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Constraint-Preserving Hybrid Finite Element Methods for Maxwell’s Equations
Maxwell’s equations describe the evolution of electromagnetic fields, together with constraints on the divergence of the magnetic and electric flux...
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R&D of a Quantum-Annealing Assisted Next Generation HPC Infrastructure and Its Killer Applications
As the silicon technology driven by so called Moore’s law is facing the physical limitation, we are now moving to the post-Moore’s era in the design...
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A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems
We present a priori and a posteriori error analysis of a high order hybridizable discontinuous Galerkin (HDG) method applied to a semi-linear...
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DR-HIPI: Performance Evaluation of Retinal Images for DR Lesion Segmentation Using the HIPI Architecture
This chapter proposes a framework that examines possible categories of image modalities available for diabetic retinopathy (DR) and recommends the...
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Learning Equations from Biological Data with Limited Time Samples
Equation learning methods present a promising tool to aid scientists in the modeling process for biological data. Previous equation learning studies...
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Energetic boundary element method for accurate solution of damped waves hard scattering problems
The paper deals with the numerical solution of 2D wave propagation exterior problems including viscous and material dam** coefficients and equipped...
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Application of a JPEG 2000-Based Data Compression Algorithm to DNS of Compressible Turbulent Boundary Layers Up to \(Re_\theta =6600\)
This paper presents a performance analysis of the compression library BigWhoop applied to compressible-turbulent-boundary-layer data obtained by...
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Robust and accurate reconstruction of the time-dependent continuous volatility from option prices
In this paper, we propose a robust and accurate reconstruction algorithm for the time-dependent continuous volatility function using observed option...
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Bridging mixed integer linear programming for truss topology optimization and additive manufacturing
One crucial advantage of additive manufacturing regarding the optimization of lattice structures is that there is a reduction in manufacturing...
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One-Dimensional Line SIAC Filtering for Multi-Dimensions: Applications to Streamline Visualization
Smoothness-Increasing Accuracy-Conserving (SIAC) filters for Discontinuous Galerkin (DG) methods are designed to increase the smoothness and improve...
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Learning spiking neuronal networks with artificial neural networks: neural oscillations
First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and...
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A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem
This paper presents a residual-type a posteriori error estimator for the virtual element method for the Stokes problem. It is proved that the a...
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Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations
In this paper, two flux-only least-squares finite element methods (LSFEM) for the linear hyperbolic transport problem are developed. The transport...
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Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives
In this paper, we consider the accuracy-enhancement of discontinuous Galerkin (DG) methods for solving partial differential equations (PDEs) with...
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Data-Driven Multiscale Modeling of Self-Assembly and Hierarchical Structural Formation in Biological Macro-Molecular Systems: Pyruvate Dehydrogenase Complex
Macro-molecular self-assembly and hierarchical structural formation are crucial for a variety of systems in nature and technology. Especially...
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Improving Background Subtraction Algorithms with Shadow Detection
Motion detection of objects on video is a resource–intensive area of computer vision that requires several stages. The first stage of this task is...
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A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold
Inspired by penalty-free approaches for smooth optimization problems, we propose a sequential linearized proximal gradient method (SLPG) for a class...
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The HPC project GLOMIR+ (GLObal MUSICA IASI Retrievals - plus)
The HPC project GLOMIR+ (GLObal MUSICA IASI Retrievals - plus) has the objective to generate a global, multi-year dataset for various atmospheric...
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Deep Graph Machine Learning Models for Epidemic Spread Prediction and Prevention
Epidemic spread prediction and prevention have been of paramount significance for safeguarding the public health and quality of life. However, the...