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Büchi’s Monadic Second Order Successor Arithmetic
Konvergenz von Differenzenverfahren für halblineare Anfangswertaufgaben
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Author(s):
R. Hass
Publication date
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August 24 2006
Publisher:
Springer Berlin Heidelberg
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Survey of the stability of linear finite difference equations
P. Lax
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R. Richtmyer
(1956)
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Difference methods for initialvalue problems
R.D. Richtmyer
,
RD Richtmyer
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D. Richtmyer R.
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(1967)
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Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangs - wertaufgaben
R. Ansorge
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R. Hass
(1970)
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Publication date (Print):
1972
Publication date (Online):
August 24 2006
Pages
: 99-116
DOI:
10.1007/BFb0061616
SO-VID:
eb570f75-245b-48fd-b5f5-be2e6eebaffe
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Book chapters
pp. 1
Klein surfaces
pp. 1
I. Permutations and combinations
pp. 1
Decidability and completeness of SC
pp. 1
Rappels
pp. 1
Einleitung
pp. 1
Introduction
pp. 1
Introduction
pp. 1
Introduction des foncteurs
pp. 1
Purpose of this monograph
pp. 1
Introduction
pp. 1
Introduction
pp. 1
Préliminaires
pp. 1
Formulas and classes
pp. 1
Semigroup valued outer measures
pp. 1
Notation, symbols
pp. 1
Decidability and completeness of SC
pp. 1
Introduction
pp. 1
Function fields and valuations
pp. 1
The Eilenberg-Moore spectral sequence as a kunneth spectralsSequence
pp. 1
General notions of thinness and fine topology
pp. 1
Notions Fondamentales
pp. 1
Processus stochastiques lineaires et mesures cylindriques
pp. 1
Introduction and survey
pp. 1
Kategorische Vorbemerkungen
pp. 1
The affine automorphism groups of siegel domains
pp. 1
Zermelo-Fraenkel set theory
pp. 1
General theory of strong ILB-Lie groups and subgroups
pp. 1
Prerequisites
pp. 1
Preliminaries
pp. 1
Introduction
pp. 1
Chapter I. Introduction to semisimple theory
pp. 10
Einführung
pp. 2
Foreword
pp. 3
Zur Existenz von Lösungen gewisser nichtlinearer elliptischer Randwertaufgaben
pp. 4
Some translation planes that are not well known
pp. 11
Kategorien kompakt erzeugter Räume
pp. 12
The Iwasawa subgroups
pp. 12
Résultats explicites pour un ensemble d'indices dénombrable
pp. 13
A formal system of classical analysis
pp. 15
Über eine Linearisierung von F(z xx , z xy , z yy )=0
pp. 16
Transformees de fourier des mesures cylindriques
pp. 2
Axioms of Zermelo-Fraenkel
pp. 2
Finite fields
pp. 2
Examples
pp. 20
The Riemann-Roch theorem
pp. 23
Constructible sets
pp. 24
The constructible universe
pp. 27
Groups of diffeomorphisms
pp. 3
Leitfaden
pp. 38
Measurable and integrable functions
pp. 4
Second order equations
pp. 4
II. Inversion formulae
pp. 40
Die Indexmethode
pp. 42
La méthode de Schneider
pp. 45
Chapter II. Results on induced representations
pp. 49
Linear groups and collineation groups
pp. 5
The category of discrete semilattices and the category of compact zero-dimensional semilattices
pp. 5
The maximum likelihood estimator
pp. 54
Multiplicative fibrations
pp. 6
Definitions and fundamental properties
pp. 6
Non-commutative algebra
pp. 7
La Mackey-Convergence
pp. 8
Preliminaries
pp. 8
Cohomologie des faisceaux
pp. 8
Iterative methods in real Hilbert spaces
pp. 83
Real-algebraic function fields
pp. 86
Benefits of the decision procedure
pp. 86
Benefits of the decision procedure
pp. 9
Notion of reduced function. Applications. Strong thinness and strong unthinness
pp. 9
General theory
pp. 118
The cobar construction: Applications
pp. 12
The maximum probability estimator
pp. 18
General results on fine limits
pp. 18
j-Algebras
pp. 18
Multiplier criteria for (C,α)-bounded expansions
pp. 21
III. Generating functions and recursions
pp. 22
Separation. — Espaces Mackey-Complets
pp. 23
Einschliessungsaussagen bei Differentialgleichungen
pp. 23
Kategorien kompakt erzeugter reeller Vektorräume
pp. 24
Sur la dimension cohomologique d'un ensemble de puissance xK
pp. 28
The character theory of compact and discrete semilattices
pp. 28
Elimination of extensionality
pp. 29
The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis
pp. 31
Iterative methods in complex Hilbert spaces
pp. 34
Linear hamiltonian systems
pp. 37
Le theoreme de bochner
pp. 4
Unramified morphisms
pp. 41
Basic theorems I
pp. 43
Compact mappings
pp. 44
Hyperfonctions
pp. 46
Fraenkel - Mostowski - Specker models
pp. 48
Residue class algebras of enveloping algebras
pp. 5
Factorization of polynomials
pp. 53
Fredholm alternative for nonlinear operators
pp. 54
Zeta function and L-functions
pp. 55
Cauchy's problem and the analytic continuation of solutions to elliptic equations
pp. 6
Ordinal numbers
pp. 67
Chapter III. Representations of group extensions
pp. 70
Die Integralformelmethode Integralformeln
pp. 71
La méthode de Gel'fond
pp. 8
Ergodic theorem
pp. 82
Differentiation
pp. 100
Type de transcendance
pp. 109
Die Maximummethode
pp. 11
Galois groups
pp. 13
Conditional probabilities and expectations. Doob's martingale theorem
pp. 22
Quasi-topological notions
pp. 26
Universal j-algebras
pp. 28
Espaces Bornologiques Complets
pp. 30
Maximum probability estimators with a general loss function
pp. 31
Les suites spectrales pour
pp. 33
IV. Partitions
pp. 33
Smooth morphisms
pp. 41
Translation of classical into intuitionistic approximated theories
pp. 43
The Souslin hypothesis
pp. 48
Integration sur un espace completement regulier
pp. 49
Differenzierbarkeit
pp. 50
Inverse mapping theorems
pp. 51
Particular summation methods
pp. 51
Nichtlineare Homotopien zur Konstruktion von Startlösungen für Iterationsverfahren
pp. 53
Application of duality to lattice theory
pp. 53
Vector bundle over strong ILB-Lie groups
pp. 67
Some properties of solutions of the Navier-Stokes equations
pp. 74
Successive approximation methods
pp. 76
Cohen extensions of ZF-models
pp. 77
Opérateurs elliptiques
pp. 77
Ljusternik-Schnirelmann theory
pp. 81
Equations of arbitrary order
pp. 87
Chapter IV. Nilpotent groups
pp. 88
Primitive ideals and orbit spaces
pp. 9
Cardinal numbers
pp. 92
Constant field extensions
pp. 106
Chapter V. Representations of algebraic groups
pp. 116
Morse-Sard theorem
pp. 118
Gradient methods
pp. 12
Finite sets
pp. 132
Prime ideals and stable spectra
pp. 14
Continued fractions
pp. 143
Un critère de transcendance
pp. 19
Entropy and conditional entropy
pp. 32
Weak thinness
pp. 35
Universal domains
pp. 38
Applications à la théorie des dimensions homologiques des anneaux et des modules
pp. 40
V. Distinct representatives
pp. 40
Asymptotic behavior of the likelihood function. Asymptotically sufficient statistics
pp. 41
Le Theoreme Du Graphe Mackey-Ferme
pp. 53
The Kurepa hypothesis
pp. 59
Stetige Differenzierbarkeit
pp. 63
Etale morphisms
pp. 68
Review of the smooth extension theorem and a remark on elliptic operators
pp. 68
Convergence des mesures
pp. 71
Zur Randwerttechnik bei der Lösung schwach nichtlinearer parabolischer Differentialgleichungen
pp. 74
Applications to particular expansions
pp. 76
Differentiability of semi-norms
pp. 92
Applications of duality to the structure theory of compact zero dimensional semilattices
pp. 98
Résultats divers
pp. 102
Logarithmic convexity and the Cauchy problem for P(t)utt+M(t)ut+N(t)u=C in Hilbert space
pp. 118
Valeurs au bord des fonctions holomorphes
pp. 13
Real numbers
pp. 141
Chapter VI. Solvable groups
pp. 152
The converse of Ljusternik-Schnirelmann theory
pp. 163
Zéros de polynômes exponentiels
pp. 18
Field extensions
pp. 232
Ouelques Resultats sur les Interpretations Fonctionnelles
pp. 29
Entropy of a Transformation
pp. 37
Notions in classical potential theory
pp. 42
A generalization of borel imbeddings
pp. 46
Dualite Bornologique
pp. 51
Efficiency of maximum likelihood estimators
pp. 51
Des résultats complémentaires sur la dimension cohomologique d'un ensemble ordonné
pp. 59
The calculus T of the primitive recursive functionals
pp. 59
Constructibility and the continuum
pp. 69
VI. Ramsey's theorem
pp. 75
Mehrfache stetige Differenzierbarkeit
pp. 75
Basic theorems II (Frobenius theorem)
pp. 81
The hopscotch class of difference methods for partial differential equations
pp. 83
Operations sur les mesures de radon
pp. 89
Some fundamental theorems
pp. 98
Smoothness
pp. 111
Differentiability of mappings of a real variable
pp. 15
Axiom of choice
pp. 183
Propriétés d'indépendance algébrique de la fonction exponentielle
pp. 24
Modules and orders
pp. 34
The Shannon-McMillan-Breiman theorem
pp. 52
Cayley transforms of universal domains
pp. 54
Classical fine topology-general properties
pp. 56
Des conditions topologiques pour l’annulation de
pp. 56
Bornologies Equicontinues. — Bornologies De Schwartz
pp. 61
Testing hypotheses
pp. 68
Functional interpretation of classical arithmetic plus (ER)-qf, (AC)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), \((\underrightarrow V)\) in T
pp. 73
The Jensen hierarchy of constructible sets
pp. 77
VII. Some extremal problems
pp. 83
Frobenius theorem on strong ILB-Lie groups
pp. 85
Unendliche Differenzierbarkeit
pp. 95
Limites projectives de mesures de radon
pp. 99
Konvergenz von Differenzenverfahren für halblineare Anfangswertaufgaben
pp. 112
Espaces polonais, lusiniens, sousliniens et radoniens
pp. 124
Sets of differentiable mappings
pp. 16
Cardinal arithmetic
pp. 227
La méthode de Baker
pp. 274
The arithmetic theory of constructions
pp. 29
Products of linear forms
pp. 36
Mixing, kolmogorov-automorphisms
pp. 61
Applications to balayage, weights and capacities
pp. 64
Remarks on harish-chandra imbeddings
pp. 67
Bornologies Nucleaires
pp. 68
Applications aux anneaux et modules complets
pp. 76
The calculus T⋃BR of the bar recursive functionals
pp. 80
VIII. Convex spaces
pp. 86
The fine structure of the Jensen hierarchy
pp. 95
Integration vs Differentiation
pp. 95
Miscellaneous examples
pp. 104
The combinatorial principles □κ
pp. 107
Fixpunktsätze und Anwendungen bei gewöhnlichen Differentialgleichungen
pp. 114
Primitive transformation groups
pp. 139
Über Differenzenverfahren von monotoner Art für nichtlineare parabolische Randwertprobleme
pp. 140
Topologies equivalentes
pp. 19
Axiom of regularity
pp. 299
The priority method for the construction of recursively enumerable sets
pp. 35
Units in algebraic number fields
pp. 43
Isomorphism of bernoulli shifts sinai and Ornstein's theorems
pp. 71
Realizations as siegel domains of type III
pp. 73
Further study of classical thinness. Some applications
pp. 78
Sur l'annulation de pour des systèmes projectifs de modules de type fini sur un anneau noethérien
pp. 82
IX. De bruign sequences
pp. 88
Functional interpretation of classical (AC)o-, (ωAC)-analysis with (ER)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), \((\underrightarrow V),( \urcorner \Lambda \urcorner )^o ,(\mathop \omega \limits^{ \urcorner \urcorner } AC)\) in T⋃BR
pp. 90
Bornologies A Base Denombrable Dans Les Espaces Vectories Topologiques
pp. 101
Topologies Et Bornologies Pseudo-Convexes
pp. 115
The generalised Souslin hypothesis for successor cardinals
pp. 123
Lie algebras of vector fields
pp. 152
Les theoremes de type Bochner et P. Levy
pp. 20
Transitive models
pp. 311
Admissible ordinals and priority arguments
pp. 40
Class numbers of algebraic number fields
pp. 54
Entropy and generators. Krieger's theorem
pp. 86
Relations with the Choquet boundary
pp. 93
X. Block designs
pp. 93
Further consequences from the functional interpretation of classical analysis
pp. 103
XI. Difference sets
pp. 104
Contre-Exemples
pp. 119
Ineffable cardinals and the generalised Kurepa hypothesis
pp. 140
Linear groups and groups of diffeomorphisms
pp. 180
Mesures cylindriques gaussiennes
pp. 32
Constructible sets
pp. 345
Abstract computability versus analog-generability (a survey)
pp. 51
Class groups and class fields of algebraic number fields
pp. 58
Discussion
pp. 90
Extension to axiomatic theories of harmonic functions
pp. 98
Consistency proof by computation. Computation of T⋃BRo...o⋃μ
pp. 105
XII. Finite geometries
pp. 112
Distributions Dans Les Espaces Bornologiques Et Distributions Operationnelles
pp. 120
Generalized inductive definitions
pp. 130
Weakly compact cardinals and the generalised Souslin hypothesis
pp. 196
Applications radonifiantes
pp. 233
Equivalence theorems for nonlinear finite-difference methods
pp. 35
Consistency of AC and GCH
pp. 56
Diophantine equations
pp. 99
Abstract minimal thinness, minimal boundary, minimal fine topology
pp. 106
General compactification of constantinescu-cornea first examples of application
pp. 111
XIII. Orthogonal latin squares
pp. 129
Generalization of bar induction BID and the inductive generation processes to trees over species
pp. 137
Applications Differentiables Entre Espaces Bornologiques
pp. 138
The Gap-1 two cardinals theorem
pp. 265
Numerical treatment of hammerstein-equations by variational methods
pp. 36
More on transitive models
pp. 419
The maximum sum of a family of ordinals
pp. 70
The hasse principle for cubic surfaces
pp. 111
Classical martin space the martin integral representation
pp. 120
XIV. Hadamard matrices
pp. 134
A model for T⋃BR
pp. 145
Gap-1 morasses
pp. 289
Ein Verfahren höherer Ordnung zur Diskretisierung von nichtlinearen, selbstadjungierten Randwertproblemen
pp. 41
Ordinal definability
pp. 439
Effective implications between the "finite" choice axioms
pp. 122
Classical martin space and minimal thinness
pp. 125
XV. Constructions of block designs
pp. 137
On the bar recursive model of classical analysis and the general bar induction over species
pp. 171
The gap-2 two cardinals theorem. (Jensen)
pp. 305
Iterationsverfahren für elliptische (nichtlineare) Differenzenoperatoren in Divergenzform
pp. 47
Remarks on complete boolean algebras
pp. 135
Classical martin boundary dirichlet problem and boundary behaviour
pp. 183
Small large cardinals
pp. 323
Über komplementäre Extremalprobleme bei nichtlinearen Randwertaufgaben
pp. 51
The method of forcing and boolean — valued models
pp. 148
Comparison of both thinnesses. Fine limits and non-tangential limits. (Classical case. Examples)
pp. 186
Medium large cardinals
pp. 62
Independence of the continuum hypothesis and collapsing of cardinals
pp. 160
Martin space and minimal thinness in axiomatic theories — short survey
pp. 188
Large large cardinals
pp. 531
On chromatic number of graphs and set systems
pp. 74
Two applications of boolean-valued models in the theory of boolean algebras
pp. 206
Relative constructibility
pp. 78
Lebesgue measurability
pp. 214
The inner model L[μ]
pp. 573
Errata
pp. 90
Suslin's problem
pp. 229
Strongly compact cardinals and relative constructibility
pp. 574
Descriptive set theory in \(L_{\omega _l \omega }\)
pp. 99
Martin's axiom
pp. 109
Perfect forcing
pp. 599
Modal model theory
pp. 113
Remark on ordinal definability
pp. 618
A preservation theorem for interpretations
pp. 114
Independence of AC
pp. 622
Vaught sentences and Lindström's regular relations
pp. 122
Fraenkel-mostowski models
pp. 125
Embedding of FM models in models of ZF
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