## SN Partial Differential Equations and Applications

 Short Title: SN Partial Differ. Equ. Appl. Publisher: Springer Nature Switzerland, Basel ISSN: 2662-2963; 2662-2971/e Online: https://link.springer.com/journal/42985/volumes-and-issues Comments: Indexed cover-to-cover
 Documents Indexed: 194 Publications (since 2020) References Indexed: 189 Publications with 5,883 References.
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### Latest Issues

 3, No. 5 (2022) 3, No. 4 (2022) 3, No. 3 (2022) 3, No. 2 (2022) 3, No. 1 (2022) 2, No. 6 (2021) 2, No. 5 (2021) 2, No. 4 (2021) 2, No. 3 (2021) 2, No. 2 (2021) 2, No. 1 (2021) 1, No. 6 (2020) 1, No. 5 (2020) 1, No. 4 (2020) 1, No. 3 (2020) 1, No. 2 (2020) 1, No. 1 (2020)
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### Authors

 3 Jentzen, Arnulf 3 Melenk, Jens Markus 3 Ozawa, Tohru 3 Zhang, Zhitao 2 Bartsch, Thomas J. 2 Bretti, Gabriella 2 Da Silva, Edcarlos Domingos 2 Dalcín, Lisandro D. 2 Du, Yihong 2 Gala, Sadek 2 Gosse, Laurent 2 Hamamuki, Nao 2 Hutzenthaler, Martin 2 Kaltenbacher, Manfred 2 Kruse, Thomas 2 Liu, Zhaoli 2 Mandel, Rainer 2 Ogawa, Takayoshi 2 Pan, Xingbin 2 Parsani, Matteo 2 Ragusa, Maria Alessandra 2 Rieder, Alexander 2 Sauer, Niko 2 Sayas, Francisco-Javier 2 Shimizu, Senjo 2 Taniuchi, Yasushi 2 Tsai, Tai-Peng 1 Abels, Helmut 1 Abta, Abdelhadi 1 Alexopoulos, Konstantinos 1 Almushaira, Mustafa 1 Aloui, Faouzia 1 Alves, Claudianor Oliveira 1 Amaral, Sabrina 1 Anthonissen, Martijn Johannes Hermanus 1 Araújo, Geraldo M. 1 Araujo, Marcos A. F. 1 Arima, Takashi 1 Asai, Taisei 1 Attar, Kamel 1 Aurazo-Alvarez, Leithold L. 1 Bae, Hantaek 1 Baldassari, Lorenzo 1 Barles, Guy 1 Başakoğlu, Engin 1 Beck, Geoffrey M. 1 Bell, Jonathan 1 Bellingeri, Carlo 1 Benhassine, Abderrazek 1 Berselli, Luigi Carlo 1 Bertens, M. W. M. C. 1 Bez, Neal 1 Bezerra, Flank David Morais 1 Bhattacharya, Debdeep 1 Bo, Xiaomeng 1 Bölcskei, Helmut 1 Borachok, Ihor 1 Bottazzi, Emanuele 1 Boutayeb, Salahaddine 1 Buchholz, Simone 1 Bueno, Hamilton P. 1 Cai, Li 1 Caligaris, Carlo 1 Cardoso, Eleomar jun. 1 Carpenter, Mark H. 1 Carrisi, Maria Cristina 1 Carvajal, Xavier Paredes 1 Cavalcante, T. R. 1 Châabani, Abdelkerim 1 Chaillat, Stéphanie 1 Chamekh, Mourad 1 Chapko, Roman 1 Chen, Hongge 1 Chen, Hua 1 Chen, Lung-Hui 1 Cheng, Xu 1 Chhetri, Maya 1 Choulli, Mourad 1 Chtioui, Hichem 1 Coclite, Giuseppe Maria 1 Coclite, Mario Michele 1 Consolo, Giancarlo 1 Crispo, Francesca 1 Cygan, Szymon 1 Darbas, Marion 1 Davies, Bryn 1 de Albuquerque, José Carlos 1 de Lima Ribeiro, Ricardo 1 De Luna, Manuel Quezada 1 de Sousa, Karla Carolina Vicente 1 Del Rey Fernández, David C. 1 Diao, Huaian 1 Ding, Jack 1 Djurdjevac, Ana 1 Domingos, Iury 1 Dörich, Benjamin 1 dos Prazeres, Disson 1 dos Santos, E. B. 1 Duarte, Ronaldo C. 1 E, Weinan ...and 266 more Authors
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### Fields

 165 Partial differential equations (35-XX) 36 Numerical analysis (65-XX) 29 Fluid mechanics (76-XX) 17 Operator theory (47-XX) 11 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 11 Biology and other natural sciences (92-XX) 9 Differential geometry (53-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 131 times in 120 Documents Cited by Year
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
2020
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
2021
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
2020
Entropy stable $$h/p$$-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
2020
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2021
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2020
Regularity of the $$m$$-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
2021
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 07451783
Abels, Helmut
2022
Applications of $$p$$-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027
2022
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
2022
Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864
Tsutaya, Kimitoshi; Wakasugi, Yuta
2022
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations. Zbl 1458.35161
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
2020
ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms. Zbl 1458.35087
Kitano, Shuhei
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
2020
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
2020
Runge-Kutta approximation for $$C_0$$-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus
2020
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
2021
Precise blowup rate near the boundary of boundary blowup solutions to $$k$$-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2021
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
2021
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
2021
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
2021
The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287
Hieber, Matthias; Kress, Klaus; Stinner, Christian
2021
Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172
2021
Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055
Yang, Zhipeng; Yu, Yuanyang
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
2021
Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083
Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F.
2021
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
2021
A note on 2D Navier-Stokes equations. Zbl 1476.35170
Fan, Jishan; Ozawa, Tohru
2021
One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041
Sourdis, Christos
2021
On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155
Abdellaoui, M.; Redwane, H.
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
2022
Ground states for Maxwell’s equations in nonlocal nonlinear media. Zbl 1489.35089
Mandel, Rainer
2022
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
2022
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 07451783
Abels, Helmut
2022
Applications of $$p$$-harmonic transplantation for functional inequalities involving a Finsler norm. Zbl 1484.26027
2022
Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms. Zbl 1490.65232
Grohs, Philipp; Jentzen, Arnulf; Salimova, Diyora
2022
Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Zbl 1479.35864
Tsutaya, Kimitoshi; Wakasugi, Yuta
2022
On some regularity results of parabolic problems with nonlinear perturbed terms and general data. Zbl 1479.35155
Abdellaoui, M.; Redwane, H.
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
2022
Ground states for Maxwell’s equations in nonlocal nonlinear media. Zbl 1489.35089
Mandel, Rainer
2022
Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure. Zbl 1487.35142
Quittner, Pavol
2022
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
2021
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Zbl 1476.65273
E, Weinan; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2021
Regularity of the $$m$$-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
2021
Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems. Zbl 1460.35379
Suzuki, Masamitsu
2021
Precise blowup rate near the boundary of boundary blowup solutions to $$k$$-Hessian equation. Zbl 1465.35265
Takimoto, Kazuhiro
2021
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
2021
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
2021
Multi-domain spectral approach for the Hilbert transform on the real line. Zbl 1490.44005
Klein, Christian; Riton, Julien; Stoilov, Nikola
2021
The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287
Hieber, Matthias; Kress, Klaus; Stinner, Christian
2021
Improved regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component. Zbl 1476.35172
2021
Existence and concentration of solution for Schrödinger-Poisson system with local potential. Zbl 1479.35055
Yang, Zhipeng; Yu, Yuanyang
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
2021
Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Zbl 1484.76083
Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F.
2021
Lower bound estimate for the dissipative nonlinear Schrödinger equation. Zbl 1476.35249
Sato, Takuya
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
2021
A note on 2D Navier-Stokes equations. Zbl 1476.35170
Fan, Jishan; Ozawa, Tohru
2021
One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. Zbl 1479.35041
Sourdis, Christos
2021
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
2020
Entropy stable $$h/p$$-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations. Zbl 1458.35161
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
2020
ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms. Zbl 1458.35087
Kitano, Shuhei
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
2020
Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer. Zbl 1457.35014
Sauer, Niko
2020
Runge-Kutta approximation for $$C_0$$-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus
2020
all top 5

### Cited by 259 Authors

 10 Jentzen, Arnulf 6 Hutzenthaler, Martin 4 Grohs, Philipp 4 Schneider, Reinhold 4 Soresina, Cinzia 3 Beck, Christian 3 Chan, Jesse 3 Han, Jiequn 3 Kruse, Thomas 3 Kühn, Christian 3 Petersen, Philipp Christian 3 Warin, Xavier 2 Becker, Sebastian 2 Cai, Li 2 Cingolani, Silvia 2 Del Rey Fernández, David C. 2 E, Weinan 2 Farwig, Reinhard 2 Germain, Maximilien 2 Giga, Yoshikazu 2 Huybrechs, Daan 2 Kutyniok, Gitta 2 Maierhofer, Georg 2 Nakauchi, Nobumitsu 2 Nguyen, Tuan-Anh 2 Oster, Mathias 2 Pham, Huyên 2 Požár, Norbert 2 Raslan, Mones 2 Richter, Lorenz 2 Sallandt, Leon 2 Takahashi, Futoshi 2 Tanaka, Kazunaga 2 Tsuda, Kazuyuki 2 Yang, Haizhao 2 Yang, Minbo 2 Zhang, Fubao 1 Abdelhedi, Wael 1 Abdeljawad, Ahmed 1 Al-Aradi, Ali 1 Al Jahdali, R. 1 Alghanemi, Azeb 1 Allalou, Chakir 1 Ammari, Habib M. 1 Azanzal, Achraf 1 Bae, Hantaek 1 Bai, Zhengjian 1 Bartsch, Thomas J. 1 Becker, Simon 1 Bencomo, Mario J. 1 Berglund, Nils 1 Berner, Julius 1 Bick, Christian 1 Boukharfane, Radouan 1 Braunwarth, Ramon 1 Breden, Maxime 1 Bretti, Gabriella 1 Bringedal, Carina 1 Carpenter, Mark H. 1 Chaker, Jamil 1 Chasseigne, Emmanuel 1 Chen, Bochao 1 Chen, Jianyi 1 Chen, Jingrun 1 Chen, Minxin 1 Chen, Yongpeng 1 Cheridito, Patrick 1 Chtioui, Hichem 1 Cicchino, Alexander 1 Correia, Adolfo G. S. 1 D’Acunto, Berardino 1 Dalcín, Lisandro D. 1 de Freitas Naiff, Danilo 1 Diao, Huaian 1 Dolgov, Sergey V. 1 Dörich, Benjamin 1 Drake, Dow 1 Ehstand, Noémie 1 Elbrächter, Dennis 1 Engel, Maximilian 1 Fackeldey, Konstantin 1 Fan, Jishan 1 Ferrer, Esteban 1 Figueiredo, Giovany Malcher 1 Flandoli, Franco 1 Flemisch, Bernd 1 Fontanela, Filipe 1 Foo, Wei-Guo 1 Fornaro, Simona 1 Frunzo, Luigi 1 Fuentes, Rodrigo 1 Gallo, Marco 1 Gao, Yixian 1 Gärttner, Stephan 1 Geist, Moritz 1 Giga, Mi-Ho 1 Giorgini, Andrea 1 Glau, Kathrin 1 Gopalakrishnan, Jay 1 Gosse, Laurent ...and 159 more Authors
all top 5

### Cited in 67 Journals

 8 Calculus of Variations and Partial Differential Equations 6 Journal of Computational Physics 6 SIAM Journal on Scientific Computing 5 Applied Mathematics and Computation 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Scientific Computing 3 The Journal of Geometric Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 SN Partial Differential Equations and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Constructive Approximation 2 Applied Mathematics Letters 2 Advances in Computational Mathematics 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 Communications in Computational Physics 2 Journal of Computational Dynamics 2 Journal of Elliptic and Parabolic Equations 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Calcolo 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Annals of Global Analysis and Geometry 1 Physica D 1 Applied Numerical Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Topological Methods in Nonlinear Analysis 1 St. Petersburg Mathematical Journal 1 The New York Journal of Mathematics 1 Applied Mathematical Finance 1 Engineering Analysis with Boundary Elements 1 Electronic Journal of Probability 1 Finance and Stochastics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Advances in Geometry 1 Quantitative Finance 1 Foundations of Computational Mathematics 1 Journal of Numerical Mathematics 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Financial Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Proceedings of the American Mathematical Society. Series B 1 AIMS Mathematics 1 Electronic Research Archive 1 SIAM Journal on Mathematics of Data Science 1 Frontiers of Mathematical Finance
all top 5

### Cited in 32 Fields

 76 Partial differential equations (35-XX) 52 Numerical analysis (65-XX) 21 Computer science (68-XX) 17 Probability theory and stochastic processes (60-XX) 14 Fluid mechanics (76-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Systems theory; control (93-XX) 8 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Mechanics of deformable solids (74-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)