Edit Profile (opens in new tab) Rosinger, Elemer E. Compute Distance To: Compute Author ID: rosinger.elemer-e Published as: Rosinger, Elemer E.; Rosinger, E. E.; Rosinger, Elemér E.; Rosinger, E.; Rosinger, Elemér; Rosinger, El. more...less Documents Indexed: 58 Publications since 1962, including 14 Books Co-Authors: 14 Co-Authors with 21 Joint Publications 430 Co-Co-Authors all top 5 Co-Authors 36 single-authored 3 Khrennikov, Andreĭ Yur’evich 3 Mallios, Anastasios 2 Anguelov, Roumen 2 Mond, Bertram 2 Potgieter, Petrus H. 2 van Niekerk, Frederik D. 2 van Zyl, Gusti Augustinus Johannes 2 Walus, Yvonne E. 1 Ben-Israel, Adi 1 Ben-Tal, Aharon 1 Meiring, Anna Francina 1 Oberguggenberger, Michael B. 1 Omolo-Ongati, Naftali 1 Penescu, C. all top 5 Serials 5 Acta Applicandae Mathematicae 4 Studii și Cercetări Matematice 4 North-Holland Mathematics Studies 3 Applied Mathematical Modelling 2 Journal of Optimization Theory and Applications 2 European Journal of Operational Research 2 Lie Groups and their Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of the Institute of Mathematics and its Applications 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Aequationes Mathematicae 1 Communications on Applied Nonlinear Analysis 1 Natural Computing 1 Foundations of Physics 1 Comunicările Academiei Republicii Populare Romîne 1 Academia Republicii Populare Romîne, Studii și Cercetări Matematice 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications all top 5 Fields 29 Partial differential equations (35-XX) 15 Numerical analysis (65-XX) 14 Functional analysis (46-XX) 9 Operations research, mathematical programming (90-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 276 times in 145 Documents Cited by ▼ Year ▼ Generalized solutions of nonlinear partial differential equations. Zbl 0635.46033Rosinger, Elemér E. 38 1987 Nonlinear partial differential equations. An algebraic view of generalized solutions. Zbl 0717.35001Rosinger, Elemér E. 24 1990 Space-time foam dense singularities and de Rham cohomology. Zbl 1005.46020Mallios, Anastasios; Rosinger, Elemer E. 19 2001 Abstract differential geometry, differential algebras of generalized functions, and de Rham cohomology. Zbl 0929.18005Mallios, Anastasios; Rosinger, Elemér E. 16 1999 Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001Oberguggenberger, Michael B.; Rosinger, Elemér E. 15 1994 Nonlinear equivalence, reduction of PDEs to ODEs and fast convergent numerical methods. Zbl 0496.65043Rosinger, E. E. 15 1982 Nonlinear partial differential equations. Sequential and weak solutions. Zbl 0447.35001Rosinger, Elemer E. 14 1980 Distributions and nonlinear partial differential equations. Zbl 0469.35001Rosinger, Elemer E. 13 1978 Solving large classes of nonlinear systems of PDEs. Zbl 1130.35026Anguelov, Roumen; Rosinger, Elemér E. 11 2007 Stability and convergence for non-linear difference schemes are equivalent. Zbl 0459.65066Rosinger, E. E. 10 1980 Hausdorff continuous solutions of nonlinear partial differential equations through the order completion method. Zbl 1330.35080Anguelov, Roumen; Rosinger, Elemer E. 10 2005 A Helly-type theorem and semiinfinite programming. Zbl 0444.49023Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A. 8 1979 Duality and alternative in multiobjective optimization. Zbl 0333.49030Rosinger, Elemer E. 8 1977 Interactive algorithm for multiobjective optimization. Zbl 0445.90081Rosinger, E. E. 7 1981 Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs. Zbl 0733.35002Rosinger, Elemer E. 7 1990 Differential algebras with dense singularities on manifolds. Zbl 1129.83013Rosinger, Elemér E. 6 2007 Dense singularities and de Rham cohomology. Zbl 1077.18008Mallios, Anastasios; Rosinger, Elemer E. 5 2002 Propagation of round-off errors and the role of stability in numerical methods for linear and nonlinear PDEs. Zbl 0622.65072Rosinger, E. E. 5 1985 How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities. Zbl 1037.46042Rosinger, Elemer E. 4 2001 Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE’s. Zbl 0811.65066Rosinger, E. E. 4 1994 Characterization for the solvability of nonlinear partial differential equations. Zbl 0792.35003Rosinger, Elemer E. 4 1992 The foundations of distributions \({\mathcal D}'_ n\) in pseudo-topological algebras. Zbl 0152.32602Rosinger, E. 4 1966 Group invariance of generalized solutions obtained through the algebraic method. Zbl 0803.35005Rosinger, Elemér E.; Walus, Yvonne E. 4 1994 Multiobjective duality without convexity. Zbl 0393.90088Rosinger, Elemer E. 3 1978 Parametric Lie group actions on global generalized solutions of nonlinear PDEs. Including a solution to Hilbert’s fifth problem. Zbl 0934.35003Rosinger, Elemér E. 3 1998 Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem. Zbl 1203.35010Rosinger, Elemér E. 3 2010 Espaces pseudotopologiques. L’immersion de l’espace des distributions \({\mathcal D}'_ n\) en algebres. Zbl 0169.16201Rosinger, E. 3 1968 Aids for decision making with conflicting objectives. Zbl 0503.90055Rosinger, Elemer E. 2 1983 Nonsymmetric Dirac distributions in scattering theory. Zbl 0352.34021Rosinger, Elemer E. 1 1976 Division of distributions. Zbl 0321.46031Rosinger, Elemer E. 1 1976 Group invariance of global generalized solutions of nonlinear PDEs in nowhere dense algebras. Zbl 1113.35310Rosinger, E. E.; Walus, Y. E. 1 1994 Graded tensor products and the problem of tensor grade computation and reduction. Zbl 1258.81014Khrennikov, A. Yu.; Rosinger, E. E.; van Zyl, A. J. 1 2012 Definition de l’espace des distributions D’par le completement d’un espace de fonctions continues. Zbl 0126.11703Rosinger, E. 1 1962 Structures pseudotopologiques. I–III. Zbl 0163.44402Rosinger, Elemér 1 1965 Interactive weight assessment in multiple attribute decision making. Zbl 0569.90051Mond, B.; Rosinger, E. E. 1 1985 Application of a general optimally accurate unconditionally stable explicit method to linear and nonlinear Schrödinger equations. Zbl 0856.65101Rosinger, E. E.; van Niekerk, F. D. 1 1994 \({\mathcal L}\)-convergence paradox in numerical methods for PDEs. Zbl 0725.65085Rosinger, Elemer E. 1 1991 Beyond preference information based multiple criteria decision making. Zbl 0732.90044Rosinger, Elemér E. 1 1991 Output concepts for accelerated Turing machines. Zbl 1206.68119Potgieter, Petrus H.; Rosinger, Elemér E. 1 2010 Graded tensor products and the problem of tensor grade computation and reduction. Zbl 1258.81014Khrennikov, A. Yu.; Rosinger, E. E.; van Zyl, A. J. 1 2012 Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem. Zbl 1203.35010Rosinger, Elemér E. 3 2010 Output concepts for accelerated Turing machines. Zbl 1206.68119Potgieter, Petrus H.; Rosinger, Elemér E. 1 2010 Solving large classes of nonlinear systems of PDEs. Zbl 1130.35026Anguelov, Roumen; Rosinger, Elemér E. 11 2007 Differential algebras with dense singularities on manifolds. Zbl 1129.83013Rosinger, Elemér E. 6 2007 Hausdorff continuous solutions of nonlinear partial differential equations through the order completion method. Zbl 1330.35080Anguelov, Roumen; Rosinger, Elemer E. 10 2005 Dense singularities and de Rham cohomology. Zbl 1077.18008Mallios, Anastasios; Rosinger, Elemer E. 5 2002 Space-time foam dense singularities and de Rham cohomology. Zbl 1005.46020Mallios, Anastasios; Rosinger, Elemer E. 19 2001 How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities. Zbl 1037.46042Rosinger, Elemer E. 4 2001 Abstract differential geometry, differential algebras of generalized functions, and de Rham cohomology. Zbl 0929.18005Mallios, Anastasios; Rosinger, Elemér E. 16 1999 Parametric Lie group actions on global generalized solutions of nonlinear PDEs. Including a solution to Hilbert’s fifth problem. Zbl 0934.35003Rosinger, Elemér E. 3 1998 Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001Oberguggenberger, Michael B.; Rosinger, Elemér E. 15 1994 Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE’s. Zbl 0811.65066Rosinger, E. E. 4 1994 Group invariance of generalized solutions obtained through the algebraic method. Zbl 0803.35005Rosinger, Elemér E.; Walus, Yvonne E. 4 1994 Group invariance of global generalized solutions of nonlinear PDEs in nowhere dense algebras. Zbl 1113.35310Rosinger, E. E.; Walus, Y. E. 1 1994 Application of a general optimally accurate unconditionally stable explicit method to linear and nonlinear Schrödinger equations. Zbl 0856.65101Rosinger, E. E.; van Niekerk, F. D. 1 1994 Characterization for the solvability of nonlinear partial differential equations. Zbl 0792.35003Rosinger, Elemer E. 4 1992 \({\mathcal L}\)-convergence paradox in numerical methods for PDEs. Zbl 0725.65085Rosinger, Elemer E. 1 1991 Beyond preference information based multiple criteria decision making. Zbl 0732.90044Rosinger, Elemér E. 1 1991 Nonlinear partial differential equations. An algebraic view of generalized solutions. Zbl 0717.35001Rosinger, Elemér E. 24 1990 Global version of the Cauchy-Kovalevskaia theorem for nonlinear PDEs. Zbl 0733.35002Rosinger, Elemer E. 7 1990 Generalized solutions of nonlinear partial differential equations. Zbl 0635.46033Rosinger, Elemér E. 38 1987 Propagation of round-off errors and the role of stability in numerical methods for linear and nonlinear PDEs. Zbl 0622.65072Rosinger, E. E. 5 1985 Interactive weight assessment in multiple attribute decision making. Zbl 0569.90051Mond, B.; Rosinger, E. E. 1 1985 Aids for decision making with conflicting objectives. Zbl 0503.90055Rosinger, Elemer E. 2 1983 Nonlinear equivalence, reduction of PDEs to ODEs and fast convergent numerical methods. Zbl 0496.65043Rosinger, E. E. 15 1982 Interactive algorithm for multiobjective optimization. Zbl 0445.90081Rosinger, E. E. 7 1981 Nonlinear partial differential equations. Sequential and weak solutions. Zbl 0447.35001Rosinger, Elemer E. 14 1980 Stability and convergence for non-linear difference schemes are equivalent. Zbl 0459.65066Rosinger, E. E. 10 1980 A Helly-type theorem and semiinfinite programming. Zbl 0444.49023Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A. 8 1979 Distributions and nonlinear partial differential equations. Zbl 0469.35001Rosinger, Elemer E. 13 1978 Multiobjective duality without convexity. Zbl 0393.90088Rosinger, Elemer E. 3 1978 Duality and alternative in multiobjective optimization. Zbl 0333.49030Rosinger, Elemer E. 8 1977 Nonsymmetric Dirac distributions in scattering theory. Zbl 0352.34021Rosinger, Elemer E. 1 1976 Division of distributions. Zbl 0321.46031Rosinger, Elemer E. 1 1976 Espaces pseudotopologiques. L’immersion de l’espace des distributions \({\mathcal D}'_ n\) en algebres. Zbl 0169.16201Rosinger, E. 3 1968 The foundations of distributions \({\mathcal D}'_ n\) in pseudo-topological algebras. Zbl 0152.32602Rosinger, E. 4 1966 Structures pseudotopologiques. I–III. Zbl 0163.44402Rosinger, Elemér 1 1965 Definition de l’espace des distributions D’par le completement d’un espace de fonctions continues. Zbl 0126.11703Rosinger, E. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 155 Authors 13 Rosinger, Elemer E. 12 van der Walt, Jan Harm 9 Oberguggenberger, Michael B. 7 Colombeau, Jean-François 5 Raptis, Ioannis A. 4 Anguelov, Roumen 4 Juriaans, Stanley Orlando 4 Mallios, Anastasios 4 Pilipović, Stevan 4 Zafiris, Elias 3 Aragona, Jorge 3 Garcia, Antônio Ronaldo Gomes 3 Kunzinger, Michael 3 Nigsch, Eduard Albert 3 Průša, Vít 3 Rajagopal, Kumbakonam Ramamani 3 Scarpalezos, Dimitris 3 Shelkovich, Vladimir M. 2 Agbebaku, Dennis Ferdinand 2 Biagioni, Hebe A. 2 Borwein, Jonathan Michael 2 Dăneţ, Nicolae 2 Delcroix, Antoine 2 Heibig, Arnaud 2 Konjik, Sanja 2 Langlais, Michel R. 2 Málek, Josef 2 Nedeljkov, Marko 2 Papatriantafillou, Maria H. 2 Rajter-Ćirić, Danijela 2 Rodrigues, W. M. 2 Sarrico, Carlos Orlando R. 2 Valmorin, Vincent S. 1 Adamczewski, M. 1 Aimar, Hugo A. 1 Aksoy, Yasemin 1 Antonevich, Anatolij Borisovich 1 Atanackovic, Teodor M. 1 Baglini, Lorenzo Luperi 1 Baty, Roy S. 1 Bedziuk, Nadzeya V. 1 Ben-Ayed, Omar 1 Benci, Vieri 1 Benson, Harold P. 1 Bernard, Séverine 1 Berning jun., John A. 1 Bitran, Gabriel R. 1 Boldo, Sylvie 1 Brufau, Pilar 1 Bu, Charles 1 Burgin, Mark 1 Chakrabarti, Partha Pratim 1 Chistyakov, Vyacheslav V. 1 Clément, François 1 Damsma, M. 1 Danilov, Vladimir G. 1 Dasgupta, Pallab 1 Dauer, Jerald P. 1 de Roever, J. W. 1 DeSarkar, S. C. 1 Dias, Nuno Costa 1 Dinh The Luc 1 Drachal, Krzysztof 1 Evans, David John 1 Farassat, F. 1 Fazio, Riccardo 1 Ferrero, Oscar 1 Filliâtre, Jean-Christophe 1 Flachs, Jacob 1 Galand, Lucie 1 Garcia-Navarro, Pilar 1 Gerdt, Vladimir Petrovich 1 Giannessi, Franco 1 Gómez, Ivana 1 Gramchev, Todor V. 1 Grinold, Richard C. 1 Guinot, Vincent 1 Gulledge, Thomas R. jun. 1 Hajinezhad, H. 1 Hormann, Gunther 1 Hron, Jaroslav 1 Jahn, Johannes 1 Jorge, Cristina 1 Kalenda, Ondřej F. K. 1 Karney, Dennis F. 1 Kawasaki, Hidefumi 1 Khrennikov, Andreĭ Yur’evich 1 Lasserre, Jean-Bernard 1 Leroux, Alain-Yves 1 López-Cerdá, Marco Antonio 1 Magron, Victor 1 Marinov, K. B. 1 Markov, Svetoslav Marinovich 1 Marti, Jean-André 1 Martínez-Legaz, Juan-Enrique 1 Maslov, Viktor Pavlovich 1 Mayero, Micaela 1 Meika, Manfred 1 Meiring, Anna Francina 1 Melquiond, Guillaume ...and 55 more Authors all top 5 Cited in 72 Serials 16 Journal of Mathematical Analysis and Applications 8 International Journal of Theoretical Physics 6 Acta Applicandae Mathematicae 5 Journal of Optimization Theory and Applications 5 Mathematical Programming 5 Monatshefte für Mathematik 5 European Journal of Operational Research 4 Transactions of the American Mathematical Society 3 Computers & Mathematics with Applications 3 Journal of Differential Equations 3 Computers & Operations Research 3 Applied Mathematical Modelling 3 Integral Transforms and Special Functions 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Mathematical Notes 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Czechoslovak Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Operations Research Letters 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Abstract and Applied Analysis 2 Positivity 2 Advances in Mathematical Physics 1 Analysis Mathematica 1 International Journal of Control 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 Journal of Approximation Theory 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Programming and Computer Software 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Journal of Information & Optimization Sciences 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Journal of Automated Reasoning 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Journal of Analysis 1 Russian Journal of Mathematical Physics 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Reliable Computing 1 The Journal of Fourier Analysis and Applications 1 Novi Sad Journal of Mathematics 1 Computational Geosciences 1 Trudy Instituta Matematiki 1 Nonlinear Analysis. Real World Applications 1 Sādhanā 1 Natural Computing 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Logic and Analysis 1 São Paulo Journal of Mathematical Sciences all top 5 Cited in 35 Fields 57 Partial differential equations (35-XX) 56 Functional analysis (46-XX) 27 Operations research, mathematical programming (90-XX) 21 Numerical analysis (65-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Relativity and gravitational theory (83-XX) 9 Ordinary differential equations (34-XX) 8 General topology (54-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 7 Quantum theory (81-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year