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2009, ISBN 9780470510469, xiii, 441
Digital sound synthesis has long been approached using standard digital filtering techniques. Newer synthesis strategies, however, make use of physical... 
Musical instruments | Mathematical models | Computer simulation | Finite differences | Programming | COMPUTERS | Algorithms
Book
IMA Journal of Numerical Analysis, ISSN 0272-4979, 07/2018, Volume 38, Issue 3, pp. 1254 - 1293
Journal Article
2001, 1, Monographs and textbooks in pure and applied mathematics, ISBN 9780824704681, Volume 240., xvii, 761
The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of... 
Difference equations
Book
Journal of Computational Physics, ISSN 0021-9991, 01/2015, Volume 280, pp. 424 - 438
In this paper we construct a new difference analog of the Caputo fractional derivative (called the formula). The basic properties of this difference operator... 
Fractional diffusion equation | Stability | Finite difference method | Convergence | VARIABLE-ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BOUNDARY-VALUE-PROBLEMS | SUBDIFFUSION EQUATION | PHYSICS, MATHEMATICAL | Operators | Approximation | Mathematical analysis | Mathematical models | Derivatives | Diffusion
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2013, Volume 242, pp. 670 - 681
In this paper, the Crank–Nicolson (CN) difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative is studied.... 
Fractional Schrödinger equation | Crank–Nicolson scheme | Fractional centered difference | Crank-Nicolson scheme | NUMERICAL-METHODS | SYSTEM | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Fractional Schrodinger equation | CONVERGENCE | DIFFUSION EQUATION | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2019, Volume 362, pp. 574 - 595
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2014, Volume 256, pp. 728 - 747
A finite difference scheme is presented for the Dirac equation in D. It can handle space- and time-dependent mass and potential terms and utilizes exact... 
Finite difference | Fermion doubling | Leap-frog | Dirac equation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ELECTRONS | SCHRODINGER-EQUATION | DYNAMICS | Leap frog | SYSTEMS | MODEL | PHYSICS, MATHEMATICAL | Mathematical analysis | Norms | Boundary conditions | Reflection | Dispersions | Boundaries | Finite difference method | Fermions | Preserves
Journal Article
by Zhao, X and Sun, ZZ and Hao, ZP
SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2014, Volume 36, Issue 6, pp. A2865 - A2886
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2013, Volume 250, pp. 229 - 243
The complete flux scheme (CFS) [J. ten Thije Boonkkamp, M. Anthonissen, The finite volume-complete flux scheme for advection–diffusion–reaction equations, J.... 
Exponential difference scheme | Error analysis | Complete flux scheme | Plasma model | MATHEMATICS, APPLIED | GLOW-DISCHARGES | SINGULAR PERTURBATION PROBLEM | MODEL
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