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Rigorous numerics for nonlinear heat equations in the complex plane of time

Numerische Mathematik(2022)10.1007/s00211-022-01291-2Source: DataRank Database

Rigorous numerics for nonlinear heat equations in the complex plane of time is a research paper published in Numerische Mathematik (2022). On theSindex it has a DataRank of 0. It has been cited 16 times.

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Open Access16 citations

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datarank_citation_only_1hop_v6· scope data_onlyMethodology

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Enrichment:Funding (1 grants)Impact (FWCI 1.28)OA: hybridTopics (34)IDs (PubMed, OpenAlex)SDGs (1)

FAIR Checklist

Context only (not used in score)

Findable (1/2)

Has DOI

Accessible (1/2)

Open Access

Interoperable (0/2)

Reusable (0/3)

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Authors (4)

Jean‐Philippe Lessard ORCID,Jonathan Jaquette ORCID,Hisashi Okamoto ORCID,Akitoshi Takayasu ORCID

Live enrichment

PubMed:26207759 OpenAlex:https://openalex.org/W2982262031

National Institutes of Health

Grant: 3T32NS007292-28S1

Quantitative Neuroscience: From Genes to Behavior

FWCI

1.28

Citation Percentile

0.8%

Citation Trend

2021

2022

2023

2024

2025

2026

hybridLicense: cc-by

journalhttps://link.springer.com/content/pdf/10.1007/s00211-022-01291-2.pdf

publisherhttps://link.springer.com/content/pdf/10.1007/s00211-022-01291-2.pdf

publisherhttps://link.springer.com/article/10.1007/s00211-022-01291-2/fulltext.html

journalhttps://doi.org/10.1007/s00211-022-01291-2

https://dx.doi.org/10.48550/arxiv.1910.12472

Fields of Study

Stability and Controllability of Differential EquationsModel Reduction and Neural NetworksNumerical methods for differential equations01 natural sciences0101 mathematics

Keywords

MathematicsInitial value problemCauchy problemNonlinear systemHeat equationCauchy distributionFixed pointBanach spaceMathematical analysisSingularityApplied mathematicsBifurcations in context of PDEsPDEs in connection with classical thermodynamics and heat transfer35A20, 35B40, 35B44, 35K55, 65G40, 65M15, 65M70General methods in interval analysisAsymptotic behavior of solutions to PDEsAnalyticity in context of PDEsExistence problems for PDEs: global existence, local existence, non-existenceDynamical Systems (math.DS)Singularity in context of PDEsBlow-up in context of PDEsError bounds for initial value and initial-boundary value problems involving PDEsMathematics - Analysis of PDEsFOS: MathematicsNonlinear parabolic equationsnonlinear heat equationsMathematics - Dynamical SystemsSpectral, collocation and related methods for initial value and initial-boundary value problems involving PDEsAnalysis of PDEs (math.AP)

Sustainable Development Goals

SDG 0: Reduced inequalities