SLERP-TVDRK (STVDRK) methods for ordinary differential equations on spheres

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

Unnamed Item
Unnamed Item
A level set based Eulerian method for paraxial multivalued traveltimes
An introduction to Lie group integrators - basics, new developments and applications
Quaternionic-valued ordinary differential equations. The Riccati equation
Quaternionic quantum field theory
Molecular dynamics simulation using quaternions
Efficient implementation of essentially nonoscillatory shock-capturing schemes
The Cayley transform in the numerical solution of unitary differential systems
A family of embedded Runge-Kutta formulae
High order Runge-Kutta methods on manifolds
Numerical integration of ordinary differential equations on manifolds
Symmetric projection methods for differential equations on manifolds
Geometric integration on spheres and some interesting applications
Stiff differential equations solved by Radau methods
Heterogeneous multiscale methods for the Landau-Lifshitz equation
An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid
Methods for suspensions of passive and active filaments
Second-order semi-implicit projection methods for micromagnetics simulations
An algorithm for computing Fréchet means on the sphere
A level set method for three-dimensional paraxial geometrical optics with multiple point sources
A fast sweeping method for eikonal equations on implicit surfaces
Numerical Methods for the Landau--Lifshitz Equation
Strong Stability-Preserving High-Order Time Discretization Methods
On the Convergence of Gradient Descent for Finding the Riemannian Center of Mass
A minimal-variable symplectic integrator on spheres
Solving Ordinary Differential Equations I
A Curvilinear Search Method for p-Harmonic Flows on Spheres
Quaternions and particle dynamics in the Euler fluid equations
On the Preservation of Invariants by Explicit Runge--Kutta Methods
Noise Removal Using Smoothed Normals and Surface Fitting
Total-Variation-Diminishing Time Discretizations
Problems with defining barycentric coordinates for the sphere
Relaxation Methods for Liquid Crystal Problems
Total variation diminishing Runge-Kutta schemes
A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
Color image enhancement via chromaticity diffusion
Numerical Methods forp-Harmonic Flows and Applications to Image Processing
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
Interpolation in special orthogonal groups
Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
Geometric Numerical Integration
A Local Level Set Method for Paraxial Geometrical Optics
Propagation of Surface Waves at High Frequencies
On the exponential solution of differential equations for a linear operator
Runge-Kutta methods for orthogonal and isospectral flows

This page was built for publication: SLERP-TVDRK (STVDRK) methods for ordinary differential equations on spheres