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numerical analysis

GeneTech 知识引擎共收录 76 篇相关科研实体，横跨 18 个垂直领域。数据来自 OpenAlex、arXiv、Crossref、PubMed、Europe PMC 等公开学术源，全部可溯源到原文。

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代表性文献（按质量分排序，前 60 条）

• COMPARATIVE ANALYSIS OF NUMERICAL METHODS FOR SOLVING INVERSE HEAT TRANSFER PROBLEMS IN MACHINING
  2026 · 碳中和与 CCUS · Este e-book reúne experiências extensionistas que revelam a potência formativa, científica e social da Biomedicina no Extremo Sul da Bahia, articulando ensino, pesquisa e compromisso com a realidade local.Ao narrar proje…
• Pricing a numerical coincidence a tolerance achieved
  2026 · 地外科学 · Pricing a numerical coincidence at the tolerance achieved David Coates — Independent Researcher, Reynoldsburg, Ohio, United States ORCID 0009-0009-9192-4797 · Draft, August 2026 In memory of Shirley. Abstract A claim tha…
• Pricing a numerical coincidence a tolerance achieved
  2026 · 地外科学 · Pricing a numerical coincidence at the tolerance achieved David Coates — Independent Researcher, Reynoldsburg, Ohio, United States ORCID 0009-0009-9192-4797 · Draft, August 2026 In memory of Shirley. Abstract A claim tha…
• Pricing a numerical coincidence a tolerance achieved
  2026 · 地外科学 · Pricing a numerical coincidence at the tolerance achieved David Coates — Independent Researcher, Reynoldsburg, Ohio, United States ORCID 0009-0009-9192-4797 · Draft, August 2026 In memory of Shirley. Abstract A claim tha…
• Singular system analysis of the inversion of microwave radiometric data: applications to biological temperature retrieval
  1987 · 生物计算 · This paper refers mainly to the inversion of microwave radiometric data for the determination of temperature distributions in the human body. The analysis is restricted to a simple one-dimensional stratified model and sp…
• Inversion of the Multiplicative Matrix Compound Operator
  2026 · 半导体与先进封装 · We study the problem of determining a matrix whose $k$th multiplicative compound, with $k > 1$, is a prescribed matrix $M$. The cardinality of the set of matrices whose $k$th multiplicative compound equals $M$ is char…
• Numerical analysis of heterostructure semiconductor devices
  1983 · 半导体与先进封装 · A numerical method for analyzing heterostructure semiconductor devices is described. The macroscopic semiconductor equations for materials with position-dependent dielectric constant, bandgap, and densities-of-states are…
• Activations Through Extensions: A Framework To Boost Performance Of Neural Networks
  2024 · AI 安全与对齐 · Activation functions are non-linearities in neural networks that allow them to learn complex mapping between inputs and outputs. Typical choices for activation functions are ReLU, Tanh, Sigmoid etc., where the choice gen…
• Efficient Quantum Algorithms for Nonlinear Stochastic Dynamical Systems
  2023 · 量子材料 · In this paper, we propose efficient quantum algorithms for solving nonlinear stochastic differential equations (SDE) via the associated Fokker-Planck equation (FPE). We discretize the FPE in space and time using two well…
• Computing accurate singular values using a mixed-precision one-sided Jacobi algorithm
  2026 · 智慧农业 · We present a relative forward error analysis of a mixed-precision preconditioned one-sided Jacobi algorithm, analogous to a two-sided version introduced in [N. J. Higham, F. Tisseur, M. Webb and Z. Zhou, SIAM J. Matrix A…
• Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
  2026 · AI 安全与对齐 · This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the workshop Linear Systems and Eigenvalue Pr…
• Reduced order computation of 2D elastodynamic Green's functions in layered soil using a low-rank tensor approximation
  2026 · 生物计算 · The evaluation of elastodynamic Green's functions across numerous source-receiver locations, frequencies, and material properties, particularly in the context of parametric studies or boundary element computations, is co…
• Waves 2026 Book of Abstracts
  2026 · 量子计算 · WAVES 2026, 17th International Conference on Mathematical and Numerical Aspects of Wave Propagation Concordia University (John Molson Building), Montreal, Canada, June 22-26, 2026 WAVES 2026 is the seventeenth meeting in…
• WarpagePINN: Thermal Warpage Prediction in Advanced Packaging via a Two-Stage Physics-Informed Neural Networks
  2026 · 半导体与先进封装 · Thermal warpage has become a critical issue in advanced packaging, primarily caused by the mismatch in coefficients of thermal expansion (CTE) among heterogeneously integrated materials. However, only a limited number of…
• Adjoint-Based Bayesian Uncertainty Quantification for PDE-Constrained Inverse Problems with Application to Semiconductor Imaging
  2026 · 半导体与先进封装 · We formulate a Bayesian framework for reconstructing doping profiles in pn-junction semiconductor devices from boundary flux measurements. The unknown doping field is modeled as a piecewise-constant function characterize…
• Mixed Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems
  2025 · 智慧农业 · Mixed-precision arithmetic offers significant computational advantages for large-scale matrix computation tasks, yet preserving accuracy and stability in eigenvalue problems and the singular value decomposition (SVD) rem…
• A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions
  2025 · AI 驱动科学发现 · Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize ne…
• Goal-Oriented Real-Time Bayesian Inference for Linear Autonomous Dynamical Systems With Application to Digital Twins for Tsunami Early Warning
  2025 · 数字孪生 · We present a goal-oriented framework for constructing digital twins with the following properties: (1) they employ discretizations of high-fidelity PDE models governed by autonomous dynamical systems, leading to large-sc…
• Conflict-Free Flight Scheduling Using Strategic Demand Capacity Balancing for Urban Air Mobility Operations
  2025 · 低空经济 · In this paper, we propose a conflict-free multi- agent flight scheduling that ensures robust separation in con- strained airspace for Urban Air Mobility (UAM) operations application. First, we introduce Pairwise Conflict…
• TensorSLM: Energy-efficient Embedding Compression of Sub-billion Parameter Language Models on Low-end Devices
  2025 · 半导体与先进封装 · Small Language Models (SLMs, or on-device LMs) have significantly fewer parameters than Large Language Models (LLMs). They are typically deployed on low-end devices, like mobile phones and single-board computers. Unlike …
• A Review of Pseudospectral Optimal Control: From Theory to Flight
  2025 · 低空经济 · The home space for optimal control is a Sobolev space. The home space for pseudospectral theory is also a Sobolev space. It thus seems natural to combine pseudospectral theory with optimal control theory and construct ``…
• An Explicit Primitive Conservative Solver for the Euler Equations with Arbitrary Equation of State
  2024 · 生物计算 · This work presents a procedure to solve the Euler equations by explicitly updating, in a conservative manner, a generic thermodynamic variable such as temperature, pressure or entropy instead of the total energy. The pre…
• Quantum simulation of the Fokker-Planck equation via Schrodingerization
  2024 · 量子材料 · This paper studies a quantum simulation technique for solving the Fokker-Planck equation. Traditional semi-discretization methods often fail to preserve the underlying Hamiltonian dynamics and may even modify the Hamilto…
• Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity
  2024 · 中医药工具 · The single exponential (SE) and double exponential (DE) formulas are widely recognized as efficient quadrature formulas for evaluating integrals with endpoint singularity. For integrals exhibiting algebraic singularity, …
• On efficient quantum block encoding of pseudo-differential operators
  2023 · 量子计算 · Block encoding lies at the core of many existing quantum algorithms. Meanwhile, efficient and explicit block encodings of dense operators are commonly acknowledged as a challenging problem. This paper presents a comprehe…
• Hundreds of new satellites of figure-eight orbit computed with high precision
  2022 · 智慧农业 · Satellites (topological powers) of the famous figure-eight orbit are special periodic solutions of the planar three-body problem. In this paper we use a modified Newton's method based on the Continuous analog of Newton's…
• Physics-driven machine learning models coupling PyTorch and Firedrake
  2023 · AI 驱动科学发现 · Partial differential equations (PDEs) are central to describing and modelling complex physical systems that arise in many disciplines across science and engineering. However, in many realistic applications PDE modelling …
• A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
  2026 · 量子材料 · This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models. The approach leverages the potential energy structure of hyperelasticity and employs…
• A Quantum Path to Partial Differential Equations
  2026 · 量子材料 · Partial differential equations are a promising application area for fault-tolerant quantum algorithms, but the subject lies between two communities with different languages: numerical analysis and quantum computation. Th…
• Spectral Gaps with Quantum Counting Queries and Oblivious State Preparation
  2025 · 量子计算 · Approximating the $k$-th spectral gap $Δ_k=|λ_k-λ_{k+1}|$ and the corresponding midpoint $μ_k=\frac{λ_k+λ_{k+1}}{2}$ of an $N\times N$ Hermitian matrix with eigenvalues $λ_1\geqλ_2\geq\ldots\geqλ_N$, is an important spec…
• Reactive Transport Modeling with Physics-Informed Machine Learning for Critical Minerals Applications
  2025 · 地外矿物 · This study presents a physics-informed neural network (PINN) framework for reactive transport modeling for simulating fast bimolecular reactions in porous media. Accurate characterization of chemical interactions and pro…
• Deep learning observables in computational fluid dynamics
  2019 · 深海科技 · Many large scale problems in computational fluid dynamics such as uncertainty quantification, Bayesian inversion, data assimilation and PDE constrained optimization are considered very challenging computationally as they…
• Physics-informed neural networks and neural operators for a study of EUV electromagnetic wave diffraction from a lithography mask
  2025 · 半导体与先进封装 · Physics-informed neural networks (PINNs) and neural operators (NOs) for solving the problem of diffraction of Extreme Ultraviolet (EUV) electromagnetic waves from a mask are presented. A novel hybrid Waveguide Neural Ope…
• Let's Enhance: A Deep Learning Approach to Extreme Deblurring of Text Images
  2022 · 脑科学 · This work presents a novel deep-learning-based pipeline for the inverse problem of image deblurring, leveraging augmentation and pre-training with synthetic data. Our results build on our winning submission to the recent…
• Variationally Mimetic Operator Networks
  2022 · 深海科技 · In recent years operator networks have emerged as promising deep learning tools for approximating the solution to partial differential equations (PDEs). These networks map input functions that describe material propertie…
• Structural Gaussian Priors for Bayesian CT reconstruction of Subsea Pipes
  2022 · 深海科技 · A non-destructive testing (NDT) application of X-ray computed tomography (CT) is inspection of subsea pipes in operation via 2D cross-sectional scans. Data acquisition is time-consuming and costly due to the challenging …
• Physical Confinement and Cell Proximity Increase Cell Migration Rates and Invasiveness: A Mathematical Model of Cancer Cell Invasion through Flexible Channels
  2022 · 合成生物与生物制造 · Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often proceeds by penetration through narrow c…
• Randomized Multiresolution Scanning in Focal and Fast E/MEG Sensing of Brain Activity with a Variable Depth
  2020 · 脑科学 · We focus on electromagnetoencephalography imaging of the neural activity and, in particular, finding a robust estimate for the primary current distribution via the hierarchical Bayesian model (HBM). Our aim is to develop…
• Fast uncertainty quantification of tracer distribution in the brain interstitial fluid with multilevel and quasi Monte Carlo
  2020 · 脑科学 · Efficient uncertainty quantification algorithms are key to understand the propagation of uncertainty -- from uncertain input parameters to uncertain output quantities -- in high resolution mathematical models of brain ph…
• Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks
  2020 · 深海科技 · We present a novel active learning algorithm, termed as iterative surrogate model optimization (ISMO), for robust and efficient numerical approximation of PDE constrained optimization problems. This algorithm is based on…
• New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions
  2020 · 中医药工具 · While the trapezoidal formula can attain exponential convergence when applied to infinite integrals of bilateral rapidly decreasing functions, it is not capable of this in the case of unilateral rapidly decreasing functi…
• Computing the matrix fractional power with the double exponential formula
  2020 · 中医药工具 · Two quadrature-based algorithms for computing the matrix fractional power $A^α$ are presented in this paper. These algorithms are based on the double exponential (DE) formula, which is well-known for its effectiveness in…
• Efficient and Precise Calculation of the Confluent Hypergeometric Function
  2024 · 智慧农业 · Kummer's function, also known as the confluent hypergeometric function (CHF), is an important mathematical function, in particular due to its many special cases, which include the Bessel function, the incomplete Gamma fu…
• A method for accelerating low precision operations by sparse matrix multiplication
  2024 · 智慧农业 · In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particular…
• Learning WENO for entropy stable schemes to solve conservation laws
  2024 · 深海科技 · Entropy conditions play a crucial role in the extraction of a physically relevant solution for systems of conservation laws, thus motivating the construction of entropy stable schemes that satisfy a discrete analogue of …
• Quantum Realization of the Finite Element Method
  2024 · 量子材料 · This paper presents a quantum algorithm for the solution of prototypical second-order linear elliptic partial differential equations discretized by $d$-linear finite elements on Cartesian grids of a bounded $d$-dimension…
• Bayesian inversion for the identification of the doping profile in unipolar semiconductor devices
  2024 · 半导体与先进封装 · A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is given. The goal is to estimate the post…
• A Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations
  2019 · 碳中和与 CCUS · Energy storage systems will play a key role in the power system of the twenty first century considering the large penetrations of variable renewable energy, growth in transport electrification and decentralisation of hea…
• Greedy low-rank algorithm for spatial connectome regression
  2018 · 脑科学 · Recovering brain connectivity from tract tracing data is an important computational problem in the neurosciences. Mesoscopic connectome reconstruction was previously formulated as a structured matrix regression problem (…
• Application of Volterra Equations to Solve Unit Commitment Problem of Optimised Energy Storage and Generation
  2016 · 碳中和与 CCUS · Development of reliable methods for optimised energy storage and generation is one of the most imminent challenges in moder power systems. In this paper an adaptive approach to load leveling problem using novel dynamic m…
• Model Reduction for Multiscale Lithium-Ion Battery Simulation
  2016 · 新能源 · In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes. We present new results on the application of…
• Compartmental analysis of dynamic nuclear medicine data: models and identifiability
  2016 · 中医药工具 · Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper i…
• GenomeFingerprinter and universal genome fingerprint analysis for systematic comparative genomics
  2013 · AI 安全与对齐 · How to compare whole genome sequences at large scale has not been achieved via conventional methods based on pair-wisely base-to-base comparison; nevertheless, no attention was paid to handle in-one-sitting a number of g…
• Early Observations on Performance of Google Compute Engine for Scientific Computing
  2013 · 生物计算 · Although Cloud computing emerged for business applications in industry, public Cloud services have been widely accepted and encouraged for scientific computing in academia. The recently available Google Compute Engine (G…
• GenomeFingerprinter and universal genome fingerprint analysis for systematic comparative genomics
  2013 · 生命科学 · How to compare whole genome sequences at large scale has not been achieved via conventional methods based on pair-wisely base-to-base comparison; nevertheless, no attention was paid to handle in-one-sitting a number of g…
• Legendre-Gauss-Lobatto grids and associated nested dyadic grids
  2013 · 新能源 · Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-order quadrature rules, but give also ri…
• Electro-Thermo-Chemical Computational Models for 3D Heterogeneous Semiconductor Device Simulation
  2013 · 半导体与先进封装 · In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system…
• Gauss-Vanicek Spectral Analysis of the Sepkoski Compendium: No New Life Cycles
  2006 · 生命科学 · New periods can emerge from data as a byproduct of incorrect processing or even the method applied. In one such recent instance, a new life cycle with a 62+-3 Myr period was reportedly found (about trend) in genus variat…
• On the Input-Output Behavior of a Geothermal Energy Storage: Approximations by Model Order Reduction
  2022 · 碳中和与 CCUS · In this paper we consider a geothermal energy storage in which the spatio-temporal temperature distribution is modeled by a heat equation with a convection term. Such storages often are embedded in residential heating sy…
• A micropolar isotropic plasticity formulation for non-associated flow rule and softening featuring multiple classical yield criteria Part I -- Theory
  2021 · 脑科学 · The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of the Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular …

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