Chrome Extension
WeChat Mini Program
Use on ChatGLM

The Fourier regularization for solving the Cauchy problem for the Helmholtz equation

Applied Numerical Mathematics(2009)SCI 3区

Cited 65|Views0
Abstract
The Cauchy problem for the Helmholtz equation in an infinite u0027u0027stripu0027u0027 is considered. The Cauchy data are at the boundary x=0 given in an approximate manner and the solution is sought in the region...
More
Translated text
求助PDF
上传PDF
Bibtex
AI Read Science
AI Summary
AI Summary is the key point extracted automatically understanding the full text of the paper, including the background, methods, results, conclusions, icons and other key content, so that you can get the outline of the paper at a glance.
Example
Background
Key content
Introduction
Methods
Results
Related work
Fund
Key content
  • Pretraining has recently greatly promoted the development of natural language processing (NLP)
  • We show that M6 outperforms the baselines in multimodal downstream tasks, and the large M6 with 10 parameters can reach a better performance
  • We propose a method called M6 that is able to process information of multiple modalities and perform both single-modal and cross-modal understanding and generation
  • The model is scaled to large model with 10 billion parameters with sophisticated deployment, and the 10 -parameter M6-large is the largest pretrained model in Chinese
  • Experimental results show that our proposed M6 outperforms the baseline in a number of downstream tasks concerning both single modality and multiple modalities We will continue the pretraining of extremely large models by increasing data to explore the limit of its performance
Upload PDF to Generate Summary
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Related Papers

Numerical Pseudodifferential Operator and Fourier Regularization

Advances in Computational Mathematics 2009

被引用18

Cauchy Problem for the Laplace Equation in Cylinder Domain

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 2012

被引用3

The Inverse Source Problem for Time-Fractional Diffusion Equation: Stability Analysis and Regularization

Inverse problems in science & engineering/Inverse problems in science and engineering 2014

被引用34

A Mollification Method for a Cauchy Problem for the Helmholtz Equation

Z. P. Li, C. Xu, M. Lan, Z. Qian
International Journal of Computer Mathematics 2017

被引用7

A Coupled Complex Boundary Method for the Cauchy Problem

Inverse Problems in Science and Engineering 2016

被引用15

Meshless Methods to Noninvasively Calculate Neurocortical Potentials from Potentials Measured at the Scalp Surface

Springer Proceedings in Mathematics &amp Statistics New Trends of Mathematical Inverse Problems and Applications 2023

被引用2

A Mesh Free Wavelet Method to Solve the Cauchy Problem for the Helmholtz Equation

Abdeljalil Nachaoui, Sudad Musa Rashid
Springer Proceedings in Mathematics &amp Statistics New Trends of Mathematical Inverse Problems and Applications 2023

被引用1

Solving Geometric Inverse Problems with a Polynomial Based Meshless Method

Springer Proceedings in Mathematics &amp Statistics New Trends of Mathematical Inverse Problems and Applications 2023

被引用3

Data Disclaimer
The page data are from open Internet sources, cooperative publishers and automatic analysis results through AI technology. We do not make any commitments and guarantees for the validity, accuracy, correctness, reliability, completeness and timeliness of the page data. If you have any questions, please contact us by email: report@aminer.cn
Chat Paper
GPU is busy, summary generation fails
Rerequest