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Finite differences
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11	9 Finite Elements We have seen how to use finite differences to approximate partial differential equations on a lattice, and how to analyze and improve the stability and accuracy of these approximations. As powerful as Add to Reading List Source URL: fab.cba.mit.edu Language: English - Date: 2014-03-18 08:26:45 Differential equations Differential calculus Ordinary differential equations Numerical analysis Multivariable calculus Partial differential equation Wave equation Variation of parameters Galerkin method Calculus Mathematical analysis Mathematics
12	8 Finite Differences: Partial Differential Equations The world is defined by structure in space and time, and it is forever changing in complex ways that can’t be solved exactly. Therefore the numerical solution of pa Add to Reading List Source URL: fab.cba.mit.edu Language: English - Date: 2014-03-11 09:22:55 Numerical analysis Partial differential equations Multivariable calculus Ordinary differential equation Finite difference method Wave equation Discretization Differential equation Finite difference Calculus Mathematical analysis Mathematics
13	Finite differences (cont.) Add to Reading List Source URL: ocw.mit.edu Language: English - Date: 2015-04-02 12:13:45 Numerical analysis Partial differential equation Wave equation Differential equation Finite volume method Finite difference Discretization Wave Von Neumann stability analysis Mathematical analysis Calculus Mathematics
14	Journal of Computational Physics 176, 40–[removed]doi:[removed]jcph[removed], available online at http://www.idealibrary.com on Grid Adaptation for Functional Outputs: Application to Two-Dimensional Inviscid Flows Dav Add to Reading List Source URL: raphael.mit.edu Language: English - Date: 2007-03-30 13:48:18 Finite differences Adaptive mesh refinement Finite difference method Finite difference Residual Partial differential equations Computational fluid dynamics Mathematical analysis Mathematics Numerical analysis
15	Finite differences (cont.) Add to Reading List Source URL: ocw.mit.edu Language: English - Date: 2015-04-02 12:13:45 Finite differences Interpolation Finite difference method Finite difference Polynomials Numerical differentiation Partial differential equation Polynomial interpolation Computational fluid dynamics Mathematical analysis Mathematics Numerical analysis
16	End of linear algebraic systems and finite differences Add to Reading List Source URL: ocw.mit.edu Language: English - Date: 2015-04-02 12:13:45 Iterative method Krylov subspace Conjugate gradient method Generalized minimal residual method Preconditioner Gauss–Seidel method Biconjugate gradient method Successive over-relaxation Mathematical optimization Numerical analysis Numerical linear algebra Mathematics
17	Finite differences (cont.) Add to Reading List Source URL: ocw.mit.edu Language: English - Date: 2015-04-02 12:13:45 Numerical analysis Control theory Differential equations Ordinary differential equations Joseph Fourier Partial differential equation Finite difference Wave equation Wave Mathematical analysis Calculus Mathematics
18	Finite differences (cont.) Add to Reading List Source URL: ocw.mit.edu Language: English Numerical analysis Interpolation Polynomials Finite difference method Finite difference Polynomial interpolation Taylor series Partial differential equation Numerical differentiation Mathematical analysis Mathematics Finite differences
19	Finite differences (cont.) Add to Reading List Source URL: ocw.mit.edu Language: English - Date: 2014-12-04 10:47:19 Computational fluid dynamics Numerical analysis Partial differential equations Multivariable calculus Finite difference method Differential equation Heat equation Wave equation Finite difference Calculus Mathematical analysis Mathematics
20	Fractional Central Differences and Derivatives MANUEL DUARTE ORTIGUEIRA UNINOVA and Department of Electrical Engineering, Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa, Campus da FCT da UNL, Quinta d Add to Reading List Source URL: run.unl.pt Language: English - Date: 2010-10-18 07:42:57 Differential calculus Singular integrals Finite difference Generalizations of the derivative Derivative Grünwald–Letnikov derivative Fourier transform Hilbert transform Fourier series Mathematical analysis Fractional calculus Integral transforms