dorsal/arxiv
View SchemaOn the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes
| Authors | Julius O. Smith III |
|---|---|
| Categories | |
| ArXiv ID | physics/0407032 |
| URL | https://arxiv.org/abs/physics/0407032 |
| DOI | 10.1121/1.4785237 |
Abstract
It is known that the digital waveguide (DW) method for solving the wave equation numerically on a grid can be manipulated into the form of the standard finite-difference time-domain (FDTD) method (also known as the ``leapfrog'' recursion). This paper derives a simple rule for going in the other direction, that is, converting the state variables of the FDTD recursion to corresponding wave variables in a DW simulation. Since boundary conditions and initial values are more intuitively transparent in the DW formulation, the simple means of converting back and forth can be useful in initializing and constructing boundaries for FDTD simulations.
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"abstract": "It is known that the digital waveguide (DW) method for solving the wave\nequation numerically on a grid can be manipulated into the form of the standard\nfinite-difference time-domain (FDTD) method (also known as the ``leapfrog\u0027\u0027\nrecursion). This paper derives a simple rule for going in the other direction,\nthat is, converting the state variables of the FDTD recursion to corresponding\nwave variables in a DW simulation. Since boundary conditions and initial values\nare more intuitively transparent in the DW formulation, the simple means of\nconverting back and forth can be useful in initializing and constructing\nboundaries for FDTD simulations.",
"arxiv_id": "physics/0407032",
"authors": [
"Julius O. Smith III"
],
"categories": [
"physics.comp-ph"
],
"doi": "10.1121/1.4785237",
"title": "On the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes",
"url": "https://arxiv.org/abs/physics/0407032"
},
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