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Iterative Solution of Large Sparse Systems of E...
96,29 € *
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C. F. GauS in a letter from Dec. 26, 1823 to Gerling: 3c~ empfe~le 3~nen biegen IDlobu9 aur 9tac~a~mung. ec~werlic~ werben eie ie wieber bi reet eliminiren, wenigftens nic~t, wenn eie me~r als 2 Unbefannte ~aben. :Da9 inbirecte 93erfa~ren 109st sic~ ~alb im ec~lafe ausfii~ren, ober man fann wo~renb be9gelben an anbere :Dinge benfen. [CO F. GauS: Werke vol. 9, Gottingen, p. 280, 1903] What difference exists between solving large and small systems of equations? The standard methods well-known to any student oflinear algebra are appli cable to all systems, whether large or small. The necessary amount of work, however, increases dramatically with the size, so one has to search for algo rithms that most efficiently and accurately solve systems of 1000, 10,000, or even one million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretisation of partial differential equations. In this case, the matrices are sparse (i. e. , they contain mostly zeros) and well-suited to iterative algorithms. Because of the background in partial differential equa tions, this book is closely connected with the author's Theory and Numerical Treatment of Elliptic Differential Equations, whose English translation has also been published by Springer-Verlag. This book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics.

Anbieter: Dodax
Stand: 08.07.2020
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Iterative Solution of Large Sparse Systems of E...
69,06 € *
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In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Anbieter: Dodax
Stand: 08.07.2020
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French Loan Words in the English Language
15,90 CHF *
zzgl. 3,50 CHF Versand

Seminar paper from the year 2012 in the subject English Language and Literature Studies - Linguistics, grade: 1,3, Christian-Albrechts-University of Kiel (Englisches Seminar), course: English Lexicology: Words and their Meaning, language: English, abstract: The dates for the beginning and end of the Middle English period are rather controversial. But many linguists do agree that by 1100 certain changes to the English language were sufficiently well established to justify the use of the adjective middle to designate the language in what was actually a phase of transition from the English of the early Middle Ages - Old English - to that of the first printed books at the end of the 15th century. During this period many changes occurred that may be noted in nearly every aspect of the language: in its phonology, its semantics and in its lexicon, where many Old English words were replaced by borrowed items from the French language. But although the French influence did not cease with the end of the 15th century, due to its size of merely seven pages this term paper will concentrate on the Middle English period. Starting with a short introduction to the historical background of the French Influence on the English language, there will be examples of the borrowed vocabulary, explanations why they were borrowed and how they can be further distinguished into loan words from Norman and Central French. Moreover, there will be an analysis of how the process of borrowing led to the highly distinctive vocabulary of the English language regarding register and style. The structure of this term paper is chronological as it seemed to be the most appropriate regarding the historical nature of this paper's topic.

Anbieter: Orell Fuessli CH
Stand: 08.07.2020
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Iterative Solution of Large Sparse Systems of E...
179,00 CHF *
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In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Anbieter: Orell Fuessli CH
Stand: 08.07.2020
Zum Angebot
Iterative Solution of Large Sparse Systems of E...
162,90 CHF *
ggf. zzgl. Versand

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Anbieter: Orell Fuessli CH
Stand: 08.07.2020
Zum Angebot
French Loan Words in the English Language
3,90 CHF *
ggf. zzgl. Versand

Seminar paper from the year 2012 in the subject English Language and Literature Studies - Linguistics, grade: 1,3, Christian-Albrechts-University of Kiel (Englisches Seminar), course: English Lexicology: Words and their Meaning, language: English, abstract: The dates for the beginning and end of the Middle English period are rather controversial. But many linguists do agree that by 1100 certain changes to the English language were sufficiently well established to justify the use of the adjective middle to designate the language in what was actually a phase of transition from the English of the early Middle Ages - Old English - to that of the first printed books at the end of the 15th century. During this period many changes occurred that may be noted in nearly every aspect of the language: in its phonology, its semantics and in its lexicon, where many Old English words were replaced by borrowed items from the French language. But although the French influence did not cease with the end of the 15th century, due to its size of merely seven pages this term paper will concentrate on the Middle English period. Starting with a short introduction to the historical background of the French Influence on the English language, there will be examples of the borrowed vocabulary, explanations why they were borrowed and how they can be further distinguished into loan words from Norman and Central French. Moreover, there will be an analysis of how the process of borrowing led to the highly distinctive vocabulary of the English language regarding register and style. The structure of this term paper is chronological as it seemed to be the most appropriate regarding the historical nature of this paper's topic.

Anbieter: Orell Fuessli CH
Stand: 08.07.2020
Zum Angebot
French Loan Words in the English Language
10,30 € *
zzgl. 3,00 € Versand

Seminar paper from the year 2012 in the subject English Language and Literature Studies - Linguistics, grade: 1,3, Christian-Albrechts-University of Kiel (Englisches Seminar), course: English Lexicology: Words and their Meaning, language: English, abstract: The dates for the beginning and end of the Middle English period are rather controversial. But many linguists do agree that by 1100 certain changes to the English language were sufficiently well established to justify the use of the adjective middle to designate the language in what was actually a phase of transition from the English of the early Middle Ages - Old English - to that of the first printed books at the end of the 15th century. During this period many changes occurred that may be noted in nearly every aspect of the language: in its phonology, its semantics and in its lexicon, where many Old English words were replaced by borrowed items from the French language. But although the French influence did not cease with the end of the 15th century, due to its size of merely seven pages this term paper will concentrate on the Middle English period. Starting with a short introduction to the historical background of the French Influence on the English language, there will be examples of the borrowed vocabulary, explanations why they were borrowed and how they can be further distinguished into loan words from Norman and Central French. Moreover, there will be an analysis of how the process of borrowing led to the highly distinctive vocabulary of the English language regarding register and style. The structure of this term paper is chronological as it seemed to be the most appropriate regarding the historical nature of this paper's topic.

Anbieter: Thalia AT
Stand: 08.07.2020
Zum Angebot
Iterative Solution of Large Sparse Systems of E...
143,99 € *
ggf. zzgl. Versand

In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Anbieter: Thalia AT
Stand: 08.07.2020
Zum Angebot
French Loan Words in the English Language
2,99 € *
ggf. zzgl. Versand

Seminar paper from the year 2012 in the subject English Language and Literature Studies - Linguistics, grade: 1,3, Christian-Albrechts-University of Kiel (Englisches Seminar), course: English Lexicology: Words and their Meaning, language: English, abstract: The dates for the beginning and end of the Middle English period are rather controversial. But many linguists do agree that by 1100 certain changes to the English language were sufficiently well established to justify the use of the adjective middle to designate the language in what was actually a phase of transition from the English of the early Middle Ages - Old English - to that of the first printed books at the end of the 15th century. During this period many changes occurred that may be noted in nearly every aspect of the language: in its phonology, its semantics and in its lexicon, where many Old English words were replaced by borrowed items from the French language. But although the French influence did not cease with the end of the 15th century, due to its size of merely seven pages this term paper will concentrate on the Middle English period. Starting with a short introduction to the historical background of the French Influence on the English language, there will be examples of the borrowed vocabulary, explanations why they were borrowed and how they can be further distinguished into loan words from Norman and Central French. Moreover, there will be an analysis of how the process of borrowing led to the highly distinctive vocabulary of the English language regarding register and style. The structure of this term paper is chronological as it seemed to be the most appropriate regarding the historical nature of this paper's topic.

Anbieter: Thalia AT
Stand: 08.07.2020
Zum Angebot