標(biāo)題: Titlebook: Applied Numerical Methods for Partial Differential Equations; Carl L. Gardner Textbook 2024 The Editor(s) (if applicable) and The Author(s [打印本頁(yè)] 作者: Flange 時(shí)間: 2025-3-21 18:30
書目名稱Applied Numerical Methods for Partial Differential Equations影響因子(影響力)
書目名稱Applied Numerical Methods for Partial Differential Equations影響因子(影響力)學(xué)科排名
書目名稱Applied Numerical Methods for Partial Differential Equations網(wǎng)絡(luò)公開度
書目名稱Applied Numerical Methods for Partial Differential Equations網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Applied Numerical Methods for Partial Differential Equations被引頻次
書目名稱Applied Numerical Methods for Partial Differential Equations被引頻次學(xué)科排名
書目名稱Applied Numerical Methods for Partial Differential Equations年度引用
書目名稱Applied Numerical Methods for Partial Differential Equations年度引用學(xué)科排名
書目名稱Applied Numerical Methods for Partial Differential Equations讀者反饋
書目名稱Applied Numerical Methods for Partial Differential Equations讀者反饋學(xué)科排名
作者: 狂熱語(yǔ)言 時(shí)間: 2025-3-21 23:48
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 作者: Vulnerary 時(shí)間: 2025-3-22 03:55 作者: 逢迎春日 時(shí)間: 2025-3-22 08:23 作者: 有限 時(shí)間: 2025-3-22 11:56 作者: Rodent 時(shí)間: 2025-3-22 16:02
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作者: 狂熱語(yǔ)言 時(shí)間: 2025-3-22 18:59
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.作者: 占線 時(shí)間: 2025-3-23 00:18
G. Frerichs,G. Arends,H. Z?rnigprescribed 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.作者: Apogee 時(shí)間: 2025-3-23 02:57
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.作者: scoliosis 時(shí)間: 2025-3-23 08:50 作者: magnate 時(shí)間: 2025-3-23 13:06 作者: BUST 時(shí)間: 2025-3-23 16:17 作者: 多產(chǎn)子 時(shí)間: 2025-3-23 18:55
Hagers Handbuch der Pharmazeutischen Praxisthe numerical growth factor is introduced. For parabolic PDEs, the timestep is adjusted dynamically based on an estimate of the local error or from a divided-difference formula for TRBDF2. TRBDF2 and Newton’s method are applied to simulating nonlinear diffusion for semiconductor wafer processing.作者: OTTER 時(shí)間: 2025-3-23 23:11 作者: senile-dementia 時(shí)間: 2025-3-24 06:01 作者: 核心 時(shí)間: 2025-3-24 09:28
Numerical Methods for Mixed Type PDEs,ep splittings will be given for the drift-diffusion model (parabolic plus elliptic), the incompressible Navier-Stokes equations (incompletely parabolic), and the classical hydrodynamic model (hyperbolic plus parabolic plus elliptic).作者: legitimate 時(shí)間: 2025-3-24 14:26
Hagers Handbuch der Pharmazeutischen Praxisquations), including the development of chaotic solutions with strange attractors. For nonlinear ODEs, especially for stiff ODEs, TRBDF2 (plus Newton’s method) is recommended. Two proofs of the Equivalence Theorem for ODE initial value problems are given.作者: Delectable 時(shí)間: 2025-3-24 15:19 作者: Myocyte 時(shí)間: 2025-3-24 22:41 作者: candle 時(shí)間: 2025-3-25 00:36 作者: Diaphragm 時(shí)間: 2025-3-25 06:06 作者: Endemic 時(shí)間: 2025-3-25 08:10
G. Frerichs,G. Arends,H. Z?rnig discretized nonlinear boundary values problems, Newton’s method should be used to linearize the equations for the solution update, which then can be found with a banded matrix solve. As a nonlinear example, the solution to the boundary layer equation is computed and then compared with a uniform global approximation.作者: 把…比做 時(shí)間: 2025-3-25 14:07
Overview,r vs. nonlinear differential equations. Describes the three differential equation classes with related numerical methods. Ways of validating numerical codes and results are discussed. Recommended numerical methods for ODEs and parabolic, elliptic, and hyperbolic PDEs are tabulated, emphasizing conservative numerical methods for conservation laws.作者: 詞根詞綴法 時(shí)間: 2025-3-25 18:02
Numerical Methods for ODE BVPs, discretized nonlinear boundary values problems, Newton’s method should be used to linearize the equations for the solution update, which then can be found with a banded matrix solve. As a nonlinear example, the solution to the boundary layer equation is computed and then compared with a uniform global approximation.作者: 金桌活畫面 時(shí)間: 2025-3-25 23:47 作者: Outmoded 時(shí)間: 2025-3-26 01:41 作者: 冰河期 時(shí)間: 2025-3-26 06:28 作者: Condescending 時(shí)間: 2025-3-26 08:53
https://doi.org/10.1007/978-3-642-58928-7 Equivalence Theorem. Derivative approximations provide a simple example of discretization error, while an introduction to IEEE floating point motivates the study of roundoff error and stability. The three types of numerical error intrinsic to digital computing are discussed: (i) roundoff error, (ii作者: 他去就結(jié)束 時(shí)間: 2025-3-26 15:42 作者: 珍奇 時(shí)間: 2025-3-26 17:17
G. Frerichs,G. Arends,H. Z?rnig discretized nonlinear boundary values problems, Newton’s method should be used to linearize the equations for the solution update, which then can be found with a banded matrix solve. As a nonlinear example, the solution to the boundary layer equation is computed and then compared with a uniform glo作者: ASTER 時(shí)間: 2025-3-26 21:08
G. Frerichs,G. Arends,H. Z?rnigs classification to the modes of systems of linear and nonlinear PDEs in two or more variables. Dirichlet, Neumann, and Robin boundary conditions are prescribed for parabolic and elliptic PDEs, while Cauchy boundary conditions are prescribed for hyperbolic PDEs. A method for classifying general nonl作者: Cabinet 時(shí)間: 2025-3-27 04:33
Hagers Handbuch der Pharmazeutischen Praxisat/diffusion equations expressed as parabolic conservation laws. Our standard timestepping methods for ODE initial value problems all work for the diffusion equation (with second-order accurate central differences for spatial derivatives): forward Euler, backward Euler, TR, and TRBDF2—highly recomme作者: Neutropenia 時(shí)間: 2025-3-27 08:09
,Physikalische Prüfungsverfahren,ation, and later methods for solving the 3D Laplace equation and the 2D and 3D Poisson equation are discussed. In 1D, the banded matrix direct method is faster, but in 2D and 3D, modern iterative methods are faster. In 3D, not only are modern iterative methods much faster than banded/sparse matrix d作者: 粗語(yǔ) 時(shí)間: 2025-3-27 13:13
G. Frerichs,G. Arends,H. Z?rnignd magnetohydrodynamics are completely different from numerical methods for parabolic PDEs. In hyperbolic PDEs, information propagates along characteristic curves in the form of waves with finite velocity. Mathematically appropriate boundary conditions for hyperbolic PDEs are Cauchy, which are based作者: Congeal 時(shí)間: 2025-3-27 17:20 作者: 暫停,間歇 時(shí)間: 2025-3-27 21:50
https://doi.org/10.1007/978-3-031-69630-5numerical methods for differential equations; fluid and gas dynamics methods; WENO, PCG, and TRBDF2 me作者: 口音在加重 時(shí)間: 2025-3-27 22:10
978-3-031-69632-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: CRANK 時(shí)間: 2025-3-28 04:00 作者: VEST 時(shí)間: 2025-3-28 09:13
Consistency, Stability, and Convergence, Equivalence Theorem. Derivative approximations provide a simple example of discretization error, while an introduction to IEEE floating point motivates the study of roundoff error and stability. The three types of numerical error intrinsic to digital computing are discussed: (i) roundoff error, (ii作者: nascent 時(shí)間: 2025-3-28 10:58 作者: CLAP 時(shí)間: 2025-3-28 15:45 作者: 使熄滅 時(shí)間: 2025-3-28 18:59 作者: SMART 時(shí)間: 2025-3-28 23:17
Numerical Methods for Parabolic PDEs,at/diffusion equations expressed as parabolic conservation laws. Our standard timestepping methods for ODE initial value problems all work for the diffusion equation (with second-order accurate central differences for spatial derivatives): forward Euler, backward Euler, TR, and TRBDF2—highly recomme
