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A coupled finite‐volume/pseudospectral method
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999AbstractSpectral methods (SM) are accurate up to an arbitrary order provided the solution is smooth and the computational domain is simple. On the other hand, when the problem geometry has a complex shape, finite‐volume methods (FVM) have the advantage of being more flexible in fitting the domain boundaries by arbitrarily complex grids. The paper deals
Droll, P. +3 more
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Costate Computation by a Chebyshev Pseudospectral Method
Journal of Guidance, Control, and Dynamics, 2010AMONG the various pseudospectral (PS) methods for optimal control [1], only the Legendre PS method has been mathematically proven to guarantee the feasibility, consistency, and convergence of the approximations [2–5]. As exemplified by its experimental andflight applications in national programs [6–10], it is not surprising that the Legendre PS method ...
Gong, Qi +2 more
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A Legendre Pseudospectral Viscosity Method
Journal of Computational Physics, 1996The author considers the scalar conservation law: \[ \partial_t u+\partial_xf(u)=0, \qquad u(x,0)=u_0(x), \] here \(t>0\), \(x\) lies in an open interval and the flux \(f\) is a regular function. It is known that even for smooth \(u_0\) the solution can develop discontinuities, so the problem possesses in general only weak solutions.
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Pseudospectral method for Fisher equation in a disk
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tianjun Wang +2 more
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Generalized pseudospectral method: Theory and applications
Journal of Computational Science, 2019Abstract In this study, we provide a new method, namely the Generalized Pseudospectral Method (GPM), for solving the linear and nonlinear ordinary/partial differential equations. Initially, we introduce a new class of functions, namely the Generalized Lagrange Functions (GLFs), so that they satisfy in the property of the Kronecker delta at the ...
Mehdi Delkhosh, Kourosh Parand
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The Linear Rational Pseudospectral Method with Preassigned Poles
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard Baltensperger +2 more
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A Pseudospectral Method for Fractional Optimal Control Problems
Journal of Optimization Theory and Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nastaran Ejlali +1 more
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Pseudospectral method of solution of the Fitzhugh–Nagumo equation
Mathematics and Computers in Simulation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Olmos-Liceaga, Bernie D. Shizgal
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Global properties of pseudospectral methods
Journal of Computational Physics, 1989The accuracy of a special pseudospectral algorithm both for approximating functions and numerical solutions of hyperbolic and elliptic differential equations is considered. The derivative matrix for a general sequence of collocation points is explicitly constructed and the authors explore the effect of several factors on the performance of these ...
Solomonoff, A., Turkel, E.
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On the pseudospectral method and spectral accuracy
Geophysics, 2021ABSTRACT There are numerical accuracy problems related to the implementation of sharp internal interfaces in pseudospectral and finite-difference schemes. It is common practice to classify numerical errors due to the implementation of interfaces as being to some order in a Taylor expansion. An alternative approach is to classify these
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