Results 41 to 50 of about 2,048 (231)
Gradient Statistics-Based Multi-Objective Optimization in Physics-Informed Neural Networks
Sensors, 2023 Modeling and simulation of complex non-linear systems are essential in physics, engineering, and signal processing. Neural networks are widely regarded for such tasks due to their ability to learn complex representations from data.
Sai Karthikeya Vemuri, Joachim Denzler
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, 2021 In English.This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived.
Klibanov M. V. ((Michael V.),) +1 more
core
Hierarchical matrix approximations of hessians arising in inverse problems governed by PDEs [PDF]
, 2019 Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for Newton solution of deterministic inverse problems, as well as Markov chain
Keyes, David E. +10 more
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Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems [PDF]
, 2011 Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs ...
Beni, Catherine Elizabeth
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Axioms, 2023 We study three-dimensional potentials of the form V=U(xp+yp+zp), where U is an arbitrary function of C2-class, and p∈Z, which produces a preassigned two-parametric family of spatial regular orbits given in the solved form f(x,y,z) = c1, g(x,y,z) = c2 (c1,
Thomas Kotoulas
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Accelerated PDE's for efficient solution of regularized inversion problems
CoRR, 2018 We further develop a new framework, called PDE Acceleration, by applying it to calculus of variations problems defined for general functions on $\mathbb{R}^n$, obtaining efficient numerical algorithms to solve the resulting class of optimization problems based on simple discretizations of their corresponding accelerated PDE's.
Minas Benyamin +3 more
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Inverse problems for PDEs: Models, computations and applications [PDF]
SCIENTIA SINICA Mathematica, 2018 Inverse problems for partial differential equations (PDEs) are of great importance in the areas of applied mathematics, whichcover different mathematical branches including PDEs, functional analysis, nonlinear analysis,optimizations, regularization and numerical analysis.
Cheng Jin, Liu Jijun, Zhang Bo
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
On numerical simulation of liquid polymer moulding
Mathematical Modelling and Analysis, 2003 In this paper we consider numerical algorithms for solving the system of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case when a porous preform is located within the mould, so that the liquid polymer is ...
R. Čiegis, O. Iliev
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