1) (2020)
Olena Burkovska, Max D. Gunzburger
On a nonlocal Cahn-Hilliard model permitting sharp interfaces. CoRR (2020)
Giacomo Capodaglio, Marta D'Elia, Pavel B. Bochev, Max D. Gunzburger
An energy-based coupling approach to nonlocal interface problems. CoRR (2020)
Marta D'Elia, Max D. Gunzburger, Christian Vollmann
A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls. CoRR (2020)
Olena Burkovska, Max D. Gunzburger
Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models. SIAM J. Numer. Anal. 58 (3) (2020)
Max D. Gunzburger, Traian Iliescu, Muhammad Mohebujjaman, Michael Schneier
An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations. SIAM/ASA J. Uncertain. Quantification 7 (4) (2019)
Max D. Gunzburger, Wenju Zhao
Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier-Stokes Equations. SIAM J. Sci. Comput. 41 (4) (2019)
Sara Calandrini, Konstantin Pieper, Max D. Gunzburger
Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models. CoRR (2019)
Max D. Gunzburger, Buyang Li, Jilu Wang
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Numerische Mathematik 141 (4) (2019)
Konstantin Pieper, K. Chad Sockwell, Max D. Gunzburger
Exponential time differencing for mimetic multilayer ocean models. J. Comput. Phys. 398 (2019)
Max D. Gunzburger, Buyang Li, Jilu Wang
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Math. Comput. 88 (318) (2019)
James Cheung, Mauro Perego, Pavel B. Bochev, Max D. Gunzburger
Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Math. Comput. 88 (319) (2019)
Giacomo Capodaglio, Max D. Gunzburger
Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs. CoRR (2019)
Max D. Gunzburger, Nan Jiang, Zhu Wang
A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems. Comput. Methods Appl. Math. 19 (3) (2019)
Max D. Gunzburger, Michael Schneier, Clayton G. Webster, Guannan Zhang
An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs. J. Sci. Comput. 81 (1) (2019)
Max D. Gunzburger, Jilu Wang
Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE. SIAM J. Control. Optim. 57 (1) (2019)
Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. CoRR (2018)
Max D. Gunzburger, Nan Jiang, Feifei Xu
Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. Comput. Math. Appl. 75 (6) (2018)
Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization. SIAM Rev. 60 (3) (2018)
Huanhuan Yang, Max D. Gunzburger, Lili Ju
Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel. J. Comput. Phys. 367 (2018)
Max D. Gunzburger, Xiaoming He, Buyang Li
On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model. SIAM J. Numer. Anal. 56 (1) (2018)
Benjamin Peherstorfer, Max D. Gunzburger, Karen Willcox
Convergence analysis of multifidelity Monte Carlo estimation. Numerische Mathematik 139 (3) (2018)
Luca Bertagna, Max D. Gunzburger
Well Posedness Of A Coupled ICE-Hydrology Problem Arising In Glaciology. SIAM J. Math. Anal. 49 (2) (2017)
Marta D'Elia, Qiang Du, Max D. Gunzburger, Richard B. Lehoucq
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. Comput. Methods Appl. Math. 17 (4) (2017)
Qingguang Guan, Max D. Gunzburger
Analysis and approximation of a nonlocal obstacle problem. J. Comput. Appl. Math. 313 (2017)
Max D. Gunzburger, Nan Jiang, Michael Schneier
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations. SIAM J. Numer. Anal. 55 (1) (2017)
Hyung-Chun Lee, Max D. Gunzburger
Comparison of approaches for random PDE optimization problems based on different matching functionals. Comput. Math. Appl. 73 (8) (2017)
Xiaochuan Tian, Qiang Du, Max D. Gunzburger
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Adv. Comput. Math. 42 (6) (2016)
Xiaoping Zhang, Max D. Gunzburger, Lili Ju
Quadrature rules for finite element approximations of 1D nonlocal problems. J. Comput. Phys. 310 (2016)
Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, Hans De Sterck, George Biros, Hans-Joachim Bungartz, James Corones, Evin Cramer, James Crowley, Omar Ghattas, Max D. Gunzburger, Michael Hanke, Robert J. Harrison, Michael A. Heroux, Jan S. Hesthaven, Peter K. Jimack, Chris Johnson, Kirk E. Jordan, David E. Keyes, Rolf H. Krause, Vipin Kumar, Stefan Mayer, Juan Meza, Knut Martin Mørken, J. Tinsley Oden, Linda R. Petzold, Padma Raghavan, Suzanne M. Shontz, Anne E. Trefethen, Peter R. Turner, Vladimir V. Voevodin, Barbara I. Wohlmuth, Carol S. Woodward
Research and Education in Computational Science and Engineering. CoRR (2016)
Irene Sonja Monnesland, Eunjung Lee, Max D. Gunzburger, Ryeongkyung Yoon
A least-squares finite element method for a nonlinear Stokes problem in glaciology. Comput. Math. Appl. 71 (11) (2016)
Max D. Gunzburger, Lisheng Hou, Ju Ming
Stochastic Steady-State Navier-Stokes Equations with Additive Random Noise. J. Sci. Comput. 66 (2) (2016)
Wenbin Chen, Max D. Gunzburger, Dong Sun, Xiaoming Wang
An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Numerische Mathematik 134 (4) (2016)
Guannan Zhang, Weidong Zhao, Clayton G. Webster, Max D. Gunzburger
Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs. Comput. Math. Appl. 71 (11) (2016)
Feifei Xu, Max D. Gunzburger, John V. Burkardt, Qiang Du
A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension. Multiscale Model. Simul. 14 (1) (2016)
Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger
Optimal Model Management for Multifidelity Monte Carlo Estimation. SIAM J. Sci. Comput. 38 (5) (2016)
Guannan Zhang, Clayton G. Webster, Max D. Gunzburger, John V. Burkardt
Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection. SIAM Rev. 58 (3) (2016)
Qingguang Guan, Max D. Gunzburger
θ schemes for finite element discretization of the space-time fractional diffusion equations. J. Comput. Appl. Math. 288 (2015)
Aretha L. Teckentrup, Peter Jantsch, Clayton G. Webster, Max D. Gunzburger
A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
Guannan Zhang, Clayton G. Webster, Max D. Gunzburger, John V. Burkardt
A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection. SIAM J. Numer. Anal. 53 (3) (2015)
Hans-Werner van Wyk, Max D. Gunzburger, John Burkhardt, Miroslav Stoyanov
Power-Law Noises over General Spatial Domains and on Nonstandard Meshes. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
Nicolas R. Gauger, Michael B. Giles, Max D. Gunzburger, Uwe Naumann
Adjoint Methods in Computational Science, Engineering, and Finance (Dagstuhl Seminar 14371). Dagstuhl Reports 4 (9) (2014)
Qingshan Chen, Max D. Gunzburger
Goal-oriented a posteriori error estimation for finite volume methods. J. Comput. Appl. Math. 265 (2014)
Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Math. Comput. 83 (288) (2014)
Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger
Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. 68 (11) (2014)
Max D. Gunzburger, Clayton G. Webster, Guannan Zhang
Stochastic finite element methods for partial differential equations with random input data. Acta Numer. 23 (2014)
Rui Gu, Xiaoqiang Wang, Max D. Gunzburger
Simulating vesicle-substrate adhesion using two phase field functions. J. Comput. Phys. 275 (2014)
Marta D'Elia, Max D. Gunzburger
Optimal Distributed Control of Nonlocal Steady Diffusion Problems. SIAM J. Control. Optim. 52 (1) (2014)
Wei Leng, Lili Ju, Yan Xie, Tao Cui, Max D. Gunzburger
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. J. Comput. Phys. 274 (2014)
Clayton G. Webster, Guannan Zhang, Max D. Gunzburger
An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation. Int. J. Comput. Math. 91 (4) (2014)
Alexander E. Labovsky, Max D. Gunzburger
An Efficient and Accurate Method for the Identification of the Most Influential Random Parameters Appearing in the Input Data for PDEs. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Qingshan Chen, Todd Ringler, Max D. Gunzburger
A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids. J. Comput. Phys. 240 (2013)
Marta D'Elia, Max D. Gunzburger
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Comput. Math. Appl. 66 (7) (2013)
Wenbin Chen, Max D. Gunzburger, Dong Sun, Xiaoming Wang
Efficient and Long-Time Accurate Second-Order Methods for the Stokes-Darcy System. SIAM J. Numer. Anal. 51 (5) (2013)
Geoffrey Womeldorff, Janet S. Peterson, Max D. Gunzburger, Todd Ringler
Unified Matching Grids for Multidomain Multiphysics Simulations. SIAM J. Sci. Comput. 35 (6) (2013)
Qingshan Chen, Max D. Gunzburger, Mauro Perego
Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology. SIAM J. Math. Anal. 45 (5) (2013)
Marta D'Elia, Max D. Gunzburger
Coarse-Grid Sampling Interpolatory Methods for Approximating Gaussian Random Fields. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
James O. Berger, Donald J. Estep, Max D. Gunzburger
Message from the Editors. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
Guannan Zhang, Max D. Gunzburger
Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. 50 (4) (2012)
Qiang Du, Max D. Gunzburger, Richard B. Lehoucq, Kun Zhou
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. SIAM Rev. 54 (4) (2012)
Jungmin Choi, Max D. Gunzburger
Approximation and application of the Musiela stochastic PDE in forward rate models. Int. J. Comput. Math. 89 (9) (2012)
Max D. Gunzburger, Ju Ming
Optimal Control of Stochastic Flow over a Backward-Facing Step Using Reduced-Order Modeling. SIAM J. Sci. Comput. 33 (5) (2011)
Wenbin Chen, Max D. Gunzburger, Fei Hua, Xiaoming Wang
A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System. SIAM J. Numer. Anal. 49 (3) (2011)
Max D. Gunzburger, Angela Kunoth
Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations. SIAM J. Control. Optim. 49 (3) (2011)
Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Numerische Mathematik 117 (4) (2011)
Max D. Gunzburger, Hyung-Chun Lee, Jangwoon Lee
Error Estimates of Stochastic Optimal Neumann Boundary Control Problems. SIAM J. Numer. Anal. 49 (4) (2011)
Eunjung Lee, Max D. Gunzburger
Analysis of Finite Element Discretizations of an Optimal Control Formulation of the Image Registration Problem. SIAM J. Numer. Anal. 49 (4) (2011)
Max D. Gunzburger, Eunjung Lee, Yuki Saka, Catalin Trenchea, Xiaoming Wang
Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence. J. Sci. Comput. 45 (1-3) (2010)
Max D. Gunzburger, Richard B. Lehoucq
A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems. Multiscale Model. Simul. 8 (5) (2010)
Yanzhao Cao, Max D. Gunzburger, Xiaolong Hu, Fei Hua, Xiaoming Wang, Weidong Zhao
Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface Conditions. SIAM J. Numer. Anal. 47 (6) (2010)
Eunjung Lee, Max D. Gunzburger
An Optimal Control Formulation of an Image Registration Problem. J. Math. Imaging Vis. 36 (1) (2010)
Yanzhao Cao, Zheng Chen, Max D. Gunzburger
Error analysis of finite element approximations of the stochastic Stokes equations. Adv. Comput. Math. 33 (2) (2010)
Max D. Gunzburger, Yanzhi Zhang
A Quadrature-Rule Type Approximation to the Quasi-Continuum Method. Multiscale Model. Simul. 8 (2) (2009)
Jungmin Choi, Max D. Gunzburger
Option pricing in the presence of random arbitrage return. Int. J. Comput. Math. 86 (6) (2009)
Pavel B. Bochev, Max D. Gunzburger
A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations. LSSC (2009)
Pablo Seleson, Michael L. Parks, Max D. Gunzburger, Richard B. Lehoucq
Peridynamics as an Upscaling of Molecular Dynamics. Multiscale Model. Simul. 8 (1) (2009)
Hoa Nguyen, John V. Burkardt, Max D. Gunzburger, Lili Ju, Yuki Saka
Constrained CVT meshes and a comparison of triangular mesh generators. Comput. Geom. 42 (1) (2009)
Santiago Badia, Michael L. Parks, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq
On Atomistic-to-Continuum Coupling by Blending. Multiscale Model. Simul. 7 (1) (2008)
Santiago Badia, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq, Michael L. Parks
Bridging Methods for Coupling Atomistic and Continuum Models. LSSC (2007)
Marcus Calhoun-Lopez, Max D. Gunzburger
The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws. J. Comput. Phys. 225 (2) (2007)
Pavel B. Bochev, Max D. Gunzburger
Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems. SIAM J. Numer. Anal. 43 (6) (2006)

Max D. Gunzburger.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Max D. Gunzburger