• Michal Doucha, 2018: Prize for Young Mathematicians (Czech Mathematical Society)
  
• Václav Mácha, 2018: Prize for Young Mathematicians (Czech Mathematical Society)
  
• Martin Doležal, 2017: Otto Wichterle Award for young researches (Czech Academy of Sciences)
  
• Eduard Feireisl, 2017: Gold Medal of the Charles University
  
• Eduard Feireisl (2017): Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Czech Academy of Sciences)
  
• Pavel Pudlák (2017): Neuron Award for Contribution to Science
  
• Jan Hladký, 2016: Otto Wichterle Award for young researches (Czech Academy of Sciences)
  
• Emil Jeřábek, 2016: Neuron Award for Promising Young Scientists
  
• Marie Tichá, 2016: Prize for remarkable research-oriented publication (Czech Association for Pedagogical Research)
  
• František Neuman, 2016: Prize of the Southmoravian Region for a contribution to science
  
• Jiří Vanžura, 2016: Silver Medal of the Faculty of Mathematics, Physics and Informatics of the Komenský University in Bratislava
  
• Marián Fabian, 2016: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Czech Academy of Sciences)
  
• Vladimír Müller, 2016: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Czech Academy of Sciences)
  
• Ondřej Kreml, 2015: Otto Wichterle Award for young researches (Czech Academy of Sciences)
  
• Eduard Feireisl, 2015: Neuron Award for Contribution to Science
  
• Petr Hájek, 2015: Rector's Award of the 1st degree for prestigious publication (Czech Technical University in Prague)
  
• Martin Markl, 2015: Distinguished Ordway Visitor, University of Minnesota, Minneapolis, USA
  
• Vladimír Müller, 2015: Medal of the Faculty of Enviromental Engineering and Land Surveying, University of Agriculture, Cracow, Poland
  
• Milan Práger, 2015: Honorary Medal of the Czech Mathematical Society, for his contribution to development and promotion of computational mathematics
  
• Emil Vitásek, 2015: Honorary Medal of the Czech Mathematical Society, for his contribution to development and promotion of computational mathematics
  
• Alois Kufner, 2014: Honorary Medal of the Czech Mathematical Society, for his lifelong contribution to the development of the Czech mathematics and of the Union of Czech Mathematicians and Physicists
  
• Pavel Krejčí, 2014: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Academy of Sciences of the Czech Republic)
  
• Miroslav Fiedler, 2013: Josef Hlávka Honorary Medal to nestors and founding personalities of the Czech science and art for their lifelong work
  
• Michal Křížek, 2013: Prize for promotion and popularization of research, experimental development and innovations, awarded by the President of the Academy of Sciences of the Czech Republic
  
• Jakub Šístek, 2013: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Karel Segeth, 2013: Honorary Medal of the Czech Mathematical Society, for his lifelong contribution to mathematics
  
• Vladimír Müller, 2013: Szökefalvi-Nagy Medal (Bolyai Institute, University of Szeged), to honour a distinguished mathematician who has published significant deep results in Acta Sci. Math. (Szeged)
  
• Alois Kufner, 2013: Commemorative Medal of the University of West Bohemia, Plzeň, for his long-term work for the University and its development
  
• Michal Křížek, 2012: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Academy of Sciences of the Czech Republic)
  
• Michal Křížek, 2012: Honorary Medal of the University in Jyväskylä
  
• Miroslav Fiedler, 2012: The Neuron Prize for selected researchers, awarded by Karel Janeček Foundation for Support of Science and Research
  
• Tomáš Masopust, 2011: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Neil Dillip Thapen, 2011: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Ivo Vrkoč, 2011: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Academy of Sciences of the Czech Republic)
  
• Emil Jeřábek, 2010: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Jiří Šremr, 2010: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Pavel Pudlák, Emil Jeřábek, Jan Krajíček and Jiří Sgall, 2010: Academy of Sciences of the Czech Republic Award for Outstanding Results of Major Scientific Importance for the scientific outcome Theories, proofs and computational complexity
  
• Calin Ambrozie, 2010: Simion Stoilow Prize of the Romanian Academy
  
• Michal Křížek, 2010: Josef Hlávka Prize for scientific literature
  
• Pavel Krejčí, 2010: John-von-Neumann-Preis / Gastprofessur, Technische Universität München
  
• Jiří Rákosník, 2010: Honorary Medal of the Czech Mathematical Society
  
• Michal Koucký, 2010: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Eduard Feireisl, 2009: Academy of Sciences of the Czech Republic Award for Outstanding Scientific Results of Major Significance for the scientific result Singular limits in thermodynamics of viscous fluids (together with Antonín Novotný, Université du Sud Toulon Var, France)
  
• András Rontó, 2008: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Ivan Hlaváček, 2008: Medal of the Czech Mathematical Society
  
• Jiří Rákosník, 2008: Jur Hronec Honorary Plaque of the Slovak Academy of Sciences
  
• Bohuslav Balcar, 2008: Shoenfield Prize of the Associations for Symbolic Logic
  
• Růžena Roháčková, 2008: Note of thanks of the President of the Academy of Sciences of the Czech Republic
  
• Tomáš Vejchodský, 2007: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Jindřich Zapletal, 2007: J. E. Purkyně Fellowship (Academy of Sciences of the Czech Republic)
  
• Eduard Feireisl, 2007: Academic Award - Praemium Academiae (Academy of Sciences of the Czech Republic)
  
• Miroslav Fiedler, 2007: Medal of Merit, First Grade, awarded by the President of the Czech Republic
  
• Miroslav Engliš, 2007: Prize of the Learned Society of the Czech Republic
  
• Jaroslav Kurzweil, 2006: National Prize of the Czech Government "Česká hlava"
  
• Jaroslav Kurzweil, 2006: Medal of the Learned Society of the Czech Republic
  
• Miroslav Fiedler, 2006: Honorary Medal „De Scientia et Humanitate Optime Meritis“ of the Academy of Sciences of the Czech Republic
  
• Jan Kolář, 2006: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Jaroslav Kurzweil, 2006: Medal of the Union of Czech Mathematicians and Physicists
  
• Alois Kufner, 2005: Prize of the Minister of Education, Youth, and Sports for his monograph Weighted Inequalities of Hardy Type
  
• Robert Hakl, 2005: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Pavel Řehák, 2005: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Ivan Hlaváček, 2005: Prize of the Learned Society of the Czech Republic
  
• Alena Pravdová, 2004: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Eduard Feireisl, 2004: Academy of Sciences of the Czech Republic Award for Outstanding Scientific Results of Major Significance (for collection of works on mathematical theory of the dynamics of compressible fluids complete with a monograph Dynamics of Viscous Compressible Fluids)
  
• Ivan Straškraba, 2004: Prize of the Minister of Education, Youth and Sports for the monograph "Mathematical and Computational Methods for Compressible Flow" (together with M. Feistauer and J. Felcman)
  
• Vojtěch Pravda, 2004: Josef Hlávka Prize
  
• Marian Fabian, 2004: President of the Czech Science Foundation Prize for Outstanding Scientific Results
  
• Eva Matoušková, 2003: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Šárka Nečasová, 2003: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Marian Fabián, Petr Hájek and Jan Pelant, 2003: Medal of the Minister of Education, Youth and Sports
  
• Miroslav Fiedler, 2003: Golden Medal of the Faculty of Science of the P. J. Šafařík University in Košice
  
• Jaroslav Kurzweil, 2003: Doctor Honoris Causa from the University of West Bohemia in Plzeň
  
• Filip Roubíček, 2003: Bernard Bolzano Prize of the Charles University for oustanding Ph.D. thesis
  
• Karel Segeth, 2003: Commemorative Medal of the Faculty of Mathematics nad Physics of the Charles University
  
• Jaromír Šimša, 2003: Prize of the Rector of the Masaryk University in Brno
  
• Miroslav Engliš, 2002: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Petr Hájek, 2002: Otto Wichterle Award for young researches (Academy of Sciences of the Czech Republic)
  
• Jiří Sgall, 2002: Otto Wichterle Award for young researches
  
• Petr Hájek, 2002: Prize of the Learned Society of the Czech Republic
  
• Martin Markl, 2002: Medal of the Minister of Education, Youth and Sports
  
• Antonín Sochor, 2002: Josef Hlávka Prize
  
• Jaroslav Kurzweil, 2001: Medal of Josef Hlávka
  
• Pavel Pudlák, 2001: Bernard Bolzano Honorary Medal for Merit in the Mathematical Sciences (Academy of Sciences of the Czech Republic)
  

Best papers in journals published by the Institute

• Václav Mácha: A short note on $L^q$ theory for Stokes problem with a pressure-dependent viscosity.
  Czech. Math. J. 66 (141), no. 2 (2016), 317–329.
  
• Radim Hošek: Strongly regular family of boundary-fitted tetrahedral meshes of bounded $C^2$ domains. Appl. Math. 61, no. 3 (2016), 233–251.
  
• Pavel Krejčí, Harbir Lamba, Giselle A. Monteiro, Dmitrii Rachinskii: The Kurzweil integral in financial market modeling. Math. Bohem. 141, no. 2 (2016), 261–286.
  
• Marian Fabián: On coincidence of Pettis and McShane integrability. Czech. Math. J. 65 (140), no. 1 (2015), 83–106.
  
• Radim Hošek: Face-to-face partition of 3D space with identical well-centered tetrahedra. Appl. Math. 60, no. 6 (2015), 637–651.
  
• Šárka Nečasová, Jörg Wolf: On the linear problem arising from motion of a fluid around a moving rigid body. Math. Bohem. 140, no. 2 (2015), 241–259.
  
• J. Neustupa: A geometric improvement of the velocity pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. Math. Bohem. 139 (2014), no. 4, 685–698.
  
• A. Gogatishvili, F. Soudský: Normability of Lorentz spaces – an alternative approach. Czech. Math. J. 64 (2014), no. 3, 581–597.
  
• S. Mukhigulashvili: The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Czech. Math. J. 63 (2013), 235–263.
  
• Calin Ambrozie: On a variational approach to truncated problems of moments. Math. Bohem. 138 (2013), 105–112.
  
• G. A. Monteiro, M. Tvrdý: On Kurzweil-Stieltjes integral in a Banach space, Math. Bohem. 137 (2012), 365–381.
  
• E. Vitásek: Approximate solution of an inhomogeneous abstract differential equation. Appl. Math. 57 (2012), 31–41.
  
• A. Domohshnisky, R. Hakl, B. Půža: On the dimension of the solution set to the homogeneous linear differential equation of the first order. Czech. Math. J. 62 (2012), 1033–1053.
  
• Z. Opluštil, J. Šremr: Some oscillation criteria for second-order linear delay differential equation. Math. Bohem. 136 (2011), 195–204.
  
• E. Feireisl, S. Nečasová: The effective boundary conditions for vector fields on domains with rough boundaries: Applications to fluid mechanics. Appl. Math., Praha 56 (2011), 39–49.
  
• P. Řehák: Second order linear q-difference equations: nonoscillation and asymptotics. Czech. Math. J. 61 (2011), 1107-1134.
  
• Wiesław Kubiś, Matayahu Rubin: Extension and reconstruction theorems for the Urysohn universal metric space. Czechoslovak Math. J. 60 (135) (2010), No. 1, 1–29.
  
• Pavel Řehák: A role of the coefficient of the differential term in qualitative theory of half-linear equations. Math. Bohem. 135 (2010), No. 2, 151–162.
  
• Antonín Slavík, Štefan Schwabik: Henstock-Kurzweil and McShane product integration; descriptive definitions. Czechoslovak Math. J. 58 (133) (2008), No. 1, 241–269.
  
• Nataliya Dilna, András Rontó: General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations. Math. Bohem. 133 (2008), No. 4, 435–445.
  
• Ivan Hlaváček: Mixed finite element analysis of semi-coercive unilateral contact problems with given friction. Appl. Math. 52 (2007), No. 1, 25–58.
  
• Dagmar Medková: The Neumann problem for the Laplace equation on general domains. Czechoslovak Math. J. 57 (132) (2007), No. 4, 1107–1439.
  
• Jiří Šremr: Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators. Math. Bohem. 132 (2007), No. 3, 263–295.
  
• Wei Chen, Michal Křížek: What is the smallest possible constant in Céa's lemma?. Appl. Math. 51 (2006), No. 2, 129–144.
  
• Kamil John: Pták´s characterization of reflexivity in tenzor products. Czechoslovak Math. J. 56 (131), No. 3, 923–931.
  
• Irena Rachůnková, Milan Tvrdý: Periodic singular problem with quasilinear differential operator. Math. Bohem. 131 (2006), No. 3, 312–336.
  
• Martin Ondreját: Brownian representations of cylindrical local martingales, martingale problem and strong Markov property of weak solutions of SPDEs in Banach spaces. Czechoslovak Math. J. 55 (130) (2005), No. 4, 1003–1039.
  
• Roman Frič: Extension of measures: a categorical approach. Math. Bohem. 130 (2005), No. 4, 397–407.
  
• Larisa Beilina, Sergei Korotov, Michal Křížek: Nonobtuse tetrahedral partitions tyhat refine locally towards Fichera-like corners. Appl. Math. 50 (2005), No. 6, 569–581.
  
• Miroslav Šilhavý: On semiconvexity properties of rotationally invariant functions in dimensions. Czechoslovak Math. J. 54 (129) (2004), No. 3, 559–571.
  
• Jaroslav Kurzweil, Štefan Schwabik: McShane equi-integrability and Vitali´s convergence theorem. Math. Bohem. 129 (2004), No. 2, 141–157.