540 results on '"Max D. Gunzburger"'
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2. A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type.
3. An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps.
4. Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials.
5. High-precision computation of the weak Galerkin methods for the fourth-order problem.
6. Numerical methods for nonlocal and fractional models.
7. Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models.
8. A Multifidelity Monte Carlo Method for Realistic Computational Budgets.
9. An asymptotically compatible coupling formulation for nonlocal interface problems with jumps.
10. Energetically Consistent Model Reduction for Metriplectic Systems.
11. A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces.
12. A Multifidelity Monte Carlo Method for Realistic Computational Budgets.
13. A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems.
14. Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise.
15. Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier-Stokes Equations.
16. Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise.
17. Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries.
18. Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE.
19. An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations.
20. An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs.
21. Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations.
22. Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations.
23. A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling.
24. High-Order Multirate Explicit Time-Stepping Schemes for the Baroclinic-Barotropic Split Dynamics in Primitive Equations.
25. On a nonlocal Cahn-Hilliard model permitting sharp interfaces.
26. An energy-based coupling approach to nonlocal interface problems.
27. A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls.
28. A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions.
29. A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere.
30. High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations.
31. Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion.
32. Convergence analysis of multifidelity Monte Carlo estimation.
33. Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel.
34. Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization.
35. On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model.
36. Comparison of approaches for random PDE optimization problems based on different matching functionals.
37. Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes.
38. Analysis and approximation of a nonlocal obstacle problem.
39. Well Posedness Of A Coupled ICE-Hydrology Problem Arising In Glaciology.
40. An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations.
41. Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs.
42. Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models.
43. Exponential time differencing for mimetic multilayer ocean models.
44. A multifidelity method for a nonlocal diffusion model.
45. Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs.
46. A least-squares finite element method for a nonlinear Stokes problem in glaciology.
47. An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system.
48. Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains.
49. Quadrature rules for finite element approximations of 1D nonlocal problems.
50. Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection.
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