
Kernel optimization for LowRank MultiFidelity Algorithms
One of the major challenges for lowrank multifidelity (MF) approaches ...
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Visualization of topology optimization designs with representative subset selection
An important new trend in additive manufacturing is the use of optimizat...
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Deep MultiFidelity Active Learning of Highdimensional Outputs
Many applications, such as in physical simulation and engineering design...
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Numerical Testing of a New PositivityPreserving Interpolation Algorithm
An important component of a number of computational modeling algorithms ...
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Structurepreserving function approximation via convex optimization
Approximations of functions with finite data often do not respect certai...
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A Scalable Framework for Solving Fractional Diffusion Equations
The study of fractional order differential operators is receiving renewe...
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Deep Coregionalization for the Emulation of SpatialTemporal Fields
Datadriven surrogate models are widely used for applications such as de...
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The Effect of Data Transformations on Scalar Field Topological Analysis of HighOrder FEM Solutions
Highorder finite element methods (HOFEM) are gaining popularity in the...
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Nektar++: enhancing the capability and application of highfidelity spectral/hp element methods
Nektar++ is an opensource framework that provides a flexible, highperf...
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Allocation strategies for high fidelity models in the multifidelity regime
We propose a novel approach to allocating resources for expensive simula...
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Parametric Topology Optimization with MultiResolution Finite Element Models
We present a methodical procedure for topology optimization under uncert...
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RBFLOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces
We present a new method for the solution of PDEs on manifolds M⊂R^d of c...
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Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces
We present a new algorithm for the automatic oneshot generation of scat...
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Numerical Integration in Multiple Dimensions with Designed Quadrature
We present a systematic computational framework for generating positive ...
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Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing
We present a new iterative technique based on radial basis function (RBF...
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Exploration of Heterogeneous Data Using Robust Similarity
Heterogeneous data pose serious challenges to data analysis tasks, inclu...
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Rethinking Abstractions for Big Data: Why, Where, How, and What
Big data refers to large and complex data sets that, under existing appr...
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Robert M. Kirby
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