# zbMATH — the first resource for mathematics

## Kumar, Deepak

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 Author ID: kumar.deepak Published as: Kumar, D.; Kumar, Deepak External Links: MGP · Wikidata
 Documents Indexed: 82 Publications since 1990, including 1 Book
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#### Co-Authors

 3 single-authored 14 Sharma, Janak Raj 10 Argyros, Ioannis Konstantinos 7 Sandhu, Gurninder Singh 6 Chandok, Sumit 3 Ali, Asma 3 Karan, Ram 2 Agarwal, Manju Lata 2 Datta, Tushar K. 2 Jazlan, Ahmad 2 Kapur, P. K. 2 Kumar, Rajendra 2 Kumar, Sanjeev 2 Kumar, Vinay B. Y. 2 Sen, Subhankar 2 Singh, Mahender P. 2 Sourav, Kumar 2 Sreenadh, Konijeti 2 Sreeram, Victor 2 Togneri, Roberto 1 Alon, Yaniv 1 Attia, Mohamed Adel 1 Blank, Douglas 1 Caldwell, David 1 Cesarano, Clemente 1 Choudhury, Pankaj K. 1 Davvaz, Bijan 1 Dhiman, Amit Kumar 1 Frazzoli, Emilio 1 Fulkerson, Brian 1 Garg, Net Ram 1 Gaur, M. S. 1 Goel, Divya 1 Grover, Jyoti 1 Gupta, Akhilesh Kumar 1 Hattori, Hiroshi 1 Jha, Prakash C. 1 Jones, Eagle 1 Kansal, Yogita 1 Khan, Mohammad Saeed 1 Kumar, Uday 1 Kumar, Vivek 1 Laxmi, Vijay 1 Lucet, Yves 1 Marshall, James B. 1 Mason, Richard O. 1 Meeden, Lisa 1 Meltzer, Jason 1 Miyan, Phool 1 Nagar, Shyam Krishna 1 Narain, Surya 1 Park, Choonkil 1 Poh, Leong Hien 1 Puri, Sanjay 1 Quek, Ser-Tong 1 Radford, James 1 Rădulescu, Vicenţiu D. 1 Ramakrishnan, A. G. 1 Ramaswamy, Ravi 1 Ramesh, K. S. 1 Saluja, Heena 1 Samuel, Paulson 1 Santhosh, George 1 Saraj, Mansour 1 Sargurunathan, M. 1 Shashua, Amnon 1 Singh, Kuldip 1 Singh, Suresh B. 1 Singh, Vishnu Pratap 1 Soatto, Stefano 1 Tandon, Ravi 1 Vermani, Lekh Raj 1 Walters, Robert M. 1 Wang, Zhenpei 1 Yadav, Pavan Kumar 1 Zaki, Hasan Firdaus Mohd 1 Zulfiqar, Umair
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#### Serials

 4 Acta Ciencia Indica. Mathematics 4 Sādhanā 3 S$$\vec{\text{e}}$$MA Journal 2 Computers and Fluids 2 Applied Mathematical Modelling 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Algebra Colloquium 2 Far East Journal of Applied Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Numerical Algebra, Control and Optimization 2 Palestine Journal of Mathematics 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 IEEE Transactions on Information Theory 1 International Journal of Non-Linear Mechanics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Pure & Applied Mathematika Sciences 1 Cybernetics and Systems 1 Journal of Information & Optimization Sciences 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Journal of Complexity 1 Communications in Statistics. Simulation and Computation 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Computational and Applied Mathematics 1 Acta Universitatis Matthiae Belii. Series Mathematics 1 Italian Journal of Pure and Applied Mathematics 1 Communications of the Korean Mathematical Society 1 Communications in Contemporary Mathematics 1 Discussiones Mathematicae. General Algebra and Applications 1 Nonlinear Functional Analysis and Applications 1 Applied Mathematics E-Notes 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Computational Methods 1 Journal of Statistical Mechanics: Theory and Experiment 1 American Journal of Physics 1 Lecture Notes in Computer Science 1 Journal of Field Robotics 1 International Mathematical Forum 1 International Electronic Journal of Algebra (IEJA) 1 Algorithms 1 Set-Valued and Variational Analysis 1 International Journal of Mathematics in Operational Research 1 TWMS Journal of Pure and Applied Mathematics 1 Symmetry 1 TWMS Journal of Applied and Engineering Mathematics 1 Axioms 1 Carpathian Mathematical Publications 1 Konuralp Journal of Mathematics 1 Journal of Operators 1 AIMS Mathematics
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#### Fields

 19 Numerical analysis (65-XX) 12 Associative rings and algebras (16-XX) 9 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 General topology (54-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Group theory and generalizations (20-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

21 Publications have been cited 64 times in 62 Documents Cited by Year
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals. Zbl 1168.74047
Bieler, T. R.; Eisenlohr, P.; Roters, F.; Kumar, D.; Mason, D. E.; Crimp, M. A.; Raabe, D.
2009
On generalized derivations and commutativity of prime and semiprime rings. Zbl 1231.16034
Ali, Asma; Kumar, Deepak; Miyan, Phool
2011
Some common fixed point results for rational type contraction mappings in complex valued metric spaces. Zbl 1300.54059
Chandok, Sumit; Kumar, Deepak
2013
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations. Zbl 1382.35269
Hosseini, K.; Kumar, D.; Kaplan, M.; Bejarbaneh, E. Yazdani
2017
Generalized derivations as homomorphisms or as anti-homomorphisms in a prime ring. Zbl 1175.16033
Ali, Asma; Kumar, Deepak
2009
Derivation which acts as a homomorphism or as an anti-homomorphism in a prime ring. Zbl 1146.16015
Ali, Asma; Kumar, Deepak
2007
Some intersection theorems and subgroups determined by certain ideals in integral group rings. II. Zbl 1004.16019
Karan, Ram; Kumar, Deepak; Vermani, L. R.
2002
Design and analysis of a new class of derivative-free optimal order methods for nonlinear equations. Zbl 1404.65042
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2018
Ball convergence of the Newton-Gauss method in Banach space. Zbl 1381.65040
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2017
Model reduction by extended minimal degree optimal Hankel norm approximation. Zbl 1449.93013
Kumar, Deepak; Nagar, S. K.
2014
Modeling and dynamic simulation of mixed feed multi-effect evaporators in paper industry. Zbl 1349.76621
Kumar, Deepak; Kumar, Vivek; Singh, V. P.
2013
Ferrofluid lubrication of cylindrical rollers with cavitation. Zbl 0770.76071
Sinha, P.; Chandra, P.; Kumar, D.
1993
Regularity and multiplicity results for fractional $$(p,q)$$-Laplacian equations. Zbl 1448.35262
Goel, Divya; Kumar, Deepak; Sreenadh, K.
2020
Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time. Zbl 07115099
Kumar, Deepak; Lucet, Yves
2019
$$C^*$$-algebra-valued partial metric space and fixed point theorems. Zbl 07069865
Chandok, Sumit; Kumar, Deepak; Park, Choonkil
2019
Steady separation of flow from an inclined square cylinder with sharp and rounded base. Zbl 1410.76183
Kumar, Deepak; Sourav, Kumar; Sen, Subhankar; Yadav, Pavan Kumar
2018
Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions. Zbl 1444.65019
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2018
On a general class of optimal order multipoint methods for solving nonlinear equations. Zbl 1357.65061
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2017
Augmentation quotients of free group rings. Zbl 1104.20002
Karan, Ram; Kumar, Deepak
2005
Some intersections and identifications in integral group rings. Zbl 1012.20003
Karan, Ram; Kumar, Deepak
2002
Regularity and multiplicity results for fractional $$(p,q)$$-Laplacian equations. Zbl 1448.35262
Goel, Divya; Kumar, Deepak; Sreenadh, K.
2020
Computation of the epsilon-subdifferential of convex piecewise linear-quadratic functions in optimal worst-case time. Zbl 07115099
Kumar, Deepak; Lucet, Yves
2019
$$C^*$$-algebra-valued partial metric space and fixed point theorems. Zbl 07069865
Chandok, Sumit; Kumar, Deepak; Park, Choonkil
2019
Design and analysis of a new class of derivative-free optimal order methods for nonlinear equations. Zbl 1404.65042
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2018
Steady separation of flow from an inclined square cylinder with sharp and rounded base. Zbl 1410.76183
Kumar, Deepak; Sourav, Kumar; Sen, Subhankar; Yadav, Pavan Kumar
2018
Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions. Zbl 1444.65019
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2018
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations. Zbl 1382.35269
Hosseini, K.; Kumar, D.; Kaplan, M.; Bejarbaneh, E. Yazdani
2017
Ball convergence of the Newton-Gauss method in Banach space. Zbl 1381.65040
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2017
On a general class of optimal order multipoint methods for solving nonlinear equations. Zbl 1357.65061
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2017
Model reduction by extended minimal degree optimal Hankel norm approximation. Zbl 1449.93013
Kumar, Deepak; Nagar, S. K.
2014
Some common fixed point results for rational type contraction mappings in complex valued metric spaces. Zbl 1300.54059
Chandok, Sumit; Kumar, Deepak
2013
Modeling and dynamic simulation of mixed feed multi-effect evaporators in paper industry. Zbl 1349.76621
Kumar, Deepak; Kumar, Vivek; Singh, V. P.
2013
On generalized derivations and commutativity of prime and semiprime rings. Zbl 1231.16034
Ali, Asma; Kumar, Deepak; Miyan, Phool
2011
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals. Zbl 1168.74047
Bieler, T. R.; Eisenlohr, P.; Roters, F.; Kumar, D.; Mason, D. E.; Crimp, M. A.; Raabe, D.
2009
Oscillatory MHD flow of blood through an artery with mild stenosis. Zbl 1357.76101
Kumar, S.; Kumar, S.; Kumar, D.
2009
Generalized derivations as homomorphisms or as anti-homomorphisms in a prime ring. Zbl 1175.16033
Ali, Asma; Kumar, Deepak
2009
Derivation which acts as a homomorphism or as an anti-homomorphism in a prime ring. Zbl 1146.16015
Ali, Asma; Kumar, Deepak
2007
Augmentation quotients of free group rings. Zbl 1104.20002
Karan, Ram; Kumar, Deepak
2005
Some intersection theorems and subgroups determined by certain ideals in integral group rings. II. Zbl 1004.16019
Karan, Ram; Kumar, Deepak; Vermani, L. R.
2002
Some intersections and identifications in integral group rings. Zbl 1012.20003
Karan, Ram; Kumar, Deepak
2002
Ferrofluid lubrication of cylindrical rollers with cavitation. Zbl 0770.76071
Sinha, P.; Chandra, P.; Kumar, D.
1993
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#### Cited in 43 Serials

 6 International Journal of Plasticity 3 Beiträge zur Algebra und Geometrie 3 Meccanica 3 Palestine Journal of Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Algebra 2 Circuits, Systems, and Signal Processing 2 Computational Mechanics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 International Journal of Computational Methods 2 Advances in Mathematical Physics 1 Acta Mechanica 1 Communications in Algebra 1 Computers and Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Mathematical Problems in Engineering 1 Mathematical and Computer Modelling of Dynamical Systems 1 Sādhanā 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fixed Point Theory and Applications 1 Asian-European Journal of Mathematics 1 International Journal of Biomathematics 1 Communications in Theoretical Physics 1 Algorithms 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematics in Industry 1 S$$\vec{\text{e}}$$MA Journal 1 Mathematical Sciences 1 Mathematics 1 Asia Pacific Journal of Mathematics 1 Cogent Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Korean Journal of Mathematics
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#### Cited in 23 Fields

 17 Associative rings and algebras (16-XX) 12 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 8 General topology (54-XX) 6 Partial differential equations (35-XX) 6 Biology and other natural sciences (92-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Category theory; homological algebra (18-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)