| dbo:abstract |
في التحليل العددي والحوسبة العلمية تعتبر أساليب غاوس-ليجندر واحدة من أساليب لحل المعادلات التفاضلية العادية. حيث تعتبر طرق غاوس-ليجندر من أساليب رونج-كوتا الضمنية. وبشكل أكثر تحديدا فهي إحدى طرق التجميع على أساس نقاط غاوس-ليجيندر التربيع. (ar) In numerical analysis and scientific computing, the Gauss–Legendre methods are a family of numerical methods for ordinary differential equations. Gauss–Legendre methods are implicit Runge–Kutta methods. More specifically, they are collocation methods based on the points of Gauss–Legendre quadrature. The Gauss–Legendre method based on s points has order 2s. All Gauss–Legendre methods are A-stable. The Gauss–Legendre method of order two is the implicit midpoint rule. Its Butcher tableau is: The Gauss–Legendre method of order four has Butcher tableau: The Gauss–Legendre method of order six has Butcher tableau: The computational cost of higher-order Gauss–Legendre methods is usually excessive, and thus, they are rarely used. (en) |
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wiki-commons:Special:FilePath/Lorenz_Attractor_from_Gauss-Legendre.png?width=300 |
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https://books.google.com/books%3Fid=7Zofw3SFTWIC&q=%22Gauss%E2%80%93Legendre%22 |
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dbr:Cambridge_University_Press dbr:Midpoint_method dbr:Butcher_tableau dbr:Gaussian_quadrature dbr:Gauss–Legendre_quadrature dbr:Collocation_method dbr:Numerical_analysis dbr:Numerical_methods_for_ordinary_differential_equations dbc:Runge–Kutta_methods dbr:Taylor_series dbr:Scientific_computing dbr:Newton's_method dbr:Ordinary_differential_equation dbr:Runge–Kutta_methods dbr:A-stability dbr:File:Lorenz_Attractor_from_Gauss-Legendre.png |
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yago:WikicatRunge–KuttaMethods yago:Ability105616246 yago:Abstraction100002137 yago:Cognition100023271 yago:Know-how105616786 yago:Method105660268 yago:PsychologicalFeature100023100 |
| rdfs:comment |
في التحليل العددي والحوسبة العلمية تعتبر أساليب غاوس-ليجندر واحدة من أساليب لحل المعادلات التفاضلية العادية. حيث تعتبر طرق غاوس-ليجندر من أساليب رونج-كوتا الضمنية. وبشكل أكثر تحديدا فهي إحدى طرق التجميع على أساس نقاط غاوس-ليجيندر التربيع. (ar) In numerical analysis and scientific computing, the Gauss–Legendre methods are a family of numerical methods for ordinary differential equations. Gauss–Legendre methods are implicit Runge–Kutta methods. More specifically, they are collocation methods based on the points of Gauss–Legendre quadrature. The Gauss–Legendre method based on s points has order 2s. All Gauss–Legendre methods are A-stable. The Gauss–Legendre method of order two is the implicit midpoint rule. Its Butcher tableau is: The Gauss–Legendre method of order four has Butcher tableau: (en) |
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طرق غاوس-ليجندر (ar) Gauss–Legendre method (en) |
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