Trending Research
Interpolation-based immersed finite element and isogeometric analysis
We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite element spaces defined on a foreground mesh that captures the domain geometry but is otherwise subject to minimal constraints on element quality or connectivity.
Numerical Analysis Numerical Analysis
Few hamiltonian cycles in graphs with one or two vertex degrees
We fully disprove a conjecture of Haythorpe on the minimum number of hamiltonian cycles in regular hamiltonian graphs, thereby extending a result of Zamfirescu, as well as correct and complement Haythorpe's computational enumerative results from [Experim.
Combinatorics Discrete Mathematics
A GNN-Guided Predict-and-Search Framework for Mixed-Integer Linear Programming
sribdcn/Predict-and-Search_MILP_method
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Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems.
Optimization and Control
Dynamic Pricing for Non-fungible Resources: Designing Multidimensional Blockchain Fee Markets
Fixing the relative price of each resource in this way inhibits granular price discovery, limiting scalability and opening up the possibility of denial-of-service attacks.
Optimization and Control Cryptography and Security Computer Science and Game Theory
Multi-output multilevel best linear unbiased estimators via semidefinite programming
Multifidelity forward uncertainty quantification (UQ) problems often involve multiple quantities of interest and heterogeneous models (e. g., different grids, equations, dimensions, physics, surrogate and reduced-order models).
Numerical Analysis Mathematical Software Numerical Analysis Computation
Lithium-Ion Battery Charging Schedule Optimization to Balance Battery Usage and Degradation
This work optimizes a lithium-ion battery charging schedule while considering a joint revenue and battery degradation model.
Optimization and Control Performance
A $μ$-mode approach for exponential integrators: actions of $\varphi$-functions of Kronecker sums
We present a novel method for computing actions of the so-called $\varphi$-functions for a Kronecker sum $K$ of $d$ arbitrary matrices $A_\mu$.
Numerical Analysis Numerical Analysis
UltimateKalman: Flexible Kalman Filtering and Smoothing Using Orthogonal Transformations
UltimateKalman is a flexible linear Kalman filter and smoother implemented in three popular programming languages: MATLAB, C, and Java.
Numerical Analysis Numerical Analysis Systems and Control Systems and Control 65F20, 65F25, 37-04 G.1.3
Spectral Neural Operators
vlsf/sno
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The resulting Spectral Neural Operator (SNO) has transparent output, never suffers from aliasing, and may include many exact (lossless) operations on functions.
Numerical Analysis Numerical Analysis
Mean Robust Optimization
By varying the number of clusters, our method bridges between robust and Wasserstein distributionally robust optimization.
Optimization and Control
