Partial Differential Equations and Applications / Springer
Citation Profile [Updated: 2026-07-12 11:58:33]
5 Years H Index
4
Impact Factor (IF)
0
5 Years IF
0.01
Data available in this
report
[Raw
data] [50 most cited papers]
[50 most relevant papers]
[cites used to compute IF]
[Recent
citations ][Frequent citing
series ] [more data in
EconPapers]
[
trace new citations] [Missing
citations? Add them now]
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know]
Main indicators
Raw Data
| IF: | Two years Impact Factor: C2Y / D2Y |
| AIF: | Average Impact Factor for all series in RePEc in year y |
| CIF: | Cumulative impact factor |
| IF5: | Five years Impact Factor: C5Y / D5Y |
| DOC: | Number of documents published in year y |
| CDO: | Cumulative number of documents published until year y |
| CIT: | Number of citations to papers published in year y |
| NCI: | Number of citations in year y |
| CCU: | Cumulative number of citations to papers published until year y |
| D2Y: | Number of articles published in y-1 plus y-2 |
| C2Y: | Cites in y to articles published in y-1 plus y-2 |
| D5Y: | Number of articles published in y-1 until y-5 |
| C5Y: | Cites in y to articles published in y-1 until y-5 |
| SC: | selft citations in y to articles published in y-1 plus y-2 |
| %SC: | Percentage of selft citations in y to articles published in y-1 plus y-2 |
| CiY: | Cites in year y to documents published in year y |
| II: | Immediacy Index: CiY / Documents. |
| AII: | Average Immediacy Index for series in RePEc in year y |
50 most cited documents in this series
| # | Year | Title | Cited |
|---|---|---|---|
| 1 | 2020 | A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. (2020). Nguyen, Tuan Anh ; Kruse, Thomas ; Hutzenthaler, Martin ; Jentzen, Arnulf. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:2:d:10.1007_s42985-019-0006-9. Full description at Econpapers || Download paper | 16 |
| 2 | 2021 | Neural networks-based backward scheme for fully nonlinear PDEs. (2021). Warin, Xavier ; Germain, Maximilien ; Pham, Huyen. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:1:d:10.1007_s42985-020-00062-8. Full description at Econpapers || Download paper | 12 |
| 3 | 2021 | Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. (2021). , Weinan ; Kruse, Thomas ; Hutzenthaler, Martin ; Jentzen, Arnulf. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:6:d:10.1007_s42985-021-00089-5. Full description at Econpapers || Download paper | 8 |
| 4 | 2022 | Deep learning schemes for parabolic nonlocal integro-differential equations. (2022). Castro, Javier. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:6:d:10.1007_s42985-022-00213-z. Full description at Econpapers || Download paper | 5 |
| 5 | 2022 | Eckhaus instability of stationary patterns in hyperbolic reactionâdiffusion models on large finite domains. (2022). Consolo, Giancarlo ; Grifo, Gabriele. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:5:d:10.1007_s42985-022-00193-0. Full description at Econpapers || Download paper | 4 |
| 6 | 2021 | The unique continuation property for second order evolution PDEs. (2021). Choulli, Mourad. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:5:d:10.1007_s42985-021-00123-6. Full description at Econpapers || Download paper | 3 |
| 7 | 2023 | Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus. (2023). Yamada, Toshihiro ; Takahashi, Akihiko. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:4:d:10.1007_s42985-023-00240-4. Full description at Econpapers || Download paper | 3 |
| 8 | 2021 | Solving high-dimensional HamiltonâJacobiâBellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. (2021). Nusken, Nikolas ; Richter, Lorenz. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00102-x. Full description at Econpapers || Download paper | 3 |
| 9 | 2022 | Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. (2022). Grohs, Philipp ; Salimova, Diyora ; Jentzen, Arnulf. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:4:d:10.1007_s42985-021-00100-z. Full description at Econpapers || Download paper | 2 |
| 10 | 2022 | Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. (2022). Osada, Yuki. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:2:d:10.1007_s42985-022-00160-9. Full description at Econpapers || Download paper | 2 |
| 11 | 2023 | Neural networks for first order HJB equations and application to front propagation with obstacle terms. (2023). Warin, Xavier ; Bokanowski, Olivier ; Prost, Averil. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:5:d:10.1007_s42985-023-00258-8. Full description at Econpapers || Download paper | 1 |
| 12 | 2020 | Global existence of solutions to some equations modeling phase separation of self-propelled particles. (2020). Bae, Hantaek. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00047-7. Full description at Econpapers || Download paper | 1 |
| 13 | 2021 | Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows. (2021). Sayyari, Mohammed ; Parsani, Matteo ; Dalcin, Lisandro. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:6:d:10.1007_s42985-021-00132-5. Full description at Econpapers || Download paper | 1 |
| 14 | 2023 | An energy-based deep splitting method for the nonlinear filtering problem. (2023). Larsson, Stig ; Bgmark, Kasper ; Andersson, Adam. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:2:d:10.1007_s42985-023-00231-5. Full description at Econpapers || Download paper | 1 |
| 15 | 2021 | On the uniqueness of a suitable weak solution to the NavierâStokes Cauchy problem. (2021). Maremonti, Paolo ; Crispo, Francesca. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:3:d:10.1007_s42985-021-00073-z. Full description at Econpapers || Download paper | 1 |
| 16 | 2022 | Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. (2022). Inui, Takahisa ; Gustafson, Stephen. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:4:d:10.1007_s42985-022-00183-2. Full description at Econpapers || Download paper | 1 |
| 17 | 2023 | A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations. (2023). Privault, Nicolas ; Yu, Jiang. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:4:d:10.1007_s42985-023-00255-x. Full description at Econpapers || Download paper | 1 |
| 18 | 2020 | Stability analysis of a delayed sir epidemic model with diffusion and saturated incidence rate. (2020). Boutayeb, Salahaddine ; Rachik, Mostafa ; Laarabi, Hassan ; Alaoui, Hamad Talibi ; Abta, Abdelhadi. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:4:d:10.1007_s42985-020-00015-1. Full description at Econpapers || Download paper | 1 |
| 19 | 2021 | An alternative proof of $$L^q$$ L q â $$L^r$$ L r estimates of the Oseen semigroup in higher dimensional exterior domains. (2021). Hishida, Toshiaki. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:2:d:10.1007_s42985-021-00086-8. Full description at Econpapers || Download paper | 1 |
| 20 | 2023 | Higher-order error estimates for physics-informed neural networks approximating the primitive equations. (2023). Tang, Sui ; Hu, Ruimeng ; Lin, Quyuan ; Raydan, Alan. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:4:d:10.1007_s42985-023-00254-y. Full description at Econpapers || Download paper | 1 |
| 21 | 2020 | Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. (2020). Katayama, Soichiro ; Sakoda, Daisuke. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:3:d:10.1007_s42985-020-00012-4. Full description at Econpapers || Download paper | 1 |
| 22 | 2022 | Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the $$L^p$$ L p framework. (2022). Yao, Zheng-An ; Qiu, Hua. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:6:d:10.1007_s42985-022-00211-1. Full description at Econpapers || Download paper | 1 |
| 23 | 2022 | Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$\alpha \in \left( 2,4\right) $$ α â 2 , 4. (2022). Naumkin, Pavel I ; Hayashi, Nakao ; Sanchez-Suarez, Isahi. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:6:d:10.1007_s42985-022-00206-y. Full description at Econpapers || Download paper | 1 |
| 24 | 2024 | Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach. (2024). Zougheib, Hamza ; el Arwadi, Toufic ; El-Hindi, Mohammad ; Soufyane, Abdelaziz. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:5:y:2024:i:2:d:10.1007_s42985-024-00273-3. Full description at Econpapers || Download paper | 1 |
| 25 | 2020 | Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations. (2020). Almushaira, Mustafa ; Liu, Fei. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00048-6. Full description at Econpapers || Download paper | 1 |
| 26 | 2022 | Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. (2022). Wakasugi, Yuta ; Tsutaya, Kimitoshi. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:1:d:10.1007_s42985-021-00145-0. Full description at Econpapers || Download paper | 1 |
| 27 | 2023 | Global logarithmic stability of a Cauchy problem for anisotropic wave equations. (2023). Choulli, Mourad ; Bellassoued, Mourad. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:3:d:10.1007_s42985-023-00242-2. Full description at Econpapers || Download paper | 1 |
| 28 | 2021 | Attractionârepulsion taxis mechanisms in a predatorâprey model. (2021). Bell, Jonathan ; Haskell, Evan C. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:3:d:10.1007_s42985-021-00080-0. Full description at Econpapers || Download paper | 1 |
50 most relevant documents in this series (papers most cited in the last two years)
| # | Year | Title | Cited |
|---|---|---|---|
| 1 | 2020 | A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. (2020). Nguyen, Tuan Anh ; Kruse, Thomas ; Hutzenthaler, Martin ; Jentzen, Arnulf. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:1:y:2020:i:2:d:10.1007_s42985-019-0006-9. Full description at Econpapers || Download paper | 4 |
| 2 | 2022 | Deep learning schemes for parabolic nonlocal integro-differential equations. (2022). Castro, Javier. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:6:d:10.1007_s42985-022-00213-z. Full description at Econpapers || Download paper | 3 |
| 3 | 2021 | Neural networks-based backward scheme for fully nonlinear PDEs. (2021). Warin, Xavier ; Germain, Maximilien ; Pham, Huyen. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:1:d:10.1007_s42985-020-00062-8. Full description at Econpapers || Download paper | 3 |
| 4 | 2023 | Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus. (2023). Yamada, Toshihiro ; Takahashi, Akihiko. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:4:y:2023:i:4:d:10.1007_s42985-023-00240-4. Full description at Econpapers || Download paper | 2 |
| 5 | 2022 | Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials. (2022). Osada, Yuki. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:3:y:2022:i:2:d:10.1007_s42985-022-00160-9. Full description at Econpapers || Download paper | 2 |
| 6 | 2021 | Solving high-dimensional HamiltonâJacobiâBellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. (2021). Nusken, Nikolas ; Richter, Lorenz. In: Partial Differential Equations and Applications. RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00102-x. Full description at Econpapers || Download paper | 2 |
Citing documents used to
compute impact factor:
| Year | Title |
|---|
Recent citations
Recent citations received in 2023
| Year | Citing document |
|---|
10 most frequent citing series