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Effect on methods like Crank-Nicolson of adding a potential term, changing heat equation to Schrodinger equation

pde finite-difference computational-physics

modified Jul 3 at 18:34 nicoguaro♦ 5,646

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1

answer

81

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$P0$ elements for $H1$

finite-element finite-difference finite-volume discontinuous-galerkin

modified Jul 2 at 10:37 lightxbulb 151

2

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1

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177

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Solving nonlinear PDE with finite difference based on Newton-Krylov

finite-difference petsc c newton-method krylov-method

modified Jul 1 at 1:03 Community♦ 1

8

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2

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Use of machine learning in computational fluid dynamics

finite-difference fluid-dynamics machine-learning numerics

modified Jun 30 at 15:02 EngrStudent 271

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How to derive the corrector step for the eq $\frac{\partial u}{\partial t}+\frac{\partial f}{\partial x}=0$

pde finite-difference

modified Jun 30 at 14:46 Almendrof66 31

2

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1

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180

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Is there a simple way to avoid carbuncles for FD WENO methods?

finite-difference

modified Jun 26 at 4:06 Community♦ 1

2

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2

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89

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Finite difference method having a discontinuity

finite-difference boundary-conditions differential-equations

answered Jun 26 at 3:31 Wolfgang Bangerth 43.3k

3

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0

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34

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Numerical calculation of the Berry connection

linear-algebra finite-difference numerics lapack

asked Jun 22 at 9:19 Daniel Kaplan 31

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1

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44

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2D heat equation in both steady state and Transient state using iterative solvers

finite-difference iterative-method

answered Jun 10 at 15:45 Daniel Shapero 6,223

3

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1

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78

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Finite difference methods in cylindrical and spherical co-ordinate systems

finite-difference fluid-dynamics numerical-modelling advection-diffusion electromagnetism

modified May 30 at 15:34 Siddharth Bachoti 73

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29

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How to fill matrix entries for two-dimensional implicit finite-difference for the general case

finite-difference sparse-matrix implicit-methods

answered May 25 at 2:00 whpowell96 1,032

4

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2

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103

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Kronecker product representation of the finite difference laplacian

finite-difference boundary-conditions poisson electromagnetism laplacian

answered May 23 at 3:02 whpowell96 1,032

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89

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Numerical methods that can be written in flux conservative form

pde finite-difference nonlinear-equations hyperbolic-pde conservation

modified May 20 at 10:56 David Ketcheson 15.4k

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0

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43

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When to discretize nonlinear Poisson Equation

pde finite-difference elliptic-pde

asked May 17 at 23:30 zephyrus 121

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