Titlebook: Applied Numerical Methods for Partial Differential Equations; Carl L. Gardner Textbook 2024 The Editor(s) (if applicable) and The Author(s

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书目名称Applied Numerical Methods for Partial Differential Equations影响因子(影响力)




书目名称Applied Numerical Methods for Partial Differential Equations影响因子(影响力)学科排名




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书目名称Applied Numerical Methods for Partial Differential Equations网络公开度学科排名




书目名称Applied Numerical Methods for Partial Differential Equations被引频次




书目名称Applied Numerical Methods for Partial Differential Equations被引频次学科排名




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书目名称Applied Numerical Methods for Partial Differential Equations年度引用学科排名




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书目名称Applied Numerical Methods for Partial Differential Equations读者反馈学科排名

狂热语言

Numerical Methods for Hyperbolic PDEs,d dispersion. Numerical methods for hyperbolic conservation laws should conserve quantities that are conserved for the original continuous PDEs, so conservative numerical methods are always advocated. The methods of choice for nonlinear hyperbolic problems like gas dynamics are WENO or higher-order

Vulnerary

逢迎春日

有限

Rodent

0939-2475 n MATLAB illustrating each of the numerical methods.Emphasiz.The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in int

狂热语言

https://doi.org/10.1007/978-3-642-58928-7es the study of roundoff error and stability. The three types of numerical error intrinsic to digital computing are discussed: (i) roundoff error, (ii) truncation or discretization error, and (iii) numerical instability. A-stability and L-stability are analyzed, as well as the relationship between local truncation error and local error.

占线

G. Frerichs,G. Arends,H. Zörnigprescribed for parabolic and elliptic PDEs, while Cauchy boundary conditions are prescribed for hyperbolic PDEs. A method for classifying general nonlinear systems of PDEs is given, using the symbol of the linearized PDE system. A proof of the Equivalence Theorem for PDE initial value problems is given at the end of the chapter.

Apogee

Consistency, Stability, and Convergence,es the study of roundoff error and stability. The three types of numerical error intrinsic to digital computing are discussed: (i) roundoff error, (ii) truncation or discretization error, and (iii) numerical instability. A-stability and L-stability are analyzed, as well as the relationship between local truncation error and local error.

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