Topological Optimization and Optimal Transport : : In the Applied Sciences / / ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion.
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social science...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
Year of Publication: | 2017 |
Language: | English |
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Topological Optimization and Optimal Transport : In the Applied Sciences / ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (XII, 420 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Radon Series on Computational and Applied Mathematics , 1865-3707 ; 17 Frontmatter -- Contents -- Part I -- 1. Geometric issues in PDE problems related to the infinity Laplace operator -- 2. Solution of free boundary problems in the presence of geometric uncertainties -- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies -- 4. High-order topological expansions for Helmholtz problems in 2D -- 5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- 6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- 7. Discrete varifolds and surface approximation -- Part II -- Preface -- 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem -- 9. Optimal transportation theory with repulsive costs -- 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- 14. Convergence of a fully discrete variational scheme for a thin-film equation -- 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered. ContentsPart I Geometric issues in PDE problems related to the infinity Laplace operator Solution of free boundary problems in the presence of geometric uncertainties Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies High-order topological expansions for Helmholtz problems in 2D On a new phase field model for the approximation of interfacial energies of multiphase systems Optimization of eigenvalues and eigenmodes by using the adjoint method Discrete varifolds and surface approximation Part II Weak Monge–Ampere solutions of the semi-discrete optimal transportation problem Optimal transportation theory with repulsive costs Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations On the Lagrangian branched transport model and the equivalence with its Eulerian formulation On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows Pressureless Euler equations with maximal density constraint: a time-splitting scheme Convergence of a fully discrete variational scheme for a thin-film equatio Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Transportation problems (Programming). Bildverarbeitung. Control theory. Optimierung. Partielle Differentialgleichung. MATHEMATICS / Optimization. bisacsh Shape representations. optimal transport. relaxation theory. shape optimization. Barbarosie, Cristian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Benamou, Jean-David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bergounioux, Maïtine, editor. edt http://id.loc.gov/vocabulary/relators/edt Bretin, Elie, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Buet, Blanche, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Carlier, Guillaume, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Carlier, Guillaume, editor. edt http://id.loc.gov/vocabulary/relators/edt Champion, Thierry, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Champion, Thierry, editor. edt http://id.loc.gov/vocabulary/relators/edt Crasta, Graziano, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fragalà, Ilaria, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Froese, Brittany D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gerolin, Augusto, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Harbrecht, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hatchi, Roméo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hintermüller, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kovtunenko, Victor A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laborde, Maxime, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Leonardi, Gian Paolo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Marino, Simone Di, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Masnou, Simon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Matthes, Daniel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Maury, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nenna, Luca, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Osberger, Horst, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Oudet, Édouard, editor. edt http://id.loc.gov/vocabulary/relators/edt Pegon, Paul, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Peters, M. D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Preux, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Reda, F. Al, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rumpf, Martin , editor. edt http://id.loc.gov/vocabulary/relators/edt Santambrogio, Filippo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Santambrogio, Filippo, editor. edt http://id.loc.gov/vocabulary/relators/edt Toader, Anca-Maria, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wegner, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1 9783110762495 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 9783110548204 ZDB-23-DMA Title is part of eBook package: De Gruyter Radon Series on Applied Mathematics eBook-Package 9783110647174 EPUB 9783110430509 print 9783110439267 https://doi.org/10.1515/9783110430417 https://www.degruyter.com/isbn/9783110430417 Cover https://www.degruyter.com/document/cover/isbn/9783110430417/original |
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Barbarosie, Cristian, Barbarosie, Cristian, Benamou, Jean-David, Benamou, Jean-David, Bergounioux, Maïtine, Bergounioux, Maïtine, Bretin, Elie, Bretin, Elie, Buet, Blanche, Buet, Blanche, Carlier, Guillaume, Carlier, Guillaume, Carlier, Guillaume, Carlier, Guillaume, Champion, Thierry, Champion, Thierry, Champion, Thierry, Champion, Thierry, Crasta, Graziano, Crasta, Graziano, Fragalà, Ilaria, Fragalà, Ilaria, Froese, Brittany D., Froese, Brittany D., Gerolin, Augusto, Gerolin, Augusto, Harbrecht, H., Harbrecht, H., Hatchi, Roméo, Hatchi, Roméo, Hintermüller, M., Hintermüller, M., Kovtunenko, Victor A., Kovtunenko, Victor A., Laborde, Maxime, Laborde, Maxime, Leonardi, Gian Paolo, Leonardi, Gian Paolo, Marino, Simone Di, Marino, Simone Di, Masnou, Simon, Masnou, Simon, Matthes, Daniel, Matthes, Daniel, Maury, B., Maury, B., Nenna, Luca, Nenna, Luca, Osberger, Horst, Osberger, Horst, Oudet, Édouard, Oudet, Édouard, Pegon, Paul, Pegon, Paul, Peters, M. D., Peters, M. D., Preux, A., Preux, A., Reda, F. Al, Reda, F. Al, Rumpf, Martin , Rumpf, Martin , Santambrogio, Filippo, Santambrogio, Filippo, Santambrogio, Filippo, Santambrogio, Filippo, Toader, Anca-Maria, Toader, Anca-Maria, Wegner, D., Wegner, D., |
author_facet |
Barbarosie, Cristian, Barbarosie, Cristian, Benamou, Jean-David, Benamou, Jean-David, Bergounioux, Maïtine, Bergounioux, Maïtine, Bretin, Elie, Bretin, Elie, Buet, Blanche, Buet, Blanche, Carlier, Guillaume, Carlier, Guillaume, Carlier, Guillaume, Carlier, Guillaume, Champion, Thierry, Champion, Thierry, Champion, Thierry, Champion, Thierry, Crasta, Graziano, Crasta, Graziano, Fragalà, Ilaria, Fragalà, Ilaria, Froese, Brittany D., Froese, Brittany D., Gerolin, Augusto, Gerolin, Augusto, Harbrecht, H., Harbrecht, H., Hatchi, Roméo, Hatchi, Roméo, Hintermüller, M., Hintermüller, M., Kovtunenko, Victor A., Kovtunenko, Victor A., Laborde, Maxime, Laborde, Maxime, Leonardi, Gian Paolo, Leonardi, Gian Paolo, Marino, Simone Di, Marino, Simone Di, Masnou, Simon, Masnou, Simon, Matthes, Daniel, Matthes, Daniel, Maury, B., Maury, B., Nenna, Luca, Nenna, Luca, Osberger, Horst, Osberger, Horst, Oudet, Édouard, Oudet, Édouard, Pegon, Paul, Pegon, Paul, Peters, M. D., Peters, M. D., Preux, A., Preux, A., Reda, F. Al, Reda, F. Al, Rumpf, Martin , Rumpf, Martin , Santambrogio, Filippo, Santambrogio, Filippo, Santambrogio, Filippo, Santambrogio, Filippo, Toader, Anca-Maria, Toader, Anca-Maria, Wegner, D., Wegner, D., |
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author_sort |
Barbarosie, Cristian, |
title |
Topological Optimization and Optimal Transport : In the Applied Sciences / |
spellingShingle |
Topological Optimization and Optimal Transport : In the Applied Sciences / Radon Series on Computational and Applied Mathematics , Frontmatter -- Contents -- Part I -- 1. Geometric issues in PDE problems related to the infinity Laplace operator -- 2. Solution of free boundary problems in the presence of geometric uncertainties -- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies -- 4. High-order topological expansions for Helmholtz problems in 2D -- 5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- 6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- 7. Discrete varifolds and surface approximation -- Part II -- Preface -- 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem -- 9. Optimal transportation theory with repulsive costs -- 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- 14. Convergence of a fully discrete variational scheme for a thin-film equation -- 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance -- Index |
title_sub |
In the Applied Sciences / |
title_full |
Topological Optimization and Optimal Transport : In the Applied Sciences / ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion. |
title_fullStr |
Topological Optimization and Optimal Transport : In the Applied Sciences / ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion. |
title_full_unstemmed |
Topological Optimization and Optimal Transport : In the Applied Sciences / ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion. |
title_auth |
Topological Optimization and Optimal Transport : In the Applied Sciences / |
title_alt |
Frontmatter -- Contents -- Part I -- 1. Geometric issues in PDE problems related to the infinity Laplace operator -- 2. Solution of free boundary problems in the presence of geometric uncertainties -- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies -- 4. High-order topological expansions for Helmholtz problems in 2D -- 5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- 6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- 7. Discrete varifolds and surface approximation -- Part II -- Preface -- 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem -- 9. Optimal transportation theory with repulsive costs -- 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- 14. Convergence of a fully discrete variational scheme for a thin-film equation -- 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance -- Index |
title_new |
Topological Optimization and Optimal Transport : |
title_sort |
topological optimization and optimal transport : in the applied sciences / |
series |
Radon Series on Computational and Applied Mathematics , |
series2 |
Radon Series on Computational and Applied Mathematics , |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (XII, 420 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Part I -- 1. Geometric issues in PDE problems related to the infinity Laplace operator -- 2. Solution of free boundary problems in the presence of geometric uncertainties -- 3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies -- 4. High-order topological expansions for Helmholtz problems in 2D -- 5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- 6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- 7. Discrete varifolds and surface approximation -- Part II -- Preface -- 8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem -- 9. Optimal transportation theory with repulsive costs -- 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- 14. Convergence of a fully discrete variational scheme for a thin-film equation -- 15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance -- Index |
isbn |
9783110430417 9783110762495 9783110719543 9783110540550 9783110625264 9783110548204 9783110647174 9783110430509 9783110439267 |
issn |
1865-3707 ; |
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Q - Science |
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QA - Mathematics |
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QA402 |
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QA 3402.6 |
url |
https://doi.org/10.1515/9783110430417 https://www.degruyter.com/isbn/9783110430417 https://www.degruyter.com/document/cover/isbn/9783110430417/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
519 - Probabilities & applied mathematics |
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519.6 |
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doi_str_mv |
10.1515/9783110430417 |
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Topological Optimization and Optimal Transport : In the Applied Sciences / |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>10235nam a22013455i 4500</leader><controlfield tag="001">9783110430417</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228123812.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20172017gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110430417</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110430417</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)453319</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1002222178</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA402.6</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT042000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">519.6</subfield><subfield code="2">23</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Topological Optimization and Optimal Transport :</subfield><subfield code="b">In the Applied Sciences /</subfield><subfield code="c">ed. by Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2017]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XII, 420 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Radon Series on Computational and Applied Mathematics ,</subfield><subfield code="x">1865-3707 ;</subfield><subfield code="v">17</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Part I -- </subfield><subfield code="t">1. Geometric issues in PDE problems related to the infinity Laplace operator -- </subfield><subfield code="t">2. Solution of free boundary problems in the presence of geometric uncertainties -- </subfield><subfield code="t">3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies -- </subfield><subfield code="t">4. High-order topological expansions for Helmholtz problems in 2D -- </subfield><subfield code="t">5. On a new phase field model for the approximation of interfacial energies of multiphase systems -- </subfield><subfield code="t">6. Optimization of eigenvalues and eigenmodes by using the adjoint method -- </subfield><subfield code="t">7. Discrete varifolds and surface approximation -- </subfield><subfield code="t">Part II -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem -- </subfield><subfield code="t">9. Optimal transportation theory with repulsive costs -- </subfield><subfield code="t">10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations -- </subfield><subfield code="t">11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation -- </subfield><subfield code="t">12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows -- </subfield><subfield code="t">13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme -- </subfield><subfield code="t">14. Convergence of a fully discrete variational scheme for a thin-film equation -- </subfield><subfield code="t">15. Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered. ContentsPart I Geometric issues in PDE problems related to the infinity Laplace operator Solution of free boundary problems in the presence of geometric uncertainties Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies High-order topological expansions for Helmholtz problems in 2D On a new phase field model for the approximation of interfacial energies of multiphase systems Optimization of eigenvalues and eigenmodes by using the adjoint method Discrete varifolds and surface approximation Part II Weak Monge–Ampere solutions of the semi-discrete optimal transportation problem Optimal transportation theory with repulsive costs Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations On the Lagrangian branched transport model and the equivalence with its Eulerian formulation On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows Pressureless Euler equations with maximal density constraint: a time-splitting scheme Convergence of a fully discrete variational scheme for a thin-film equatio Interpretation of finite volume discretization schemes for the Fokker–Planck equation as gradient flows for the discrete Wasserstein distance</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Transportation problems (Programming).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bildverarbeitung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Optimierung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partielle Differentialgleichung.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Optimization.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Shape representations.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">optimal transport.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">relaxation theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">shape optimization.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barbarosie, Cristian, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Benamou, Jean-David, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bergounioux, Maïtine, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bretin, Elie, </subfield><subfield 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