User ConvexHull

5 votes

Why is RK45 used as the "default" method for non-stiff ODEs rather than a multistep one?

answered Dec 10, 2021 at 20:07

4 votes

Errors imposing boundary conditions weakly with DG

answered Jan 5, 2023 at 21:10

4 votes

Accepted

Numerical scheme for the level set equation that solves inverse mean curvature flow problems

answered Mar 28, 2023 at 19:35

4 votes

Accepted

Pros of Fourier-Galerkin spectral methods

answered Jul 22, 2020 at 21:33

4 votes

Problems with manufactured solutions for 1D inviscid burgers' equation

answered Aug 19, 2020 at 15:52

4 votes

Advantage of diagonal "jitter" for numerical stability?

answered Nov 22, 2020 at 9:32

4 votes

Accepted

Runge Kutta Procedures for Incompressible Navier Stokes

answered Apr 30, 2023 at 10:00

4 votes

Accepted

How can we calculate mixed derivatives numerically using the Chebyshev derivative matrix?

answered Oct 28, 2023 at 23:38

3 votes

Accepted

Where am I making a mistake in solving the heat equation using the spectral method (Chebyshev's differentiation matrix)?

answered Dec 4, 2023 at 21:58

3 votes

Accepted

Partial derivatives for triangular meshes (in 3D)

answered Apr 25, 2023 at 9:01

3 votes

Accepted

Calculate stable time step DG method for advection-diffusion

answered Jul 10, 2020 at 23:55

3 votes

Non-conservative advective term in a finite volume scheme

answered Feb 26, 2023 at 8:15

3 votes

Chebyshev/Lagrange polynomials in spectral methods

answered Mar 8, 2023 at 14:37

3 votes

Accepted

Simplest way to "upgrade" from Euler equations to Navier-Stokes equations in FV or FD framework

answered Oct 5, 2020 at 0:14

3 votes

Accepted

Discretizing the viscous component in 1 - D Navier stokes compressive flow

answered Sep 23, 2021 at 17:57

2 votes

Fix for FD WENO method for multi-component compressible flows

answered Dec 13, 2020 at 22:17

2 votes

Computing convolution on non-uniform sample

answered Nov 9, 2022 at 0:09

2 votes

Creating a preconditioner for conjugate gradient with a known approximate solution

answered Apr 20, 2023 at 12:23

2 votes

computing higher order derivatives with linear elements

answered Dec 30, 2022 at 20:29

2 votes

Numerical solution of high-dimensional integral involving positive-part function

answered Jul 18, 2020 at 14:36

2 votes

What are the best ways to interpolate a vector field inside (convex) polygons?

answered Jul 31, 2020 at 21:49

2 votes

Flux sign and face normal confusion in finite volume method

answered Aug 5, 2020 at 10:48

2 votes

Developing a meshfree contouring algorithm

answered Nov 29, 2020 at 1:05

2 votes

Accurate Polynomial Evaluation in Floating Point

answered Sep 1, 2020 at 22:13

2 votes

Accepted

discretizing surface integral using nodal DG method

answered Jun 6, 2021 at 0:56

2 votes

Accepted

What is the correct way to implement Neumann type boundary conditions for solving a PDE using Chebyshev's collocation method?

answered Dec 21, 2023 at 12:15

2 votes

Numerical artefacts in solution of spherical heat equation using FDM

answered May 31, 2023 at 13:00

1 vote

Approximation of derivatives in the finite volume method

answered Nov 9, 2023 at 19:44

1 vote

Accepted

Adding a diffusion term to the MUSCL - Kurganov and Tadmor central scheme

answered Nov 15, 2023 at 7:35

1 vote

How to approximate the flux when using finite volumes?

answered Dec 14, 2023 at 18:59

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47 Answers

Why is RK45 used as the "default" method for non-stiff ODEs rather than a multistep one?

Errors imposing boundary conditions weakly with DG

Numerical scheme for the level set equation that solves inverse mean curvature flow problems

Pros of Fourier-Galerkin spectral methods

Problems with manufactured solutions for 1D inviscid burgers' equation

Advantage of diagonal "jitter" for numerical stability?

Runge Kutta Procedures for Incompressible Navier Stokes

How can we calculate mixed derivatives numerically using the Chebyshev derivative matrix?

Where am I making a mistake in solving the heat equation using the spectral method (Chebyshev's differentiation matrix)?

Partial derivatives for triangular meshes (in 3D)

Calculate stable time step DG method for advection-diffusion

Non-conservative advective term in a finite volume scheme

Chebyshev/Lagrange polynomials in spectral methods

Simplest way to "upgrade" from Euler equations to Navier-Stokes equations in FV or FD framework

Discretizing the viscous component in 1 - D Navier stokes compressive flow

Fix for FD WENO method for multi-component compressible flows

Computing convolution on non-uniform sample

Creating a preconditioner for conjugate gradient with a known approximate solution

computing higher order derivatives with linear elements

Numerical solution of high-dimensional integral involving positive-part function

What are the best ways to interpolate a vector field inside (convex) polygons?

Flux sign and face normal confusion in finite volume method

Developing a meshfree contouring algorithm

Accurate Polynomial Evaluation in Floating Point

discretizing surface integral using nodal DG method

What is the correct way to implement Neumann type boundary conditions for solving a PDE using Chebyshev's collocation method?

Numerical artefacts in solution of spherical heat equation using FDM

Approximation of derivatives in the finite volume method

Adding a diffusion term to the MUSCL - Kurganov and Tadmor central scheme

How to approximate the flux when using finite volumes?