Variational methods in mathematics, science and engineering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Czech |
| Veröffentlicht: |
Dordrecht ; Boston
Reidel
1980
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 571 Seiten |
| ISBN: | 9027710600 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV006096587 | ||
| 003 | DE-604 | ||
| 005 | 20241022 | ||
| 007 | t | ||
| 008 | 921030s1980 ne |||| 00||| eng d | ||
| 020 | |a 9027710600 |c hbk. |9 90-277-1060-0 | ||
| 035 | |a (OCoLC)7977184 | ||
| 035 | |a (DE-599)BVBBV006096587 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 1 | |a eng |h cze | |
| 044 | |a ne |c XA-NL | ||
| 049 | |a DE-703 |a DE-824 |a DE-29T |a DE-521 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA315.R4413 1980 | |
| 082 | 0 | |a 515/.64 |2 19 | |
| 082 | 0 | |a 515/.64 19 | |
| 084 | |a SK 660 |0 (DE-625)143251: |2 rvk | ||
| 100 | 1 | |a Rektorys, Karel |d 1923- |e Verfasser |0 (DE-588)172329183 |4 aut | |
| 240 | 1 | 0 | |a Variacni metody v inzenyrskych problemech a v problemech matematicke fyziky |
| 245 | 1 | 0 | |a Variational methods in mathematics, science and engineering |c Karel Rektorys |
| 250 | |a Second edition | ||
| 264 | 1 | |a Dordrecht ; Boston |b Reidel |c 1980 | |
| 300 | |a 571 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Calcul des variations |2 ram | |
| 650 | 7 | |a EDP |2 inriac | |
| 650 | 7 | |a Hilbert, Espaces de |2 ram | |
| 650 | 7 | |a calcul variation |2 inriac | |
| 650 | 7 | |a espace Hilbert |2 inriac | |
| 650 | 7 | |a méthode variationnelle |2 inriac | |
| 650 | 7 | |a problème aux limites |2 inriac | |
| 650 | 7 | |a problème valeur propre |2 inriac | |
| 650 | 7 | |a Équations différentielles - Solutions numériques |2 ram | |
| 650 | 7 | |a équation différentielle |2 inriac | |
| 650 | 4 | |a Calculus of variations | |
| 650 | 4 | |a Hilbert space | |
| 650 | 4 | |a Differential equations -- Numerical solutions | |
| 650 | 4 | |a Boundary value problems -- Numerical solutions | |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anwendung |0 (DE-588)4196864-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 1 | 1 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 1 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 2 | 1 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 689 | 3 | 0 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 3 | 1 | |a Anwendung |0 (DE-588)4196864-5 |D s |
| 689 | 3 | |8 2\p |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003850419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 940 | 1 | |q TUB-nveb | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003850419 | |
Datensatz im Suchindex
| _version_ | 1813622967344562176 |
|---|---|
| adam_text |
CONTENTS
Preface 11
Notation Frequently Used 15
Chapter 1. Introduction 17
Part I. HILBERT SPACE
Chapter 2. Inner Product of Functions. Norm, Metric 21
Chapter 3. The Space L2 32
Chapter 4. Convergence in the Space L2(G) (Convergence in the Mean). Complete Space. Separable
Space 38
a) Convergence in the space L2(G) 38
b) Completeness 41
c) Density. Separability 44
Chapter 5. Orthogonal Systems in L2(G) 47
a) Linear dependence and independence in L2(G) 47
b) Orthogonal and orthonormal systems in L2(G) SI
c) Fourier series. Complete systems. The Schmidt orthonormalization 54
d) Decomposition of L2(G) into orthogonal subspaces 62
e) Some properties of the inner product 64
Chapter 6. Hilbert Space 66
a) Pre Hilbert space. Hilbert space 66
b) Linear dependence and independence in a Hilbert space. Orthogonal systems, Fourier series 74
c) Orthogonal subspaces. Some properties of the inner product 78
d) The complex Hilbert space 79
Chapter 7. Some Remarks to the Preceding Chapters. Normed Space, Banach Space 81
Chapter 8. Operators and Functionals, especially in Hilbert Spaces 86
a) Operators in Hilbert spaces 87
b) Symmetric, positive, and positive definite operators. Theorems on density 98
c) Functionals. The Riesz theorem 109
Partn. VARIATIONAL METHODS
Chapter 9. Theorem on the Minimum of a Quadratic Functional and its Consequences 113
Chapter 10. The Space HA 121
Chapter 11. Existence of the Minimum of the Functional Fin the Space HA. Generalized Solutions 133
7
VARIATIONAL METHODS IN MATHEMATICS, SCIENCE AND ENGINEERING
Chapter 12. The Method of Orthonormal Series; Example 146
Chapter 13. The Ritz Method 153
Chapter 14. The Galerkin Method 161
Chapter 15. The Least Squares Method. The Courant Method 166
Chapter 16. The Method of Steepest Descent. Example 172
Chapter 17. Summary of Chapters 9 to 16 178
Part III. APPLICATION OF VARIATIONAL METHODS TO THE SOLUTION OF
BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL
EQUATIONS
Chapter 18. The Friedrichs Inequality. The Poincare' Inequality 188
Chapter 19. Boundary Value Problems in Ordinary Differential Equations 199
a) Second order equations 199
b) Higher order equations 219
Chapter 20. Problem of the Choice of a Base 223
a) General principles 223
b) Choice of the base for ordinary differential equations 234
Chapter 21. Numerical Examples: Ordinary Differential Equations 238
Chapter 22. Boundary Value Problems in Second Order Partial Differential Equations 254
Chapter 23. The Biharmonic Operator. (Equations of Plates and Wall beams.) 266
Chapter 24. Operators of the Mathematical Theory of Elasticity 276
Chapter 25. The Choice of a Base for Boundary Value Problems in Partial Differential Equations 285
Chapter 26. Numerical Examples: Partial Differential Equations 293 |
Chapter 27. Summary of Chapters 18 to 26 307 !
Part IV. THEORY OF BOUNDARY VALUE PROBLEMS IN DIFFERENTIAL
EQUATIONS BASED ON THE CONCEPT OF A WEAK SOLUTION AND ON THE
LAX MILGRAM THEOREM
Chapter 28. The Lebesgue Integral. Domains with the Lipschitz Boundary 314
Chapter 29. The Space W$\G) 328
Chapter 30. Traces of Functions from the Space Wf\G). The Space wf\G). The Generalized Friedrichs
and Poincare' Inequalities 337
Chapter 31. Elliptic Differential Operators of Order 2k. Weak Solutions of Elliptic Equations 344
Chapter 32. The Formulation of Boundary Value Problems 355
a) Stable and unstable boundary conditions 355
b) The weak solution of a boundary value problem. Special cases 359
c) Definition of the weak solution of a boundary value problem. The general case 366
Chapter 33. Existence of the Weak Solution of a Boundary Value Problem. F ellipticity. The Lax
Milgram Theorem 383
Chapter 34. Application of Direct Variational Methods to the Construction of an Approximation of
the Weak Solution 399
a) Homogeneous boundary conditions 399
b) Nonhomogcneous boundary conditions 408
c) The method of least squares 414
8
CONTENTS
Chapter 35. The Neumann Problem for Equations of Order 2k (the Case when the Form ((«, «)) is not
K elliptic) 417
Chapter 36. Summary and Some Comments to Chapters 28 to 35 434
Part V. THE EIGENVALUE PROBLEM
Chapter 37. Introduction 441
Chapter 38. Completely Continuous Operators 445
Chapter 39. The Eigenvalue Problem for Differential Operators 462
Chapter 40. The Ritz Method in the Eigenvalue Problem 477
a) The Ritz method 477
b) The problem of the error estimate 485
Chapter 41. Numerical Examples 495
Part VI. SOME SPECIAL METHODS. REGULARITY OF THE WEAK SOLUTION
Chapter 42. The Finite Element Method 503
Chapter 43. The Method of Least Squares on the Boundary for the Biharmonic Equation (for the Prob¬
lem of Wall beams). The Trefftz Method of the Solution of the Dirichlet Problem for the
Laplace Equation 511
a.) First boundary value problem for the biharmonic equation (the problem of wall beams) 512
b) The idea of the method of least squares on the boundary 514
c) Convergence of the method 517
d) The Trefftz method 521
Chapter 44. The Method of Orthogonal Projections 524
Chapter 45. Application of the Ritz Method to the Solution of Parabolic Boundary Value'Problems 533
Chapter 46. Regularity of the Weak Solution, Fulfilment of the Given Equation and of the Boundary Con¬
ditions in the Classical Sense. Existence of the Function w G W^(G) satisfying the Given
Boundary Conditions 545
a) Smoothness of the weak solution 545
b) Existence of the function w e W^(G) satisfying the given boundary conditions 549
Chapter 47. Concluding Remarks, Perspectives of the Presented Theory 551
Table for the Construction of Most Current Functional and of Systems of Ritz Equations 554
References 565
Index 567
9 |
| any_adam_object | 1 |
| author | Rektorys, Karel 1923- |
| author_GND | (DE-588)172329183 |
| author_facet | Rektorys, Karel 1923- |
| author_role | aut |
| author_sort | Rektorys, Karel 1923- |
| author_variant | k r kr |
| building | Verbundindex |
| bvnumber | BV006096587 |
| callnumber-first | Q - Science |
| callnumber-label | QA315 |
| callnumber-raw | QA315.R4413 1980 |
| callnumber-search | QA315.R4413 1980 |
| callnumber-sort | QA 3315 R4413 41980 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 660 |
| ctrlnum | (OCoLC)7977184 (DE-599)BVBBV006096587 |
| dewey-full | 515/.64 515/.6419 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.64 515/.64 19 |
| dewey-search | 515/.64 515/.64 19 |
| dewey-sort | 3515 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Second edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV006096587</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241022</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921030s1980 ne |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9027710600</subfield><subfield code="c">hbk.</subfield><subfield code="9">90-277-1060-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)7977184</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006096587</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">cze</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">ne</subfield><subfield code="c">XA-NL</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA315.R4413 1980</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.64</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.64 19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 660</subfield><subfield code="0">(DE-625)143251:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rektorys, Karel</subfield><subfield code="d">1923-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172329183</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Variacni metody v inzenyrskych problemech a v problemech matematicke fyziky</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Variational methods in mathematics, science and engineering</subfield><subfield code="c">Karel Rektorys</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht ; Boston</subfield><subfield code="b">Reidel</subfield><subfield code="c">1980</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">571 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Calcul des variations</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">EDP</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hilbert, Espaces de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">calcul variation</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">espace Hilbert</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">méthode variationnelle</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">problème aux limites</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">problème valeur propre</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Équations différentielles - Solutions numériques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">équation différentielle</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hilbert space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations -- Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems -- Numerical solutions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Anwendung</subfield><subfield code="0">(DE-588)4196864-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003850419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003850419</subfield></datafield></record></collection> |
| id | DE-604.BV006096587 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-22T14:00:43Z |
| institution | BVB |
| isbn | 9027710600 |
| language | English Czech |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003850419 |
| oclc_num | 7977184 |
| open_access_boolean | |
| owner | DE-703 DE-824 DE-29T DE-521 DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-824 DE-29T DE-521 DE-83 DE-11 DE-188 |
| physical | 571 Seiten |
| psigel | TUB-nveb |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Reidel |
| record_format | marc |
| spelling | Rektorys, Karel 1923- Verfasser (DE-588)172329183 aut Variacni metody v inzenyrskych problemech a v problemech matematicke fyziky Variational methods in mathematics, science and engineering Karel Rektorys Second edition Dordrecht ; Boston Reidel 1980 571 Seiten txt rdacontent n rdamedia nc rdacarrier Calcul des variations ram EDP inriac Hilbert, Espaces de ram calcul variation inriac espace Hilbert inriac méthode variationnelle inriac problème aux limites inriac problème valeur propre inriac Équations différentielles - Solutions numériques ram équation différentielle inriac Calculus of variations Hilbert space Differential equations -- Numerical solutions Boundary value problems -- Numerical solutions Randwertproblem (DE-588)4048395-2 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Variationsrechnung (DE-588)4062355-5 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Anwendung (DE-588)4196864-5 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003850419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rektorys, Karel 1923- Variational methods in mathematics, science and engineering Calcul des variations ram EDP inriac Hilbert, Espaces de ram calcul variation inriac espace Hilbert inriac méthode variationnelle inriac problème aux limites inriac problème valeur propre inriac Équations différentielles - Solutions numériques ram équation différentielle inriac Calculus of variations Hilbert space Differential equations -- Numerical solutions Boundary value problems -- Numerical solutions Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Anwendung (DE-588)4196864-5 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4012249-9 (DE-588)4128130-5 (DE-588)4196864-5 (DE-588)4062355-5 |
| title | Variational methods in mathematics, science and engineering |
| title_alt | Variacni metody v inzenyrskych problemech a v problemech matematicke fyziky |
| title_auth | Variational methods in mathematics, science and engineering |
| title_exact_search | Variational methods in mathematics, science and engineering |
| title_full | Variational methods in mathematics, science and engineering Karel Rektorys |
| title_fullStr | Variational methods in mathematics, science and engineering Karel Rektorys |
| title_full_unstemmed | Variational methods in mathematics, science and engineering Karel Rektorys |
| title_short | Variational methods in mathematics, science and engineering |
| title_sort | variational methods in mathematics science and engineering |
| topic | Calcul des variations ram EDP inriac Hilbert, Espaces de ram calcul variation inriac espace Hilbert inriac méthode variationnelle inriac problème aux limites inriac problème valeur propre inriac Équations différentielles - Solutions numériques ram équation différentielle inriac Calculus of variations Hilbert space Differential equations -- Numerical solutions Boundary value problems -- Numerical solutions Randwertproblem (DE-588)4048395-2 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Anwendung (DE-588)4196864-5 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Calcul des variations EDP Hilbert, Espaces de calcul variation espace Hilbert méthode variationnelle problème aux limites problème valeur propre Équations différentielles - Solutions numériques équation différentielle Calculus of variations Hilbert space Differential equations -- Numerical solutions Boundary value problems -- Numerical solutions Randwertproblem Differentialgleichung Numerisches Verfahren Anwendung Variationsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003850419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rektoryskarel variacnimetodyvinzenyrskychproblemechavproblemechmatematickefyziky AT rektoryskarel variationalmethodsinmathematicsscienceandengineering |