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Englische Beschreibung | <p><strong>Description: </strong>Extending basic knowledge on odes from Numerik I, we first concentrate on one-step methods for stiff and differential-algebraic systems and then discuss Hamiltonian systems. In the second part of the lecture we consider the iterative solution of large linear systems.</p> <p><strong>Target Audience: </strong>Students of Bachelor and Master courses in Mathematics and of BMS</p> <p><strong>Prerequisites: </strong>Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)</p> <p><span style="font-size:12pt"><span style="font-family:"Times New Roman",serif"><a href="http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php" style="color:blue; text-decoration:underline">Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php</a></span></span></p> | <p><strong>Description: </strong>Extending basic knowledge on odes from Numerik I, we first concentrate on one-step methods for stiff and differential-algebraic systems and then discuss Hamiltonian systems. In the second part of the lecture we consider the iterative solution of large linear systems.</p> <p><strong>Target Audience: </strong>Students of Bachelor and Master courses in Mathematics and of BMS</p> <p><strong>Prerequisites: </strong>Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)</p> <p><span><span><a href="http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php">Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php</a></span></span></p> <p> </p> | <p><strong>Description: </strong>Extending basic knowledge on odes from Numerik I, we first concentrate on one-step methods for stiff and differential-algebraic systems and then discuss Hamiltonian systems. In the second part of the lecture we consider the iterative solution of large linear systems.</p> <p><strong>Target Audience: </strong>Students of Bachelor and Master courses in Mathematics and of BMS</p> <p><strong>Prerequisites: </strong>Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)</p> <p><span style="font-size:12pt"><span style="font-family:"Times New Roman",serif"><a href="http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php" style="color:blue; text-decoration:underline">Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php</a></span></span></p> <p> </p> |
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Englische Beschreibung | <div class="page" title="Page 12"> <div class="section"> <div class="layoutArea"> <div class="column"> <p><span style="font-family:arialmt; font-size:9.000000pt">The main focus of the module is on learning working methods. 1-3 problems of interdisciplinary relevance are selected and scientific theory, algorithmics, numerics and efficiency are rigorously practiced on these examples. In the computer exercises, students work in teams to develop, test and optimize implementations of the problems. Examples of suitable problems are e.g.: </span></p> <ul style="list-style-type:disc"> <li> <p><em>Wave phenomena and spectral analysis methods: </em><span style="font-family:arialmt; font-size:9.000000pt">Waves and oscillations in physics, the Fourier and Laplace transforms, discretization, DFT, FFT, implementation, stability analysis, duration analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Gravitation, electrostatics and computational procedures: </em><span style="font-family:arialmt; font-size:9.000000pt">gravitation problems and Coulomb‘s law, periodic systems and convergence, Ewald summation, error analysis, Particle Mesh Ewald, efficient implementation, hardware acceleration </span></p> </li> <li> <p><em>Thermal conductivity equation, Poisson’s equation and solution methods: </em><span style="font-family:arialmt; font-size:9.000000pt">thermal conductivity equation, Poisson’s equation, parabolic PDEs, PDEs, analytical solutions for special cases, domain decomposition / finite element approximation, solution using algebraic methods, implementation, convergence analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Data analysis and dimensional reduction: </em><span style="font-family:arialmt; font-size:9.000000pt">examples of correlated high-dimensional signals, Rayleigh quotient and optimality principle, eigenvalue problem, singular value decomposition and usual solution methods, Nystro¨m approximation and sparse sampling, efficient implementation</span></p> </li> </ul> </div> </div> </div> </div> | <div class="page" title="Page 12"> <div class="section"> <div class="layoutArea"> <div class="column"> <p><span>The main focus of the module is on learning working methods. 1-3 problems of interdisciplinary relevance are selected and scientific theory, algorithmics, numerics and efficiency are rigorously practiced on these examples. In the computer exercises, students work in teams to develop, test and optimize implementations of the problems. Examples of suitable problems are e.g.: </span></p> <ul> <li> <p><em>Wave phenomena and spectral analysis methods: </em><span>Waves and oscillations in physics, the Fourier and Laplace transforms, discretization, DFT, FFT, implementation, stability analysis, duration analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Gravitation, electrostatics and computational procedures: </em><span>gravitation problems and Coulomb‘s law, periodic systems and convergence, Ewald summation, error analysis, Particle Mesh Ewald, efficient implementation, hardware acceleration </span></p> </li> <li> <p><em>Thermal conductivity equation, Poisson’s equation and solution methods: </em><span>thermal conductivity equation, Poisson’s equation, parabolic PDEs, PDEs, analytical solutions for special cases, domain decomposition / finite element approximation, solution using algebraic methods, implementation, convergence analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Data analysis and dimensional reduction: </em><span>examples of correlated high-dimensional signals, Rayleigh quotient and optimality principle, eigenvalue problem, singular value decomposition and usual solution methods, Nystro¨̈m approximation and sparse sampling, efficient implementation</span></p> </li> </ul> </div> </div> </div> </div> | <div class="page" title="Page 12"> <div class="section"> <div class="layoutArea"> <div class="column"> <p><span style="font-family:arialmt; font-size:9.000000pt">The main focus of the module is on learning working methods. 1-3 problems of interdisciplinary relevance are selected and scientific theory, algorithmics, numerics and efficiency are rigorously practiced on these examples. In the computer exercises, students work in teams to develop, test and optimize implementations of the problems. Examples of suitable problems are e.g.: </span></p> <ul style="list-style-type:disc"> <li> <p><em>Wave phenomena and spectral analysis methods: </em><span style="font-family:arialmt; font-size:9.000000pt">Waves and oscillations in physics, the Fourier and Laplace transforms, discretization, DFT, FFT, implementation, stability analysis, duration analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Gravitation, electrostatics and computational procedures: </em><span style="font-family:arialmt; font-size:9.000000pt">gravitation problems and Coulomb‘s law, periodic systems and convergence, Ewald summation, error analysis, Particle Mesh Ewald, efficient implementation, hardware acceleration </span></p> </li> <li> <p><em>Thermal conductivity equation, Poisson’s equation and solution methods: </em><span style="font-family:arialmt; font-size:9.000000pt">thermal conductivity equation, Poisson’s equation, parabolic PDEs, PDEs, analytical solutions for special cases, domain decomposition / finite element approximation, solution using algebraic methods, implementation, convergence analysis, code optimization, hardware acceleration </span></p> </li> <li> <p><em>Data analysis and dimensional reduction: </em><span style="font-family:arialmt; font-size:9.000000pt">examples of correlated high-dimensional signals, Rayleigh quotient and optimality principle, eigenvalue problem, singular value decomposition and usual solution methods, Nyström approximation and sparse sampling, efficient implementation</span></p> </li> </ul> </div> </div> </div> </div> |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Hermann Georg Thiel |
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Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (29 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Hermann Georg Thiel
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-
|
Hermann Georg Thiel
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Feld | Evento | Lehrplanung | Operationen | |
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Submodul |
0082aA1.1.1 0082fA1.4.1 0084aA1.1.1 0084cA1.1.1 0084dA1.1.1 0426aA1.5.1 - 0426bA1.7.1 0513bA2.1.1 0521aA7.1.1 |
0082aA.1.1.1 0082fA.1.4.1 0084aA.1.1.1 0084cA.1.1.1 0084dA.1.1.1 0426aA.1.5.1 0426bA.1.6.1 - 0513bA.2.1.1 0521aA.7.1.1 |
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Dozent | Kein Eintrag | Ralf Kornhuber |
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Dozent | Kein Eintrag | Christian Haase |
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Kapazität | 20 | 15 |
Feld | Evento | Lehrplanung | Operationen | |
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Submodul |
0082aA1.3.1 0082fA1.5.1 0084aA2.1.1 0084cA1.4.1 0084dA1.4.1 0426aA1.5.1 - 0426bA1.7.1 0513bA2.1.1 0521aA7.3.1 |
0082aA.1.3.1 0082fA.1.5.1 0084aA.2.1.1 0084cA.1.4.1 0084dA.1.4.1 0426aA.1.5.1 0426bA.1.6.1 - 0513bA.2.1.1 0521aA.7.3.1 |
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Dozent | Kein Eintrag | Konrad Polthier |
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Dozent | Kein Eintrag | Felix Höfling |
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Englische Beschreibung | <div style="color:#000000; font-family:Helvetica; font-size:12px"> <p>The main theme of the seminar will be shellability of simplicial complexes.</p> <p>Shellability is a fundamental property of polytopes and of some simplicial complexes that allows to construct these combinatorial objects by tidily gluing together their maximal faces.<br /> Bruggesser and Mani (1970) proved that the boundary complex of every simplicial polytope is shellable. This fact was then used to prove the Euler-Poincare´ formula, which says that the alternating sum of the number f_i of i-dimensional faces of a convex polytope is zero. This is an extension of the well- known Euler formula for 3-polytopes: v-e+f=2, where v, e and f are the number of vertices, edges and maximal faces of the polytope.</p> <p>From the f-vector, whose components are the numbers f_i, one can compute another vector, called h-vector, whose components count the number of certain facets in a shellable simplicial complex. The components of the h-vector of the boundary of a simplicial polytope are symmetric (they satisfy the Dehn-Sommerville equations).</p> <p>Another crucial application of shellability is the Upper Bound Theorem, proved by McMullen in 1970, which states that the maximal number of k-faces for a d-polytope with n vertices is attained by the cyclic polytope.<br /> In the setting of simplicial complexes, shellability is a strong property in the hierarchy of pure complexes: vertex-decomposable => shellable => constructible => Cohen-Macaulay, and each of these classes of simplicial complexes is interesting by its own.</p> <p>Reisner (1976) gave a beautiful topological characterization of Cohen-Macaulay complexes in terms of the homology of the links of their faces. This was the starting point of the Stanley-Reisner theory that connects simplicial complexes to monomial ideals.<br /> Shellability, unlike Cohen-Macaulayness, is independent of the field. However, there are interesting examples of complexes that are Cohen-Macaulay over every field, but are not shellable.</p> <p>Moreover, even if shellability is a combinatorial property, it depends on the triangulation of the complex: there exist, for example, non-shellable triangulations of the 3-ball and of the 3-sphere.</p> </div> | <div> <p>The main theme of the seminar will be shellability of simplicial complexes.</p> <p>Shellability is a fundamental property of polytopes and of some simplicial complexes that allows to construct these combinatorial objects by tidily gluing together their maximal faces.<br> Bruggesser and Mani (1970) proved that the boundary complex of every simplicial polytope is shellable. This fact was then used to prove the Euler-Poincare´́ formula, which says that the alternating sum of the number f_i of i-dimensional faces of a convex polytope is zero. This is an extension of the well- known Euler formula for 3-polytopes: v-e+f=2, where v, e and f are the number of vertices, edges and maximal faces of the polytope.</p> <p>From the f-vector, whose components are the numbers f_i, one can compute another vector, called h-vector, whose components count the number of certain facets in a shellable simplicial complex. The components of the h-vector of the boundary of a simplicial polytope are symmetric (they satisfy the Dehn-Sommerville equations).</p> <p>Another crucial application of shellability is the Upper Bound Theorem, proved by McMullen in 1970, which states that the maximal number of k-faces for a d-polytope with n vertices is attained by the cyclic polytope.<br> In the setting of simplicial complexes, shellability is a strong property in the hierarchy of pure complexes: vertex-decomposable => shellable => constructible => Cohen-Macaulay, and each of these classes of simplicial complexes is interesting by its own.</p> <p>Reisner (1976) gave a beautiful topological characterization of Cohen-Macaulay complexes in terms of the homology of the links of their faces. This was the starting point of the Stanley-Reisner theory that connects simplicial complexes to monomial ideals.<br> Shellability, unlike Cohen-Macaulayness, is independent of the field. However, there are interesting examples of complexes that are Cohen-Macaulay over every field, but are not shellable.</p> <p>Moreover, even if shellability is a combinatorial property, it depends on the triangulation of the complex: there exist, for example, non-shellable triangulations of the 3-ball and of the 3-sphere.</p> </div> | <div style="color:#000000; font-family:Helvetica; font-size:12px"> <p>The main theme of the seminar will be shellability of simplicial complexes.</p> <p>Shellability is a fundamental property of polytopes and of some simplicial complexes that allows to construct these combinatorial objects by tidily gluing together their maximal faces.<br /> Bruggesser and Mani (1970) proved that the boundary complex of every simplicial polytope is shellable. This fact was then used to prove the Euler-Poincaré formula, which says that the alternating sum of the number f_i of i-dimensional faces of a convex polytope is zero. This is an extension of the well- known Euler formula for 3-polytopes: v-e+f=2, where v, e and f are the number of vertices, edges and maximal faces of the polytope.</p> <p>From the f-vector, whose components are the numbers f_i, one can compute another vector, called h-vector, whose components count the number of certain facets in a shellable simplicial complex. The components of the h-vector of the boundary of a simplicial polytope are symmetric (they satisfy the Dehn-Sommerville equations).</p> <p>Another crucial application of shellability is the Upper Bound Theorem, proved by McMullen in 1970, which states that the maximal number of k-faces for a d-polytope with n vertices is attained by the cyclic polytope.<br /> In the setting of simplicial complexes, shellability is a strong property in the hierarchy of pure complexes: vertex-decomposable => shellable => constructible => Cohen-Macaulay, and each of these classes of simplicial complexes is interesting by its own.</p> <p>Reisner (1976) gave a beautiful topological characterization of Cohen-Macaulay complexes in terms of the homology of the links of their faces. This was the starting point of the Stanley-Reisner theory that connects simplicial complexes to monomial ideals.<br /> Shellability, unlike Cohen-Macaulayness, is independent of the field. However, there are interesting examples of complexes that are Cohen-Macaulay over every field, but are not shellable.</p> <p>Moreover, even if shellability is a combinatorial property, it depends on the triangulation of the complex: there exist, for example, non-shellable triangulations of the 3-ball and of the 3-sphere.</p> </div> | |
Englische zusätzliche Informationen | <p>Das Seminar findet zeitlich in Absprache mit den Teilnehmern statt.</p> | <p>Das Seminar findet zeitlich in Absprache mit den Teilnehmern statt.</p> |
Kein Eintrag |
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Englische Beschreibung | See German description. | S<p>On Monday, 14.10.2019, at 9.15 a.m., we will have an welcome session (in German) for new students in the <em>main auditorium of the department of Computer Science</em>. After a common introduction, the participants will split into groups according to their course of study (BSc Computer Science in SR 055, MSc Computer Science in SR 006). We will provide an overview of the curriculum and give your relevant information about your study program. Furthermore, the Mentoring Program will be presented.</p> <p><strong>Target audience</strong>: first semester students at the department of Computer Science</p> | <p>On Monday, 14.10.2019, at 9.15 a.m., we will have an welcome session (in German) for new students in the <em>main auditorium of the department of Computer Science</em>. After a common introduction, the participants will split into groups according to their course of study (BSc Computer Science in SR 055, MSc Computer Science in SR 006). We will provide an overview of the curriculum and give your relevant information about your study program. Furthermore, the Mentoring Program will be presented.</p> <p><strong>Target audience</strong>: first semester students at the department of Computer Science</p> | |
Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (2 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
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Rupert Klein
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Ulrike Seyferth
Rupert Klein
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Ulrike Seyferth
Rupert Klein
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Dozent | Kein Eintrag | Holger Reich |
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Dozent | Kein Eintrag | Ralf Kornhuber |
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Dozent | Kein Eintrag | Heike Siebert |
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Englische zusätzliche Informationen | <p>The event takes place every Thursday, 14-16 in SR 001, Arnimallee 2.</p> | <p>The event takes place every Thursday, 14-16 in SR 001, Arnimallee 2.</p> |
Kein Eintrag | |
Dozent | Kein Eintrag | Matthias Beck Rainer Sinn |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Benedikt Weygandt |
Kein Eintrag |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Holger Reich |
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Dozent | Kein Eintrag | Brigitte Lutz-Westphal |
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Englische zusätzliche Informationen | <p>Die Veranstaltung findet jeweils Donnerstags, 16-18 Uhr im SR 001 in der Arnimallee 2 statt.</p> | <p>Die Veranstaltung findet jeweils Donnerstags, 16-18 Uhr im SR 001 in der Arnimallee 2 statt.</p> |
Kein Eintrag | |
Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (28 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Rainer Sinn
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-
Anna Maria Hartkopf
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Anna Maria Hartkopf
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Dozent | Kein Eintrag | Martina Lenze |
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Dozent | Kein Eintrag | Brigitte Lutz-Westphal |
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Dozent | Kein Eintrag | Katharina Skutella |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Elisabeth Brunner |
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Dozent | Kein Eintrag | Alexander Schulte |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Ehrhard Behrends Ralph-Hardo Schulz Volker Schulze Gabriella Artisi |
Ralph-Hardo Schulz |
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Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (27 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Ralph-Hardo Schulz
Ehrhard Behrends
N.N.
Volker Schulze
Gabriella Artisi
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Ralph-Hardo Schulz
Ehrhard Behrends
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Volker Schulze
Gabriella Artisi
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Ralph-Hardo Schulz
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Englische zusätzliche Informationen | <div> <p>Die Studierenden besuchen die Vorlesungen der Konferenz. Gespräche mit Referenten und Teilnehmern werden dringend empfohlen.</p> <p><strong>Vor der Konferenz</strong> melden sich die Studenten für den Kurs an. Nach Rücksprache mit dem Dozenten wählen sie eine algebraische geometrische Vorlesung und eine nicht-algebraische geometrische Vorlesung als Hauptthemen. Sie schreiben ein Paper zu ihren beiden Themen (Abgabe im Februar) und werden im Rahmen der Status-Workshops der TES im Dezember einen Vortrag zu einem Thema halten.</p> </div> | <div>
<p>Die Studierenden besuchen die Vorlesungen der Konferenz. Gespräche mit Referenten und Teilnehmern werden dringend empfohlen.</p>
<p><strong>Vor der Konferenz</strong> melden sich die Studenten für den Kurs an. Nach Rücksprache mit dem Dozenten wählen sie eine algebraische geometrische Vorlesung und eine nicht-algebraische geometrische Vorlesung als Hauptthemen. Sie schreiben ein Paper zu ihren beiden Themen (Abgabe im Februar) und werden im Rahmen der Status-Workshops der TES im Dezember einen Vortrag zu einem Thema halten.</p>
</div> |
Kein Eintrag |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Karin Bergmann Sabine Giese Ralph-Hardo Schulz Ute Minne |
Ralph-Hardo Schulz |
Feld | Evento |
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Englische zusätzliche Informationen | <p>Die Veranstaltung findet jeweils Montags, 16-18 Uhr im SR 001 in der Arnimallee 2 statt.</p> | <p>Die Veranstaltung findet jeweils Montags, 16-18 Uhr im SR 001 in der Arnimallee 2 statt.</p> |
Kein Eintrag |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Rupert Klein Frank Noe Nikki Vercauteren Roland Netz |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Rupert Klein Frank Noe Nikki Vercauteren Roland Netz |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Christof Schütte |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Rupert Klein Frank Noe Nikki Vercauteren Roland Netz |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Rupert Klein Frank Noe Nikki Vercauteren Roland Netz |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Ralf Borndörfer Niels Lindner |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Kein Eintrag | Rupert Klein Frank Noe Nikki Vercauteren Roland Netz |
Feld | Evento | Textunterschiede | Lehrplanung | Operationen |
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Beschreibung | <p>Inhalt:</p> <p>Methoden des Machine Learning und der Diskreten Optimierung lassen sich auf vielfältige Art und Weise kombinieren. In diesem Seminar konzentrieren wir uns auf den Einsatz von Verfahren des Machine Learning zur Verbesserung von bereits bestehenden Optimierungsalgorithmen, insbesondere von Lösern für Gemischt-Ganzzahlige (Lineare) Programme.</p> <p>Bei welchen Subroutinen bekannter Optimierungsalgorithmen können Machine-Learning-Verfahren zum Einsatz kommen? Welche Methoden des Machine Learning sind besonders geeignet, um die Entscheidungsfindung in Optimierungsalgorithmen zu unterstützen? Welche Problemklassen profitieren von einem kombinierten Lösungsansatz? Diese Fragen sind in der Literatur der letzten fünf Jahre ausgiebig diskutiert und zum Teil beantwortet worden. In diesem Seminar werden wir einige Highlights aktueller Forschung näher betrachten und Einblicke in aktuelle Entwicklungen erhalten.</p> | <div class="field field-label-above field-name-field-lecture-content field-type-text-long"> <div class="field-label"> <p>Inhalt:</p> <p>Methoden des Machine Learning und der Diskreten Optimierung lassen sich auf vielfältige Art und Weise kombinieren. In diesem Seminar konzentrieren wir uns auf den Einsatz von Verfahren des Machine Learning zur Verbesserung von bereits bestehenden Optimierungsalgorithmen, insbesondere von Lösern für Gemischt-Ganzzahlige (Lineare) Programme.</p> <p>Bei welchen Subroutinen bekannter Optimierungsalgorithmen können Machine-Learning-Verfahren zum Einsatz kommen? Welche Methoden des Machine Learning sind besonders geeignet, um die Entscheidungsfindung in Optimierungsalgorithmen zu unterstützen? Welche Problemklassen profitieren von einem kombinierten Lösungsansatz? Diese Fragen sind in der Literatur der letzten fünf Jahre ausgiebig diskutiert und zum Teil beantwortet worden. In diesem Seminar werden wir einige Highlights aktueller Forschung näher betrachten und Einblicke in aktuelle Entwicklungen erhalten.</p> </div> </div> | <div class="field field-label-above field-name-field-lecture-content field-type-text-long"> <div class="field-label"> <p>Inhalt:</p> <p>Methoden des Machine Learning und der Diskreten Optimierung lassen sich auf vielfältige Art und Weise kombinieren. In diesem Seminar konzentrieren wir uns auf den Einsatz von Verfahren des Machine Learning zur Verbesserung von bereits bestehenden Optimierungsalgorithmen, insbesondere von Lösern für Gemischt-Ganzzahlige (Lineare) Programme.</p> <p>Bei welchen Subroutinen bekannter Optimierungsalgorithmen können Machine-Learning-Verfahren zum Einsatz kommen? Welche Methoden des Machine Learning sind besonders geeignet, um die Entscheidungsfindung in Optimierungsalgorithmen zu unterstützen? Welche Problemklassen profitieren von einem kombinierten Lösungsansatz? Diese Fragen sind in der Literatur der letzten fünf Jahre ausgiebig diskutiert und zum Teil beantwortet worden. In diesem Seminar werden wir einige Highlights aktueller Forschung näher betrachten und Einblicke in aktuelle Entwicklungen erhalten.</p> </div> </div> | |
Dozent | Kein Eintrag | Timo Berthold |
Feld | Evento | Lehrplanung | Operationen | |
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Dozent | Niels Lindner |
Pedro Maristany de las Casas Niels Lindner |
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Submodul |
0280bA7.5.1 0280cA4.7.1 0280cA4.8.1 0280cA4.9.1 |
0280bA.7.5.1 - - - |
Feld | Evento | Lehrplanung | Operationen | |
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Submodul |
0082aA1.1.2 0082fA1.4.2 0084aA1.1.2 0084cA1.1.2 0084dA1.1.2 0426aA1.5.2 - 0426bA1.7.2 0513bA2.1.2 0521aA7.1.2 |
0082aA.1.1.2 0082fA.1.4.2 0084aA.1.1.2 0084cA.1.1.2 0084dA.1.1.2 0426aA.1.5.2 0426bA.1.6.2 - 0513bA.2.1.2 0521aA.7.1.2 |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Kein Eintrag | Ralf Kornhuber |
Feld | Evento |
Textunterschiede
|
Lehrplanung | Operationen |
---|---|---|---|---|
Englische Beschreibung | <p ">This course is associated with the Thematic Einstein Semester (TES) <a href="http://ehrhart.math.fu-berlin.de/agplus/index.php">Varieties, Polyhedra, Computation</a> organised within the framework of the Berlin Mathematics Research Center <a href="http://www.mathplus.de/">MATH+</a> and supported by the <a href="https://www.einsteinfoundation.de/en/">Einstein Foundation Berlin</a>.</p> <p ">Solving systems of polynomial equations over the real or complex numbers is a basic, ubiquitous, and highly relevant mathematical task. Over the past two decades, there has been dramatic progress in our ability to practically solve polynomial systems and explore their solution sets.</p> <p ">This course will center around a specific approach to solving sets of polynomial equations: numerical homotopy continuation. Numerical methods are particularly appealing for “large” problems due to their speed in computations. However, numerical computations only yields approximate solutions, the output is not exact. This is why, traditionally, homotopy continuation has been considered as a branch of applied mathematics. For instance, homotopy continuation is a popular tool in computing the solutions of kinematic problems in engineering.</p> <p ">In this course, Students will learn to solve their own systems with the Julia package <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>. Next to solving problems from application, they will also learn how output from numerical homotopy continuation can be used in rigorous mathematical proofs. For instance, an instance of the famous <a href="https://www.juliahomotopycontinuation.org/examples/do-it-yourself/">3264 conics tangent to five given conics</a> was computed using <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>, and all its tangential conics where proven to be real.</p> <p><span ">Students work on projects involving the solution of polynomial systems. They present their programs and solutions in conjunction with the Milestones Conference of the TES in February.</span></p> | <p ">This course is associated with the Thematic Einstein Semester (TES) <a href="http://ehrhart.math.fu-berlin.de/agplus/index.php">Varieties, Polyhedra, Computation</a> organised within the framework of the Berlin Mathematics Research Center <a href="http://www.mathplus.de/">MATH+</a> and supported by the <a href="https://www.einsteinfoundation.de/en/">Einstein Foundation Berlin</a>.</p> <p ">Solving systems of polynomial equations over the real or complex numbers is a basic, ubiquitous, and highly relevant mathematical task. Over the past two decades, there has been dramatic progress in our ability to practically solve polynomial systems and explore their solution sets.</p> <p ">This course will center around a specific approach to solving sets of polynomial equations: numerical homotopy continuation. Numerical methods are particularly appealing for “large” problems due to their speed in computations. However, numerical computations only yields approximate solutions, the output is not exact. This is why, traditionally, homotopy continuation has been considered as a branch of applied mathematics. For instance, homotopy continuation is a popular tool in computing the solutions of kinematic problems in engineering.</p> <p ">In this course, Students will learn to solve their own systems with the Julia package <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>. Next to solving problems from application, they will also learn how output from numerical homotopy continuation can be used in rigorous mathematical proofs. For instance, an instance of the famous <a href="https://www.juliahomotopycontinuation.org/examples/do-it-yourself/">3264 conics tangent to five given conics</a> was computed using <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>, and all its tangential conics where proven to be real.</p> <p><span ">Students work on projects involving the solution of polynomial systems. They present their programs and solutions in conjunction with the Milestones Conference of the TES in February.</span></p> | <p style="text-align:start">This course is associated with the Thematic Einstein Semester (TES) <a href="http://ehrhart.math.fu-berlin.de/agplus/index.php">Varieties, Polyhedra, Computation</a> organised within the framework of the Berlin Mathematics Research Center <a href="http://www.mathplus.de/">MATH+</a> and supported by the <a href="https://www.einsteinfoundation.de/en/">Einstein Foundation Berlin</a>.</p> <p style="text-align:start">Solving systems of polynomial equations over the real or complex numbers is a basic, ubiquitous, and highly relevant mathematical task. Over the past two decades, there has been dramatic progress in our ability to practically solve polynomial systems and explore their solution sets.</p> <p style="text-align:start">This course will center around a specific approach to solving sets of polynomial equations: numerical homotopy continuation. Numerical methods are particularly appealing for “large” problems due to their speed in computations. However, numerical computations only yields approximate solutions, the output is not exact. This is why, traditionally, homotopy continuation has been considered as a branch of applied mathematics. For instance, homotopy continuation is a popular tool in computing the solutions of kinematic problems in engineering.</p> <p style="text-align:start">In this course, Students will learn to solve their own systems with the Julia package <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>. Next to solving problems from application, they will also learn how output from numerical homotopy continuation can be used in rigorous mathematical proofs. For instance, an instance of the famous <a href="https://www.juliahomotopycontinuation.org/examples/do-it-yourself/">3264 conics tangent to five given conics</a> was computed using <a href="https://www.juliahomotopycontinuation.org/">HomotopyContinuation.jl</a>, and all its tangential conics where proven to be real.</p> <p><span style="color:#000000; font-family:Helvetica; font-size:12px">Students work on projects involving the solution of polynomial systems. They present their programs and solutions in conjunction with the Milestones Conference of the TES in February.</span></p> |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Robert Malte Polzin Luzie Helfmann Péter Koltai |
N. N. |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Submodul |
0082aA1.3.2 0082fA1.5.2 0084aA2.1.2 0084cA1.4.2 0084dA1.4.2 0426aA1.5.2 - 0426bA1.7.2 0513bA2.1.2 0521aA7.3.2 |
0082aA.1.3.2 0082fA.1.5.2 0084aA.2.1.2 0084cA.1.4.2 0084dA.1.4.2 0426aA.1.5.2 0426bA.1.6.2 - 0513bA.2.1.2 0521aA.7.3.2 |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Titel | Practice seminar for Inside Finite Elements | Inside Finite Elements |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Christine Scharlach Christine Gärtner Ulrike Bücking |
Christine Scharlach |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Kein Eintrag | Christian Haase |
Feld | Evento |
Textunterschiede
|
Lehrplanung | Operationen |
---|---|---|---|---|
Englische Beschreibung | <p><strong>Inhalt:</strong> Das Seminar behandelt fortgeschrittene Themen der Stochastik, insbesondere stochastische Analysis.</p> | <p><strong>IContenhalt:</strong> DaThe s Seminar bcovehrs andvanceltd ftortgeschrpittenecs Themenof der Sstochastikcs, insbesonde particulare stochastische Aanalysis.</p> | <p><strong>Content:</strong> The seminar covers advanced topics of stochastics, in particular stochastic analysis.</p> | |
Englische zusätzliche Informationen | <p><strong>Voraussetzungen:</strong> Stochastik I und II.<br /> <strong>Zielgruppe:</strong> BMS Studierende, Masterstudierende.</p> | <p><strong>VoPreraequsiseitzungens:</strong> Stochastikcs I uand II.<br> <strong>ZielTarget Grouppe:</strong> BMS Studierende, Masterstudierende.</p> | <p><strong>Prerequisites:</strong> Stochastics I and II.<br /> <strong>Target Group:</strong> BMS Studierende, Masterstudierende.</p> |
Feld | Evento |
Textunterschiede
|
Lehrplanung | Operationen |
---|---|---|---|---|
Englische Beschreibung | <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">Primzahlen sind die Bausteine für alle Zahlen und üben seit jeher eine große Faszination aus, die weit über die Mathematik hinausgeht.</span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">Nicht nur tiefliegende Sätze und Vermutungen der reinen Mathematik beschäftigen sich mit Primzahlen, sondern auch handfeste Probleme des Alltags, die mit der Verschlüsselung von Daten zu tun haben, benötigen sie, in dem genannten Fall sehr große Primzahlen.</span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">In dem Proseminar werden ausgewählte Kapitel aus dem Buch:</span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">Die Welt der Primzahlen: Geheimnisse und Rekorde von Paulo Ribenboim, erschienen bei Springer Berlin Heidelberg, Berlin, Heidelberg, 2006</span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">besprochen. (Das Buch ist über die Freie Universität online verfügbar.)</span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">Das Seminarprogramm finden Sie auf der <a href="userpage.fu-berlin.de/~aschmitt/PSAZTWS2019.html">Website des Seminars.</a></span></span></p> <p><span style="font-size:11pt"><span style="font-family:"Calibri",sans-serif">TeilnehmerInnen können auch andere Themen aus dem Buch vorschlagen.</span></span></p> <p><span style="font-size:11.0pt"><span style="font-family:"Calibri",sans-serif">Studierende, die an einer anschliessenden Bachelorarbeit interessiert sind, sollten sich vor der Themenvergabe bei mir melden.</span></span></p> | <p><span><span>Primzahlen sind die Bausteine für alle Zahlen und üben seit jeher eine große Faszination aus, die weit über die Mathematik hinausgeht.</span></span></p>
<p><span><span>Nicht nur tiefliegende Sätze und Vermutungen der reinen Mathematik beschäftigen sich mit Primzahlen, sondern auch handfeste Probleme des Alltags, die mit der Verschlüsselung von Daten zu tun haben, benötigen sie, in dem genannten Fall sehr große Primzahlen.</span></span></p>
<p><span><span>In dem Proseminar werden ausgewählte Kapitel aus dem Buch:</span></span></p>
<p><span><span>Die Welt der Primzahlen: Geheimnisse und Rekorde von Paulo Ribenboim, erschienen bei Springer Berlin Heidelberg, Berlin, Heidelberg, 2006</span></span></p>
<p><span><span>besprochen. (Das Buch ist über die Freie Universität online verfügbar.)</span></span></p>
<p><span><span>Das Seminarprogramm finden Sie auf der <a href="userpage.fu-berlin.de/~aschmitt/PSAZTWS2019.html">Website des Seminars.</a></span></span></p>
<p><span><span>TeilnehmerInnen können auch andere Themen aus dem Buch vorschlagen.</span></span></p>
<p><span><span>Studierende, die an einer anschliessenden Bachelorarbeit interessiert sind, sollten sich vor der Themenvergabe bei mir melden.</span></span></p> |
Kein Eintrag |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Titel | Zentralübung zu Analysis III | Zentralübung zu Analysis II | ||
Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (15 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Peter Koltai
-
|
-
Péter Koltai
|
Peter Koltai
|
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Kapazität | 0 | 56 |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Kein Eintrag | Nathalie Lieckfeld Isa Adriane Günther |
||
Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (1 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Nathalie Lieckfeld
Isa Adriane Günther
|
-
-
|
Nathalie Lieckfeld
Isa Adriane Günther
|
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
SAP Titel | Forschungsseminar: Datengetriebene Model | Kein Eintrag | ||
Dozent | Kein Eintrag | Peter Koltai |
Feld | Evento | Lehrplanung | Operationen | |
---|---|---|---|---|
Dozent | Kein Eintrag | Ulrike Seyferth |
||
Evento: eVV-Textfeld "Leitung (Publikation)" | Evento: Dozierende (5 Lektionen) | Lehrplanung | ||
Dozierende in eVV |
Ulrike Seyferth
|
-
|
Ulrike Seyferth
|
Status | LV | Kursname |
---|---|---|
a.Absage verarbeitet | 19216401 | Inside Finite Elements |
a.Absage verarbeitet | 19216402 | Practice seminar for Inside Finite Elements |
a.Erneut änderbar | 19238911 | Optimization in Public Transportation |
LV | Kursname |
---|
LV | Kursname |
---|---|
19241211 | Seminar zu Varieties, Polyhedra, Computation - Opening Conference |
19242906 | Seminaristischer Unterricht zu Numerische algebraische Geometrie mit Julia |
Status | LV | Kursname |
---|---|---|
a.Erneut änderbar | 19238911 | Optimization in Public Transportation |