Spectral methods for time-dependent problems:
Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or sel...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
21 |
| Links: | https://doi.org/10.1017/CBO9780511618352 |
| Zusammenfassung: | Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners. |
| Umfang: | 1 Online-Ressource (ix, 273 Seiten) |
| ISBN: | 9780511618352 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9780511618352 | ||
| 003 | UkCbUP | ||
| 005 | 20151005020623.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090915s2007||||enk o ||1 0|eng|d | ||
| 020 | |a 9780511618352 | ||
| 100 | 1 | |a Hesthaven, Jan S. | |
| 245 | 1 | 0 | |a Spectral methods for time-dependent problems |c Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2007 | |
| 300 | |a 1 Online-Ressource (ix, 273 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge monographs on applied and computational mathematics |v 21 | |
| 520 | |a Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners. | ||
| 700 | 1 | |a Gottlieb, David | |
| 700 | 1 | |a Gottlieb, Sigal | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521792110 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9780511618352 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9780511618352 |
|---|---|
| _version_ | 1825574049403633665 |
| adam_text | |
| any_adam_object | |
| author | Hesthaven, Jan S. |
| author2 | Gottlieb, David Gottlieb, Sigal |
| author2_role | |
| author2_variant | d g dg s g sg |
| author_facet | Hesthaven, Jan S. Gottlieb, David Gottlieb, Sigal |
| author_role | |
| author_sort | Hesthaven, Jan S. |
| author_variant | j s h js jsh |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01994nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9780511618352</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020623.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">090915s2007||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511618352</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hesthaven, Jan S.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral methods for time-dependent problems</subfield><subfield code="c">Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (ix, 273 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge monographs on applied and computational mathematics</subfield><subfield code="v">21</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gottlieb, David</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gottlieb, Sigal</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521792110</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9780511618352</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9780511618352 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:03Z |
| institution | BVB |
| isbn | 9780511618352 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (ix, 273 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Hesthaven, Jan S. Spectral methods for time-dependent problems Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb Cambridge Cambridge University Press 2007 1 Online-Ressource (ix, 273 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 21 Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners. Gottlieb, David Gottlieb, Sigal Erscheint auch als Druck-Ausgabe 9780521792110 |
| spellingShingle | Hesthaven, Jan S. Spectral methods for time-dependent problems |
| title | Spectral methods for time-dependent problems |
| title_auth | Spectral methods for time-dependent problems |
| title_exact_search | Spectral methods for time-dependent problems |
| title_full | Spectral methods for time-dependent problems Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb |
| title_fullStr | Spectral methods for time-dependent problems Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb |
| title_full_unstemmed | Spectral methods for time-dependent problems Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb |
| title_short | Spectral methods for time-dependent problems |
| title_sort | spectral methods for time dependent problems |
| work_keys_str_mv | AT hesthavenjans spectralmethodsfortimedependentproblems AT gottliebdavid spectralmethodsfortimedependentproblems AT gottliebsigal spectralmethodsfortimedependentproblems |