Max D. Gunzburger
Affiliations:- Florida State University, Department of Scientific Computing, Tallahassee, Fl, USA
According to our database1,
Max D. Gunzburger
authored at least 128 papers
between 1992 and 2023.
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Bibliography
2023
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type.
Comput. Math. Appl., December, 2023
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps.
SIAM J. Sci. Comput., June, 2023
A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces.
J. Comput. Appl. Math., June, 2023
J. Sci. Comput., 2023
Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials.
CoRR, 2023
2022
High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations.
J. Comput. Phys., 2022
A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere.
J. Comput. Phys., 2022
2021
CoRR, 2021
CoRR, 2021
Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations.
CoRR, 2021
2020
Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models.
SIAM J. Numer. Anal., 2020
High-precision computation of the weak Galerkin methods for the fourth-order problem.
Numer. Algorithms, 2020
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions.
CoRR, 2020
A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls.
CoRR, 2020
2019
Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier-Stokes Equations.
SIAM J. Sci. Comput., 2019
Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE.
SIAM J. Control. Optim., 2019
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise.
Numerische Mathematik, 2019
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise.
Math. Comput., 2019
Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries.
Math. Comput., 2019
An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations.
SIAM/ASA J. Uncertain. Quantification, 2019
An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs.
J. Sci. Comput., 2019
J. Comput. Phys., 2019
Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models.
CoRR, 2019
Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs.
CoRR, 2019
A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems.
Comput. Methods Appl. Math., 2019
2018
Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization.
SIAM Rev., 2018
On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model.
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel.
J. Comput. Phys., 2018
Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion.
Comput. Math. Appl., 2018
2017
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations.
SIAM J. Numer. Anal., 2017
SIAM J. Math. Anal., 2017
J. Comput. Appl. Math., 2017
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes.
Comput. Methods Appl. Math., 2017
Comparison of approaches for random PDE optimization problems based on different matching functionals.
Comput. Math. Appl., 2017
2016
SIAM J. Sci. Comput., 2016
Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection.
SIAM Rev., 2016
An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system.
Numerische Mathematik, 2016
A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension.
Multiscale Model. Simul., 2016
J. Sci. Comput., 2016
J. Comput. Phys., 2016
Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs.
Comput. Math. Appl., 2016
Comput. Math. Appl., 2016
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains.
Adv. Comput. Math., 2016
2015
A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection.
SIAM J. Numer. Anal., 2015
SIAM/ASA J. Uncertain. Quantification, 2015
A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data.
SIAM/ASA J. Uncertain. Quantification, 2015
θ schemes for finite element discretization of the space-time fractional diffusion equations.
J. Comput. Appl. Math., 2015
2014
SIAM J. Control. Optim., 2014
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems.
Math. Comput., 2014
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, 2014
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation.
J. Comput. Phys., 2014
J. Comput. Phys., 2014
J. Comput. Appl. Math., 2014
An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation.
Int. J. Comput. Math., 2014
Adjoint Methods in Computational Science, Engineering, and Finance (Dagstuhl Seminar 14371).
Dagstuhl Reports, 2014
Stochastic finite element methods for partial differential equations with random input data.
Acta Numer., 2014
2013
SIAM J. Sci. Comput., 2013
SIAM J. Numer. Anal., 2013
SIAM J. Math. Anal., 2013
SIAM/ASA J. Uncertain. Quantification, 2013
A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids.
J. Comput. Phys., 2013
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator.
Comput. Math. Appl., 2013
2012
SIAM Rev., 2012
Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2012
Int. J. Comput. Math., 2012
2011
Optimal Control of Stochastic Flow over a Backward-Facing Step Using Reduced-Order Modeling.
SIAM J. Sci. Comput., 2011
Analysis of Finite Element Discretizations of an Optimal Control Formulation of the Image Registration Problem.
SIAM J. Numer. Anal., 2011
SIAM J. Numer. Anal., 2011
SIAM J. Numer. Anal., 2011
Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations.
SIAM J. Control. Optim., 2011
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition.
Numerische Mathematik, 2011
2010
Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface Conditions.
SIAM J. Numer. Anal., 2010
Multiscale Model. Simul., 2010
J. Sci. Comput., 2010
J. Math. Imaging Vis., 2010
Adv. Comput. Math., 2010
2009
Multiscale Model. Simul., 2009
Int. J. Comput. Math., 2009
Comput. Geom., 2009
A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009
Applied mathematical sciences 166, Springer, ISBN: 978-0-387-30888-3, 2009
2008
2007
The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws.
J. Comput. Phys., 2007
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007
2006
Adaptive Finite Element Methods for Elliptic PDEs Based on Conforming Centroidal Voronoi-Delaunay Triangulations.
SIAM J. Sci. Comput., 2006
SIAM J. Sci. Comput., 2006
Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems.
SIAM J. Numer. Anal., 2006
SIAM J. Numer. Anal., 2006
Comparison of pure and "Latinized" centroidal Voronoi tessellation against various other statistical sampling methods.
Reliab. Eng. Syst. Saf., 2006
Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration.
J. Math. Imaging Vis., 2006
A numerical method for exact boundary controllability problems for the wave equation.
Comput. Math. Appl., 2006
2005
SIAM J. Numer. Anal., 2005
On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles.
SIAM J. Numer. Anal., 2005
Optimal Boundary Control for the Evolutionary Navier--Stokes System: The Three-Dimensional Case.
SIAM J. Control. Optim., 2005
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005
2004
SIAM J. Sci. Comput., 2004
Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem.
SIAM J. Numer. Anal., 2004
An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations.
SIAM J. Numer. Anal., 2004
2003
SIAM J. Sci. Comput., 2003
2002
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations.
Parallel Comput., 2002
Appl. Math. Comput., 2002
2000
Analysis and Approximation of the Velocity Tracking Problem for Navier-Stokes Flows with Distributed Control.
SIAM J. Numer. Anal., 2000
SIAM J. Numer. Anal., 2000
A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms.
SIAM J. Numer. Anal., 2000
SIAM J. Control. Optim., 2000
A penalty/least-squares method for optimal control problems for first-order elliptic systems.
Appl. Math. Comput., 2000
Solution of elliptic partial differential equations by an optimization-based domain decomposition method.
Appl. Math. Comput., 2000
Proceedings of the 39th IEEE Conference on Decision and Control, 2000
1999
Numerische Mathematik, 1999
Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions.
Appl. Math. Comput., 1999
1998
SIAM J. Sci. Comput., 1998
1995
On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors.
SIAM J. Appl. Math., 1995
1993
Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors.
SIAM J. Appl. Math., 1993
1992
SIAM Rev., 1992