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## Emmrich, Etienne

Compute Distance To:
 Author ID: emmrich.etienne Published as: Emmrich, Etienne; Emmrich, E. External Links: MGP
 Documents Indexed: 49 Publications since 2001, including 3 Books Reviewing Activity: 208 Reviews
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#### Co-Authors

 12 single-authored 6 Šiška, David 5 Puhst, Dimitri 5 Thalhammer, Mechthild 4 Weckner, Olaf 3 Lasarzik, Robert 2 Eikmeier, André 2 Lehoucq, Richard B. 2 Mehrmann, Volker 2 Vallet, Guy 2 Wróblewska-Kamińska, Aneta 1 Bacho, Aras 1 Beyn, Wolf-Jürgen 1 Bukal, Mario 1 Eisenmann, Monika 1 Grigorieff, Rolf Dieter 1 Gunzburger, Max D. 1 Hoppe, Ronald H. W. 1 Jüngel, Ansgar 1 Kornhuber, Ralf 1 Kreusler, Hans-Christian 1 Mielke, Alexander 1 Rieger, Janosch 1 Schmitt, Horst 1 Wittbold, Petra
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#### Serials

 8 Computational Methods in Applied Mathematics 4 Communications in Mathematical Sciences 3 Journal of Differential Equations 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 BIT 2 Journal of Evolution Equations 2 Foundations of Computational Mathematics 1 IMA Journal of Applied Mathematics 1 Mathematics of Computation 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Journal of Integral Equations and Applications 1 Journal of Elasticity 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Computational and Applied Mechanics 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics and Computing 1 Oberwolfach Reports 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory
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#### Fields

 33 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 16 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 12 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 364 times in 229 Documents Cited by Year
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
2007
Stability and error of the variable two-step BDF for semilinear parabolic problems. Zbl 1082.65086
Emmrich, Etienne
2005
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
2007
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
2009
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
2013
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
2013
Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054
Emmrich, Etienne
2004
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
2005
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. Zbl 1172.65026
Emmrich, Etienne
2009
Doubly nonlinear evolution equations of second order: existence and fully discrete approximation. Zbl 1220.47141
Emmrich, Etienne; Thalhammer, Mechthild
2011
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation. Zbl 1282.76174
Emmrich, Etienne; Šiška, David
2012
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics. Zbl 1312.35163
Emmrich, Etienne; Puhst, Dimitri
2015
Convergence of a time discretization for a class of non-Newtonian fluid flow. Zbl 1160.76034
Emmrich, Etienne
2008
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Zbl 1202.65067
Emmrich, Etienne; Thalhammer, Mechthild
2010
Variable time-step $$\vartheta$$-scheme for nonlinear evolution equations governed by a monotone operator. Zbl 1177.65075
Emmrich, Etienne
2009
Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function. Zbl 1434.74016
Emmrich, Etienne; Puhst, Dimitri
2013
Analysis of time discretization of incompressible Navier-Stokes problem. (Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems.) Zbl 0982.76003
Emmrich, Etienne
2001
Convergence of a time discretisation for doubly nonlinear evolution equations of second order. Zbl 1192.65059
Emmrich, Etienne; Thalhammer, Mechthild
2010
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
2014
Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics. Zbl 1327.74003
Emmrich, Etienne; Puhst, Dimitri
2015
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: existence via time discretization. Zbl 1222.74021
Emmrich, Etienne; Thalhammer, Mechthild
2011
A short note on modeling damage in peridynamics. Zbl 1334.35339
Emmrich, Etienne; Puhst, Dimitri
2016
Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. Zbl 1272.65070
Emmrich, Etienne; Wróblewska-Kamińska, Aneta
2013
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
2006
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization. Zbl 1317.47067
Emmrich, Etienne; Šiška, David
2013
Ordinary and operator-differential equations. An integrated introduction to boundary value problems and evolution equations for students. (Gewöhnliche und Operator-Differentialgleichungen. Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende.) Zbl 1077.34002
Emmrich, Etienne
2004
Full discretisation of second-order nonlinear evolution equations: strong convergence and applications. Zbl 1283.47068
Emmrich, Etienne; Šiška, David
2011
Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies. Zbl 1402.35221
Emmrich, Etienne; Lasarzik, Robert
2018
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains. Zbl 1121.65108
Emmrich, E.
2007
On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates. Zbl 1334.65094
Emmrich, Etienne; Šiška, David; Thalhammer, Mechthild
2015
Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1401.76104
Emmrich, Etienne
2004
Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type. Zbl 1276.47088
Emmrich, Etienne; Vallet, Guy
2013
Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions. Zbl 1397.35207
Emmrich, Etienne; Lasarzik, Robert
2018
Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation. Zbl 1350.35133
Emmrich, Etienne; Šiška, David; Wróblewska-Kamińska, Aneta
2016
Nonlinear stochastic evolution equations of second order with damping. Zbl 1362.60061
Emmrich, Etienne; Šiška, David
2017
Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities. Zbl 1401.35361
Beyn, Wolf-Jürgen; Emmrich, Etienne; Rieger, Janosch
2018
Analytical and numerical aspects of partial differential equations. Notes of a lecture series. Lectures held at the Technische Universität Berlin, Berlin, Germany, 2007–2009. Zbl 1169.35003
Emmrich, Etienne (ed.); Wittbold, Petra (ed.)
2009
External approximation of nonlinear operator equations. Zbl 1184.65061
Emmrich, Etienne
2009
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method. Zbl 1233.65038
Emmrich, Etienne
2011
An existence result and evolutionary $$\varGamma$$-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
2019
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 07194988
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 07194988
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
2020
An existence result and evolutionary $$\varGamma$$-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
2019
Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies. Zbl 1402.35221
Emmrich, Etienne; Lasarzik, Robert
2018
Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions. Zbl 1397.35207
Emmrich, Etienne; Lasarzik, Robert
2018
Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities. Zbl 1401.35361
Beyn, Wolf-Jürgen; Emmrich, Etienne; Rieger, Janosch
2018
Nonlinear stochastic evolution equations of second order with damping. Zbl 1362.60061
Emmrich, Etienne; Šiška, David
2017
A short note on modeling damage in peridynamics. Zbl 1334.35339
Emmrich, Etienne; Puhst, Dimitri
2016
Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation. Zbl 1350.35133
Emmrich, Etienne; Šiška, David; Wróblewska-Kamińska, Aneta
2016
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics. Zbl 1312.35163
Emmrich, Etienne; Puhst, Dimitri
2015
Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics. Zbl 1327.74003
Emmrich, Etienne; Puhst, Dimitri
2015
On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates. Zbl 1334.65094
Emmrich, Etienne; Šiška, David; Thalhammer, Mechthild
2015
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. Zbl 1354.65163
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar
2014
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
2013
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
2013
Well-posedness of the peridynamic model with Lipschitz continuous pairwise force function. Zbl 1434.74016
Emmrich, Etienne; Puhst, Dimitri
2013
Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. Zbl 1272.65070
Emmrich, Etienne; Wróblewska-Kamińska, Aneta
2013
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization. Zbl 1317.47067
Emmrich, Etienne; Šiška, David
2013
Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type. Zbl 1276.47088
Emmrich, Etienne; Vallet, Guy
2013
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation. Zbl 1282.76174
Emmrich, Etienne; Šiška, David
2012
Doubly nonlinear evolution equations of second order: existence and fully discrete approximation. Zbl 1220.47141
Emmrich, Etienne; Thalhammer, Mechthild
2011
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: existence via time discretization. Zbl 1222.74021
Emmrich, Etienne; Thalhammer, Mechthild
2011
Full discretisation of second-order nonlinear evolution equations: strong convergence and applications. Zbl 1283.47068
Emmrich, Etienne; Šiška, David
2011
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method. Zbl 1233.65038
Emmrich, Etienne
2011
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Zbl 1202.65067
Emmrich, Etienne; Thalhammer, Mechthild
2010
Convergence of a time discretisation for doubly nonlinear evolution equations of second order. Zbl 1192.65059
Emmrich, Etienne; Thalhammer, Mechthild
2010
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
2009
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. Zbl 1172.65026
Emmrich, Etienne
2009
Variable time-step $$\vartheta$$-scheme for nonlinear evolution equations governed by a monotone operator. Zbl 1177.65075
Emmrich, Etienne
2009
Analytical and numerical aspects of partial differential equations. Notes of a lecture series. Lectures held at the Technische Universität Berlin, Berlin, Germany, 2007–2009. Zbl 1169.35003
Emmrich, Etienne; Wittbold, Petra
2009
External approximation of nonlinear operator equations. Zbl 1184.65061
Emmrich, Etienne
2009
Convergence of a time discretization for a class of non-Newtonian fluid flow. Zbl 1160.76034
Emmrich, Etienne
2008
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
2007
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
2007
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains. Zbl 1121.65108
Emmrich, E.
2007
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
2006
Stability and error of the variable two-step BDF for semilinear parabolic problems. Zbl 1082.65086
Emmrich, Etienne
2005
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
2005
Error of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1076.76054
Emmrich, Etienne
2004
Ordinary and operator-differential equations. An integrated introduction to boundary value problems and evolution equations for students. (Gewöhnliche und Operator-Differentialgleichungen. Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende.) Zbl 1077.34002
Emmrich, Etienne
2004
Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem. Zbl 1401.76104
Emmrich, Etienne
2004
Analysis of time discretization of incompressible Navier-Stokes problem. (Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems.) Zbl 0982.76003
Emmrich, Etienne
2001
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#### Cited by 321 Authors

 18 Emmrich, Etienne 17 Du, Qiang 10 Gunzburger, Max D. 9 Mengesha, Tadele 8 Altmann, Robert 8 Lipton, Robert P. 5 Ju, Lili 5 Jüngel, Ansgar 5 Silling, Stewart A. 5 You, Huaiqian 5 Yu, Yue 4 Aksoylu, Burak 4 Jha, Prashant K. 4 Lasarzik, Robert 4 Liao, HongLin 4 Scott, James M. 4 Seleson, Pablo 4 Thalhammer, Mechthild 4 Tian, Xiaochuan 4 Yuldasheva, Asal V. 4 Zhang, Jiwei 3 Alali, Bacim 3 Bellido, José Carlos 3 Celiker, Fatih 3 Ferreira, José Augusto 3 Gutman, Semion 3 Ha, Junhong 3 Lehoucq, Richard B. 3 Luan, Vu Thai 3 Mehrmann, Volker 3 Mora-Corral, Carlos 3 Parks, Michael L. 3 Pinto, L. 3 Rang, Joachim 3 Šiška, David 3 Trask, Nathaniel A. 3 Wang, Hong 3 Wang, Wansheng 3 Weckner, Olaf 3 Zhang, Xiaoping 3 Zheng, Chunxiong 3 Zhou, Kun 2 Alimov, Shavkat Arifdzhanovich 2 Askari, Ebrahim 2 Barbeiro, Sílvia 2 Bartosz, Krzysztof 2 Beyer, Horst Reinhard 2 Bhowmik, Samir Kumar 2 Borzì, Alfio 2 Bukal, Mario 2 Buryachenko, Valeriy A. 2 Coclite, Giuseppe Maria 2 Coulombel, Jean-François 2 del Teso, Félix 2 Egger, Herbert 2 Eikmeier, André 2 Eisenmann, Monika 2 Endal, Jørgen 2 Epton, Michael A. 2 Erkip, Albert Kohen 2 Essafi, Lakbir 2 Fuschi, Paolo 2 Gasiński, Leszek 2 González Andrade, Sergio 2 Hansen, Eskil 2 Hong, Jung-Wuk 2 Jakobsen, Espen Robstad 2 Javili, Ali 2 Jorge da Silva, Marcio Antonio 2 Kassmann, Moritz 2 Kruse, Raphael 2 Layton, William J. 2 Liu, Wenyang 2 Lu, Xinyang 2 Maddalena, Francesco 2 Matthes, Daniel 2 Mohaghegh, Fazlolah 2 Narciso, Vando 2 Osberger, Horst 2 Ostermann, Alexander 2 Pisano, Aurora Angela 2 Puhst, Dimitri 2 Rhoudaf, Mohamed 2 Shojaei, Arman 2 Sofi, Alba 2 Szafraniec, Paweł 2 Tian, Hao 2 Udaykumar, Holavanahalli S. 2 Wittbold, Petra 2 Wróblewska-Kamińska, Aneta 2 Xu, Jifeng 2 Zimmer, Christoph 2 Zimmermann, Alexandra 1 Abeyaratne, Rohan C. 1 Aljouiee, Abdullah Mohammed 1 Alphonse, Amal 1 Andersson, Adam 1 Andreaus, Ugo A. 1 Andreianov, Boris 1 Angermann, Lutz ...and 221 more Authors
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#### Cited in 89 Serials

 14 Computer Methods in Applied Mechanics and Engineering 14 Journal of Elasticity 10 SIAM Journal on Numerical Analysis 8 Applied Numerical Mathematics 6 Journal of Computational Physics 6 Mathematics of Computation 6 BIT 6 Mathematics and Mechanics of Solids 5 Computers & Mathematics with Applications 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 5 Computational Mechanics 5 Foundations of Computational Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Computational and Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerische Mathematik 4 SIAM Journal on Mathematical Analysis 4 SIAM Journal on Scientific Computing 4 Advances in Computational Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 SIAM Journal on Control and Optimization 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 3 Discrete and Continuous Dynamical Systems 3 Computational Methods in Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computers and Fluids 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Nonlinearity 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Matrix Analysis and Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Dynamics and Differential Equations 2 Differential Equations and Dynamical Systems 2 Lobachevskii Journal of Mathematics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Multiscale Modeling & Simulation 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Communications on Applied Mathematics and Computation 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Calcolo 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Systems & Control Letters 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Elemente der Mathematik 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Numerical Linear Algebra with Applications 1 Vietnam Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Science China. Mathematics 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions A. Royal Society of London 1 Journal of Elliptic and Parabolic Equations 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
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#### Cited in 25 Fields

 122 Numerical analysis (65-XX) 111 Partial differential equations (35-XX) 83 Mechanics of deformable solids (74-XX) 34 Integral equations (45-XX) 30 Fluid mechanics (76-XX) 21 Operator theory (47-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Ordinary differential equations (34-XX) 14 Functional analysis (46-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)