Edit Profile (opens in new tab) Dimov, Ivan Todor Compute Distance To: Compute Author ID: dimov.ivan-todor Published as: Dimov, Ivan; Dimov, I.; Dimov, I. T.; Dimov, Ivan T.; Dimov, Ivan Todor Documents Indexed: 127 Publications since 1974, including 3 Books 17 Contributions as Editor Reviewing Activity: 84 Reviews Co-Authors: 71 Co-Authors with 126 Joint Publications 901 Co-Co-Authors all top 5 Co-Authors 5 single-authored 36 Zlatev, Zahari 18 Sellier, Jean Michel 17 Faragó, István 17 Georgiev, Krassimir 17 Ostromsky, Tzvetan 13 Havasi, Ágnes 12 Nedjalkov, Mihail 11 Todorov, Venelin 9 Gurov, Todor V. 8 Atanassov, Emanouil I. 8 Georgieva, Rayna 8 Vulkov, Lubin G. 7 Selberherr, Siegfried 5 Karaivanova, Aneta 5 Penzov, Anton A. 4 Weihrauch, Christian 3 Alexandrov, Vassil N. 3 Branford, Simon 3 Ivanovska, Sofiya 3 Lirkov, Ivan D. 3 Sabelfeld, Karl Karlovich 3 Schwaha, Philipp 3 Sendov, Blagovest Khristov 3 Stoilova, Stanislava S. 3 Tonev, Ognyan I. 2 Aleksandrov, V. N. 2 Chernogorova, Tatiana P. 2 Durchova, Mariya K. 2 Fidanova, Stefka 2 Ivanova, D. Y. 2 Jacoboni, Carlo 2 Jaekel, Uwe 2 Kandilarov, Juri D. 2 Koylazov, Vladimir N. 2 Maire, Sylvain 2 Margenov, Svetozar D. 2 Megson, Graham M. 2 Papancheva, R. Y. 2 Tzvetanov, Ilia 2 Vasileska, Dragica 2 Vereecken, Harry 2 Whitlock, Paula A. 1 Andreev, Andreĭ Stefanov 1 Andreev, Andrey Borissov 1 Arsov, G. 1 Atanassov, Krassimir Todorov 1 Blaheta, Radim 1 Bordone, Paolo 1 Brunetti, Rossella 1 Bushev, St. 1 Csomós, Petra 1 Dimitrov, Stoyan Ivanov 1 Dimitrov, Yuri 1 Dimov, T. T. 1 Dimova, Stefka N. 1 Dollfus, Philippe 1 Dubus, Alain 1 Ferry, David K. 1 Georgieva, Raya 1 Kapanova, K. G. 1 Karaivanova, A. N. 1 Kolkovska, Natalia T. 1 Kuchen, Herbert 1 Lazarov, Raytcho D. 1 Markov, Svetoslav Marinovich 1 Mitev, N. 1 Nedyalkov, I. P. 1 Palankovski, V. 1 Querlioz, Damien 1 Racheva, Milena R. 1 Savov, Mladen Svetoslavov 1 Stoltze, H. 1 Sviercoski, Rosangela F. 1 Szirmay-Kalos, László 1 Tan, Chih Jeng Kenneth 1 Thandavan, Ashish 1 Vassilevski, Panayot Spirov 1 Yordanova, P. I. all top 5 Serials 9 Mathematics and Computers in Simulation 8 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 7 Monte Carlo Methods and Applications 7 Lecture Notes in Computer Science 4 Physica A 3 Journal of Computational Physics 3 PLISKA. Studia Mathematica Bulgarica 3 Applied Mathematical Modelling 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Teoretichna i Prilozhna Mekhanika 2 Mathematical and Computer Modelling 2 Parallel Algorithms and Applications 1 Computer Physics Communications 1 Godishnik na Visshite Uchebni Zavedeniya. Tekhnicheska Fizika 1 Journal of Statistical Physics 1 Physics Reports 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Annals of Physics 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Computational Methods in Applied Mathematics 1 Proceedings of the Jangjeon Mathematical Society 1 Central European Journal of Mathematics 1 International Journal of Parallel, Emergent and Distributed Systems 1 Studies in Computational Mathematics 1 Studies in Computational Intelligence 1 International Journal of Differential Equations 1 De Gruyter Series in Applied and Numerical Mathematics 1 De Gruyter Proceedings in Mathematics all top 5 Fields 111 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 21 Quantum theory (81-XX) 18 General and overarching topics; collections (00-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Geophysics (86-XX) 12 Biology and other natural sciences (92-XX) 10 Computer science (68-XX) 8 Integral equations (45-XX) 8 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 339 times in 162 Documents Cited by ▼ Year ▼ Computational and numerical challenges in environmental modelling. Zbl 1120.65103Zlatev, Zahari; Dimov, Ivan 39 2006 Monte Carlo methods for applied scientists. Zbl 1140.65008Dimov, Ivan T. 34 2008 A benchmark study of the Wigner Monte Carlo method. Zbl 1285.81044Sellier, Jean Michel; Nedjalkov, Mihail; Dimov, Ivan; Selberherr, Siegfried 18 2014 A new iterative Monte Carlo approach for inverse matrix problem. Zbl 0936.65025Dimov, I. T.; Dimov, T. T.; Gurov, T. V. 15 1998 Influence of climatic changes on pollution levels in the Balkan peninsula. Zbl 1319.86004Zlatev, Z.; Georgiev, K.; Dimov, I. 11 2013 The many-body Wigner Monte Carlo method for time-dependent ab-initio quantum simulations. Zbl 1351.82088Sellier, J. M.; Dimov, I. 11 2014 A Wigner Monte Carlo approach to density functional theory. Zbl 1349.81132Sellier, J. M.; Dimov, I. 10 2014 An introduction to applied quantum mechanics in the Wigner Monte Carlo formalism. Zbl 1357.81133Sellier, J. M.; Nedjalkov, M.; Dimov, I. 9 2015 Random walk on distant mesh points Monte Carlo methods. Zbl 1081.82579Dimov, I.; Tonev, O. 9 1993 Monte Carlo algorithms: Performance analysis for some computer architectures. Zbl 0802.68020Dimov, Ivan T.; Tonev, Ognyan I. 8 1993 Monte Carlo algorithms for linear problems. Zbl 0965.60023Dimov, I. 8 2000 Monte Carlo algorithm for solving integral equations with polynomial non-linearity. Parallel implementation. Zbl 0965.60024Dimov, I. T.; Gurov, T. V. 8 2000 The Wigner-Boltzmann Monte Carlo method applied to electron transport in the presence of a single dopant. Zbl 1360.35134Sellier, J. M.; Dimov, I. 6 2014 A new optimal Monte Carlo method for calculating integrals of smooth functions. Zbl 0945.65017Atanassov, Emanouil I.; Dimov, Ivan T. 6 1999 Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. 6 2004 Parallel resolvent Monte Carlo algorithms for linear algebra problems. Zbl 1035.65002Dimov, I.; Alexandrov, V.; Karaivanova, A. 6 2001 Three-dimensional version of the Danish-Eulerian model. Zbl 0925.65236Zlatev, Z.; Dimov, I.; Georgiev, K. 6 1996 A new walk on equations Monte Carlo method for solving systems of linear algebraic equations. Zbl 1443.65041Dimov, Ivan; Maire, Sylvain; Sellier, Jean Michel 6 2015 On the simulation of indistinguishable fermions in the many-body Wigner formalism. Zbl 1349.81200Sellier, J. M.; Dimov, I. 6 2015 Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods. Zbl 1368.65115Zlatev, Zahari; Georgiev, Krassimir; Dimov, Ivan 6 2014 Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes 6 2018 Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems. Zbl 1176.65003Dimov, I. T.; Philippe, B.; Karaivanova, A.; Weihrauch, C. 5 2008 Systolic matrix inversion using a Monte Carlo method. Zbl 1049.65541Megson, G. M.; Aleksandrov, V. N.; Dimov, I. T. 5 1994 Monte Carlo algorithms for evaluating Sobol’ sensitivity indices. Zbl 1207.65004Dimov, I.; Georgieva, R. 5 2010 Exact error estimates and optimal randomized algorithms for integration. Zbl 1137.65301Dimov, Ivan T.; Atanassov, Emanouil 4 2007 Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation. Zbl 0860.65144Nedjalkov, M.; Dimov, I.; Rossi, F.; Jacoboni, C. 4 1996 Parallel computations of eigenvalues based on a Monte Carlo approach. Zbl 0903.65032Dimov, Ivan; Karaivanova, Aneta 4 1998 Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation. Zbl 1237.65099Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 3 2011 Testing the sensitivity of air pollution levels to variations of some chemical rate constants. Zbl 0910.92034Dimov, Ivan; Zlatev, Zahari 3 1998 Parallel hybrid Monte Carlo algorithms for matrix computations. Zbl 1120.65300Alexandrov, V.; Atanassov, E.; Dimov, I.; Branford, S.; Thandavan, A.; Weihrauch, C. 3 2005 Monte Carlo algorithms for elliptic differential equations. Data parallel functional approach. Zbl 1049.68952Dimov, I.; Karaivanova, A.; Kuchen, H.; Stoltze, H. 3 1996 Monte Carlo method for numerical integration based on Sobol’s sequences. Zbl 1317.65007Dimov, Ivan; Georgieva, Rayna 3 2011 Studying the sensitivity of pollutants’ concentrations caused by variations of chemical rates. Zbl 1196.92039Dimov, I.; Georgieva, R.; Ivanovska, S.; Ostromsky, Tz.; Zlatev, Z. 3 2010 Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods. Zbl 1348.65114Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2017 Sensitivity studies of pollutant concentrations calculated by the UNI-DEM with respect to the input emissions. Zbl 1321.92081Dimov, Ivan T.; Georgieva, Raya; Ostromsky, Tzvetan; Zlatev, Zahari 3 2013 Advanced algorithms for multidimensional sensitivity studies of large-scale air pollution models based on Sobol sequences. Zbl 1319.65005Dimov, I.; Georgieva, R.; Ostromsky, Tz.; Zlatev, Z. 2 2013 Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. 2 2007 Parallel quasi-Monte Carlo methods for linear algebra problems. Zbl 1060.65502Alexandrov, V.; Atanassov, E.; Dimov, I. 2 2004 Parallel Monte Carlo approach for integration of the rendering equation. Zbl 1137.65302Dimov, Ivan T.; Penzov, Anton A.; Stoilova, Stanislava S. 2 2007 Mixed initial-boundary value problem in particle modeling of microelectronic devices. Zbl 1131.82047Nedjalkov, M.; Vasileska, D.; Dimov, I.; Arsov, G. 2 2007 Using the Wigner function for quantum transport in device simulation. Zbl 1024.81511Nedjalkov, M.; Dimov, I.; Bordone, P.; Brunetti, R.; Jacoboni, C. 2 1997 A numerical approach for determination of sources in transport equations. Zbl 0858.65103Dimov, I.; Jaekel, U.; Vereecken, H. 2 1996 Femtosecond evolution of spatially inhomogeneous carrier excitations. II. Stochastic approach and grid implementation. Zbl 1142.82371Gurov, T.; Atanassov, E.; Dimov, I.; Palankovski, V. 2 2006 A quasi-Monte Carlo method for integration with improved convergence. Zbl 1031.65006Karaivanova, Aneta; Dimov, Ivan; Ivanovska, Sofiya 2 2001 A power method with Monte Carlo iterations. Zbl 0980.65042Dimov, Ivan; Karaivanova, Aneta 2 1999 Monte Carlo algorithms for calculating eigenvalues. Zbl 0885.65041Dimov, I. T.; Karaivanova, A. N.; Yordanova, P. I. 2 1997 Second order shifted approximations for the first derivative. Zbl 07243207Todorov, Venelin; Dimitrov, Yuri; Dimov, Ivan 2 2021 Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2014 Richardson extrapolated numerical methods for treatment of one-dimensional advection equations. Zbl 1317.65003Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2011 Multidimensional sensitivity analysis of large-scale mathematical models. Zbl 1477.65013Dimov, Ivan; Georgieva, Rayna 2 2013 Variance-based sensitivity analysis of the unified Danish Eulerian model according to variations of chemical rates. Zbl 1351.62185Dimov, Ivan; Georgieva, Rayna; Ostromsky, Tzvetan; Zlatev, Zahari 2 2013 Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection. Zbl 1340.65184Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 1 2013 A sensitivity study of the Wigner Monte Carlo method. Zbl 1302.82061Sellier, J. M.; Dimov, I. 1 2015 Balancing of systematic and stochastic errors in Monte Carlo algorithms for integral equations. Zbl 1360.65302Dimov, Ivan; Georgieva, Rayna; Todorov, Venelin 1 2015 Green’s function Monte Carlo algorithms for elliptic problems. Zbl 1042.65003Dimov, I. T.; Papancheva, R. Y. 1 2003 Parallel Monte Carlo sampling scheme for sphere and hemisphere. Zbl 1137.65303Dimov, Ivan T.; Penzov, Anton A.; Stoilova, Stanislava S. 1 2007 Implementation of Monte Carlo algorithms for eigenvalue problem using MPI. Zbl 0913.65031Dimov, I.; Alexandrov, V.; Karaivanova, A. 1 1998 One-dimensional patch-recovery finite element method for fourth-order elliptic problems. Zbl 1118.65383Andreev, Andrey B.; Dimov, Ivan Todor; Racheva, Milena R. 1 2005 Parallel implementation and one year experiments with the Danish Eulerian model. Zbl 1118.86300Ostromsky, Tzvetan; Dimov, Ivan T.; Zlatev, Zahari 1 2005 What Monte Carlo models can do and cannot do efficiently? Zbl 1176.65002Atanassov, Emanouil; Dimov, Ivan T. 1 2008 Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Zbl 0801.00040 1 1994 Parallel Monte Carlo algorithms for information retrieval. Zbl 1026.68048Alexandrov, V. N.; Dimov, I. T.; Karaivanova, A.; Tan, C. J. K. 1 2003 Parallel importance separation and adaptive Monte Carlo algorithms for multiple integrals. Zbl 1032.65005Dimov, Ivan; Karaivanova, Aneta; Georgieva, Rayna; Ivanovska, Sofiya 1 2003 A grid free Monte Carlo algorithm for solving elliptic boundary value problems. Zbl 0978.65001Gurov, T.; Whitlock, P.; Dimov, I. 1 2001 A Monte Carlo branch method for simulation of nonlinear electron quantum kinetics in one-band semiconductor. Zbl 0980.82037Gurov, T.; Nedjalkov, M.; Dimov, I. 1 1999 On a full Monte Carlo approach to quantum mechanics. Zbl 1400.81133Sellier, J. M.; Dimov, I. 1 2016 A cellular automaton for the signed particle formulation of quantum mechanics. Zbl 1400.81074Sellier, J. M.; Kapanova, K. G.; Dimov, I. 1 2017 Absolute stability and implementation of the two-times repeated Richardson extrapolation together with explicit Runge-Kutta methods. Zbl 1434.65092Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2019 Physical scales in the Wigner-Boltzmann equation. Zbl 1268.82035Nedjalkov, M.; Selberherr, S.; Ferry, D. K.; Vasileska, D.; Dollfus, P.; Querlioz, D.; Dimov, I.; Schwaha, P. 1 2013 Numerical analysis of a pollution and environment interaction model. Zbl 07062850Dimov, Ivan; Kandilarov, Juri; Todorov, Venelin; Vulkov, Lubin 1 2019 Latin hypercube sampling and Fibonacci based lattice method comparison for computation of multidimensional integrals. Zbl 1368.65033Dimitrov, Stoyan; Dimov, Ivan; Todorov, Venelin 1 2017 Sensitivity analysis of a large-scale air pollution model: numerical aspects and a highly parallel implementation. Zbl 1280.92076Ostromsky, Tzvetan; Dimov, Ivan; Georgieva, Rayna; Zlatev, Zahari 1 2010 Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2020 Second order shifted approximations for the first derivative. Zbl 07243207Todorov, Venelin; Dimitrov, Yuri; Dimov, Ivan 2 2021 Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2020 Absolute stability and implementation of the two-times repeated Richardson extrapolation together with explicit Runge-Kutta methods. Zbl 1434.65092Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2019 Numerical analysis of a pollution and environment interaction model. Zbl 07062850Dimov, Ivan; Kandilarov, Juri; Todorov, Venelin; Vulkov, Lubin 1 2019 Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes 6 2018 Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods. Zbl 1348.65114Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2017 A cellular automaton for the signed particle formulation of quantum mechanics. Zbl 1400.81074Sellier, J. M.; Kapanova, K. G.; Dimov, I. 1 2017 Latin hypercube sampling and Fibonacci based lattice method comparison for computation of multidimensional integrals. Zbl 1368.65033Dimitrov, Stoyan; Dimov, Ivan; Todorov, Venelin 1 2017 On a full Monte Carlo approach to quantum mechanics. Zbl 1400.81133Sellier, J. M.; Dimov, I. 1 2016 An introduction to applied quantum mechanics in the Wigner Monte Carlo formalism. Zbl 1357.81133Sellier, J. M.; Nedjalkov, M.; Dimov, I. 9 2015 A new walk on equations Monte Carlo method for solving systems of linear algebraic equations. Zbl 1443.65041Dimov, Ivan; Maire, Sylvain; Sellier, Jean Michel 6 2015 On the simulation of indistinguishable fermions in the many-body Wigner formalism. Zbl 1349.81200Sellier, J. M.; Dimov, I. 6 2015 A sensitivity study of the Wigner Monte Carlo method. Zbl 1302.82061Sellier, J. M.; Dimov, I. 1 2015 Balancing of systematic and stochastic errors in Monte Carlo algorithms for integral equations. Zbl 1360.65302Dimov, Ivan; Georgieva, Rayna; Todorov, Venelin 1 2015 A benchmark study of the Wigner Monte Carlo method. Zbl 1285.81044Sellier, Jean Michel; Nedjalkov, Mihail; Dimov, Ivan; Selberherr, Siegfried 18 2014 The many-body Wigner Monte Carlo method for time-dependent ab-initio quantum simulations. Zbl 1351.82088Sellier, J. M.; Dimov, I. 11 2014 A Wigner Monte Carlo approach to density functional theory. Zbl 1349.81132Sellier, J. M.; Dimov, I. 10 2014 The Wigner-Boltzmann Monte Carlo method applied to electron transport in the presence of a single dopant. Zbl 1360.35134Sellier, J. M.; Dimov, I. 6 2014 Studying absolute stability properties of the Richardson extrapolation combined with explicit Runge-Kutta methods. Zbl 1368.65115Zlatev, Zahari; Georgiev, Krassimir; Dimov, Ivan 6 2014 Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2014 Influence of climatic changes on pollution levels in the Balkan peninsula. Zbl 1319.86004Zlatev, Z.; Georgiev, K.; Dimov, I. 11 2013 Sensitivity studies of pollutant concentrations calculated by the UNI-DEM with respect to the input emissions. Zbl 1321.92081Dimov, Ivan T.; Georgieva, Raya; Ostromsky, Tzvetan; Zlatev, Zahari 3 2013 Advanced algorithms for multidimensional sensitivity studies of large-scale air pollution models based on Sobol sequences. Zbl 1319.65005Dimov, I.; Georgieva, R.; Ostromsky, Tz.; Zlatev, Z. 2 2013 Multidimensional sensitivity analysis of large-scale mathematical models. Zbl 1477.65013Dimov, Ivan; Georgieva, Rayna 2 2013 Variance-based sensitivity analysis of the unified Danish Eulerian model according to variations of chemical rates. Zbl 1351.62185Dimov, Ivan; Georgieva, Rayna; Ostromsky, Tzvetan; Zlatev, Zahari 2 2013 Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection. Zbl 1340.65184Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 1 2013 Physical scales in the Wigner-Boltzmann equation. Zbl 1268.82035Nedjalkov, M.; Selberherr, S.; Ferry, D. K.; Vasileska, D.; Dollfus, P.; Querlioz, D.; Dimov, I.; Schwaha, P. 1 2013 Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation. Zbl 1237.65099Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 3 2011 Monte Carlo method for numerical integration based on Sobol’s sequences. Zbl 1317.65007Dimov, Ivan; Georgieva, Rayna 3 2011 Richardson extrapolated numerical methods for treatment of one-dimensional advection equations. Zbl 1317.65003Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2011 Monte Carlo algorithms for evaluating Sobol’ sensitivity indices. Zbl 1207.65004Dimov, I.; Georgieva, R. 5 2010 Studying the sensitivity of pollutants’ concentrations caused by variations of chemical rates. Zbl 1196.92039Dimov, I.; Georgieva, R.; Ivanovska, S.; Ostromsky, Tz.; Zlatev, Z. 3 2010 Sensitivity analysis of a large-scale air pollution model: numerical aspects and a highly parallel implementation. Zbl 1280.92076Ostromsky, Tzvetan; Dimov, Ivan; Georgieva, Rayna; Zlatev, Zahari 1 2010 Monte Carlo methods for applied scientists. Zbl 1140.65008Dimov, Ivan T. 34 2008 Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems. Zbl 1176.65003Dimov, I. T.; Philippe, B.; Karaivanova, A.; Weihrauch, C. 5 2008 What Monte Carlo models can do and cannot do efficiently? Zbl 1176.65002Atanassov, Emanouil; Dimov, Ivan T. 1 2008 Exact error estimates and optimal randomized algorithms for integration. Zbl 1137.65301Dimov, Ivan T.; Atanassov, Emanouil 4 2007 Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. 2 2007 Parallel Monte Carlo approach for integration of the rendering equation. Zbl 1137.65302Dimov, Ivan T.; Penzov, Anton A.; Stoilova, Stanislava S. 2 2007 Mixed initial-boundary value problem in particle modeling of microelectronic devices. Zbl 1131.82047Nedjalkov, M.; Vasileska, D.; Dimov, I.; Arsov, G. 2 2007 Parallel Monte Carlo sampling scheme for sphere and hemisphere. Zbl 1137.65303Dimov, Ivan T.; Penzov, Anton A.; Stoilova, Stanislava S. 1 2007 Computational and numerical challenges in environmental modelling. Zbl 1120.65103Zlatev, Zahari; Dimov, Ivan 39 2006 Femtosecond evolution of spatially inhomogeneous carrier excitations. II. Stochastic approach and grid implementation. Zbl 1142.82371Gurov, T.; Atanassov, E.; Dimov, I.; Palankovski, V. 2 2006 Parallel hybrid Monte Carlo algorithms for matrix computations. Zbl 1120.65300Alexandrov, V.; Atanassov, E.; Dimov, I.; Branford, S.; Thandavan, A.; Weihrauch, C. 3 2005 One-dimensional patch-recovery finite element method for fourth-order elliptic problems. Zbl 1118.65383Andreev, Andrey B.; Dimov, Ivan Todor; Racheva, Milena R. 1 2005 Parallel implementation and one year experiments with the Danish Eulerian model. Zbl 1118.86300Ostromsky, Tzvetan; Dimov, Ivan T.; Zlatev, Zahari 1 2005 Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. 6 2004 Parallel quasi-Monte Carlo methods for linear algebra problems. Zbl 1060.65502Alexandrov, V.; Atanassov, E.; Dimov, I. 2 2004 Green’s function Monte Carlo algorithms for elliptic problems. Zbl 1042.65003Dimov, I. T.; Papancheva, R. Y. 1 2003 Parallel Monte Carlo algorithms for information retrieval. Zbl 1026.68048Alexandrov, V. N.; Dimov, I. T.; Karaivanova, A.; Tan, C. J. K. 1 2003 Parallel importance separation and adaptive Monte Carlo algorithms for multiple integrals. Zbl 1032.65005Dimov, Ivan; Karaivanova, Aneta; Georgieva, Rayna; Ivanovska, Sofiya 1 2003 Parallel resolvent Monte Carlo algorithms for linear algebra problems. Zbl 1035.65002Dimov, I.; Alexandrov, V.; Karaivanova, A. 6 2001 A quasi-Monte Carlo method for integration with improved convergence. Zbl 1031.65006Karaivanova, Aneta; Dimov, Ivan; Ivanovska, Sofiya 2 2001 A grid free Monte Carlo algorithm for solving elliptic boundary value problems. Zbl 0978.65001Gurov, T.; Whitlock, P.; Dimov, I. 1 2001 Monte Carlo algorithms for linear problems. Zbl 0965.60023Dimov, I. 8 2000 Monte Carlo algorithm for solving integral equations with polynomial non-linearity. Parallel implementation. Zbl 0965.60024Dimov, I. T.; Gurov, T. V. 8 2000 A new optimal Monte Carlo method for calculating integrals of smooth functions. Zbl 0945.65017Atanassov, Emanouil I.; Dimov, Ivan T. 6 1999 A power method with Monte Carlo iterations. Zbl 0980.65042Dimov, Ivan; Karaivanova, Aneta 2 1999 A Monte Carlo branch method for simulation of nonlinear electron quantum kinetics in one-band semiconductor. Zbl 0980.82037Gurov, T.; Nedjalkov, M.; Dimov, I. 1 1999 A new iterative Monte Carlo approach for inverse matrix problem. Zbl 0936.65025Dimov, I. T.; Dimov, T. T.; Gurov, T. V. 15 1998 Parallel computations of eigenvalues based on a Monte Carlo approach. Zbl 0903.65032Dimov, Ivan; Karaivanova, Aneta 4 1998 Testing the sensitivity of air pollution levels to variations of some chemical rate constants. Zbl 0910.92034Dimov, Ivan; Zlatev, Zahari 3 1998 Implementation of Monte Carlo algorithms for eigenvalue problem using MPI. Zbl 0913.65031Dimov, I.; Alexandrov, V.; Karaivanova, A. 1 1998 Using the Wigner function for quantum transport in device simulation. Zbl 1024.81511Nedjalkov, M.; Dimov, I.; Bordone, P.; Brunetti, R.; Jacoboni, C. 2 1997 Monte Carlo algorithms for calculating eigenvalues. Zbl 0885.65041Dimov, I. T.; Karaivanova, A. N.; Yordanova, P. I. 2 1997 Three-dimensional version of the Danish-Eulerian model. Zbl 0925.65236Zlatev, Z.; Dimov, I.; Georgiev, K. 6 1996 Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation. Zbl 0860.65144Nedjalkov, M.; Dimov, I.; Rossi, F.; Jacoboni, C. 4 1996 Monte Carlo algorithms for elliptic differential equations. Data parallel functional approach. Zbl 1049.68952Dimov, I.; Karaivanova, A.; Kuchen, H.; Stoltze, H. 3 1996 A numerical approach for determination of sources in transport equations. Zbl 0858.65103Dimov, I.; Jaekel, U.; Vereecken, H. 2 1996 Systolic matrix inversion using a Monte Carlo method. Zbl 1049.65541Megson, G. M.; Aleksandrov, V. N.; Dimov, I. T. 5 1994 Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Zbl 0801.00040 1 1994 Random walk on distant mesh points Monte Carlo methods. Zbl 1081.82579Dimov, I.; Tonev, O. 9 1993 Monte Carlo algorithms: Performance analysis for some computer architectures. Zbl 0802.68020Dimov, Ivan T.; Tonev, Ognyan I. 8 1993 all cited Publications top 5 cited Publications all top 5 Cited by 200 Authors 46 Dimov, Ivan Todor 26 Zlatev, Zahari 23 Faragó, István 19 Havasi, Ágnes 14 Sellier, Jean Michel 12 Georgiev, Krassimir 9 Ostromsky, Tzvetan 8 Todorov, Venelin 7 Fathi Vajargah, Behrouz 7 Maire, Sylvain 5 Shao, Sihong 4 Acebrón, Juan A. 4 Gurov, Todor V. 4 Nedjalkov, Mihail 4 Vulkov, Lubin G. 3 Atanassov, Emanouil I. 3 Chernogorova, Tatiana P. 3 Csomós, Petra 3 De Luigi, Christophe 3 Ebrahimi, Morteza 3 Farnoosh, Rahman 3 Sabelfeld, Karl Karlovich 3 Xiong, Yunfeng 2 Alexandrov, Vassil N. 2 Bayleyegn, Teshome 2 Chatterjee, Kausik 2 Chen, Zhenzhu 2 Dimitrov, Yuri 2 Ellinghaus, Paul 2 Gleich, David F. 2 Hassanzadeh, Zeinab 2 Karaivanova, Aneta 2 Ladics, Tamás 2 Lagzi, István 2 Lirkov, Ivan D. 2 Mehrdoust, Farshid 2 Mészáros, Róbert 2 Milewski, Slawomir 2 Ourbih-Tari, Megdouda 2 Wagner, Wolfgang 1 Aalaei, Mahboubeh 1 Aleksandrov, V. N. 1 Aloui, Abdelouhab 1 Andreev, Andrey Borissov 1 Apostolov, Stoyan R. 1 Bátkai, András 1 Belomestny, D. V. 1 Belomestny, Denis 1 Blaheta, Radim 1 Blanchet, Jose H. 1 Bordone, Paolo 1 Borzì, Alfio 1 Bose, Anirban 1 Botchev, Mikhail A. 1 Boukabour, Seloua 1 Bragin, Michael D. 1 Brunetti, Rossella 1 Bui, Tinh Quoc 1 Cai, Wei 1 Cai, Zhenning 1 Cervenka, Johann 1 Coope, Ian D. 1 Dai, Ruxin 1 Datcheva, Maria 1 de Bruyn Kops, Stephen M. 1 Deaconu, Madalina 1 Dimitriu, Gabriel 1 Dimitrov, Stoyan Ivanov 1 Dimov, T. T. 1 Dorda, Antonius 1 Duan, Huoyuan 1 Ebrahimi, Somayeh 1 Elshebli, Maryem A. T. 1 Esquivel-Flores, Oscar A. 1 Etemadi, Nasrollah 1 Fathi Vajargah, Kianoush 1 Feng, Yuehua 1 Forghani-elahabad, Majid 1 Furtmaier, O. 1 Georgieva, Raya 1 Georgieva, Rayna 1 Giri, Subhajit 1 Glynn, Peter W. 1 Gnandt, Boglárka 1 Gnecco, Giorgio 1 Gori, Marco 1 Guebli, Sofia 1 Gurova, Silvi-Maria 1 Hao, Hui 1 Herrero, José R. 1 Herrmann, Samuel 1 Hong, Zhimin 1 Horváth, Robert A. 1 Hosseini, Bamdad 1 Hu, Guanghui 1 Idjis, Khelidja 1 Iliev, Oleg P. 1 Iosipoi, L. S. 1 Ivanova, D. Y. 1 Ivanovska, Sofiya ...and 100 more Authors all top 5 Cited in 51 Serials 17 Journal of Computational and Applied Mathematics 16 Computers & Mathematics with Applications 14 Journal of Computational Physics 9 Mathematics and Computers in Simulation 7 Applied Mathematics and Computation 7 Applied Mathematical Modelling 5 Monte Carlo Methods and Applications 4 Central European Journal of Mathematics 3 SIAM Journal on Scientific Computing 2 Computer Physics Communications 2 Physica A 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 Parallel Algorithms and Applications 1 Advances in Applied Probability 1 Computers and Fluids 1 Journal of Fluid Mechanics 1 Physics Reports 1 Mathematics of Computation 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Neural Computation 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 Computational Optimization and Applications 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Soft Computing 1 Journal of Applied Statistics 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Stochastics 1 International Journal of Parallel, Emergent and Distributed Systems 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Advances in Numerical Analysis 1 International Journal of Differential Equations 1 Statistics and Computing 1 ISRN Computational Mathematics 1 Computational Methods for Differential Equations 1 Communications on Applied Mathematics and Computation all top 5 Cited in 30 Fields 131 Numerical analysis (65-XX) 30 Partial differential equations (35-XX) 24 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Statistics (62-XX) 11 Fluid mechanics (76-XX) 11 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 10 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year