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John C. Strikwerda
 
John C. Strikwerda
  
Chapter 1. [[Hyperbolic Partial Differential Equations]]
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Chapter 1. Hyperbolic Partial Differential Equations
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:The important concepts of convergence, consistency, and stability are presented and shown to be related by the Lax-Richtmyer equivalence theorem. The chapter concludes with a discussion of the Courant-Friedrichs-Lewy condition and related topics.
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::[[1.1 Overview of Hyperbolic Partial Differential Equations]]
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::[[1.2 Boundary Conditions]]
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::[[1.3 Introduction to Finite Difference Schemes]]
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::[[1.4 Convergence and Consistency]]
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::[[1.5 Stability]]
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::[[1.6 The Courant-Fridrichs-Lewy Condition]]

2017년 8월 21일 (월) 17:52 기준 최신판

2nd ed.

John C. Strikwerda

Chapter 1. Hyperbolic Partial Differential Equations

The important concepts of convergence, consistency, and stability are presented and shown to be related by the Lax-Richtmyer equivalence theorem. The chapter concludes with a discussion of the Courant-Friedrichs-Lewy condition and related topics.
1.1 Overview of Hyperbolic Partial Differential Equations
1.2 Boundary Conditions
1.3 Introduction to Finite Difference Schemes
1.4 Convergence and Consistency
1.5 Stability
1.6 The Courant-Fridrichs-Lewy Condition