Spectral methods in MatLab

A MATLAB differentiation matrix suite

ACM Transactions on Mathematical Software (TOMS)

Exponential time differencing for stiff systems

Journal of Computational Physics

Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation

Journal of Scientific Computing

Doubling the Degree of Precision Without Doubling the Grid When Solving a Differential Equation with a Pseudo-Spectral Collocation Method

Journal of Scientific Computing

A note on stability of pseudospectral methods for wave propagation

Journal of Computational and Applied Mathematics

The spectral signal processing suite

ACM Transactions on Mathematical Software (TOMS)

Chebyshev super spectral viscosity method for a fluidized bed model

Journal of Computational Physics

A framework for the numerical treatment of aerosol dynamics

Applied Numerical Mathematics

Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation

Applied Mathematics and Computation

Spectral Versus Pseudospectral Solutions of the Wave Equation by Waveform Relaxation Methods

Journal of Scientific Computing

Towards the resolution of the Gibbs phenomena

Journal of Computational and Applied Mathematics

Noise Analysis for Optical Fiber Communication Systems

Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design

Spectral collocation schemes on the unit disc

Journal of Computational Physics

Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

Journal of Computational Physics

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms

Journal of Computational Physics

Collocation methods for the solution of von-Kármán dynamic non-linear plate systems

Journal of Computational Physics

Non-Monte Carlo formulations and computational techniques for the stochastic non-linear Schrödinger equation

Journal of Computational Physics

The Fast Fourier Transform for Experimentalists, Part I: Concepts

Computing in Science and Engineering

Generalized integrating factor methods for stiff PDEs

Journal of Computational Physics

Rooted tree analysis of Runge-Kutta methods with exact treatment of linear terms

Journal of Computational and Applied Mathematics

Optimized point shifts and poles in the linear rational pseudospectral method for boundary value problems

Journal of Computational Physics

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

A windowed Fourier pseudospectral method for hyperbolic conservation laws

Journal of Computational Physics

A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences

Journal of Computational Physics

Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations

Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ

Computing real roots of a polynomial in Chebyshev series form through subdivision

Applied Numerical Mathematics

An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell

Journal of Computational Physics

A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems

Journal of Computational and Applied Mathematics

Eigenfrequencies of fractal drums

Journal of Computational and Applied Mathematics

Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition

Applied Numerical Mathematics

Dynamics in spectral solutions of Burgers equation

Journal of Computational and Applied Mathematics

On a solenoidal Fourier--Chebyshev spectral method for stability analysis of the Hagen--Poiseuille flow

Applied Numerical Mathematics

Fourier transform on sparse grids: Code design and the time dependent Schrödinger equation

Computing

Efficient Solution of A, x(k) = b(k) Using A-1

Journal of Scientific Computing

Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries

Computers & Mathematics with Applications

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

Computers & Mathematics with Applications

Spectral method for matching exterior and interior elliptic problems

Journal of Computational Physics

Geometric applications of the Bezout matrix in the Lagrange basis

Proceedings of the 2007 international workshop on Symbolic-numeric computation

Block LU factors of generalized companion matrix pencils

Theoretical Computer Science

An analytic series method for Laplacian problems with mixed boundary conditions

Journal of Computational and Applied Mathematics

Adjoint-based optimization of PDEs in moving domains

Journal of Computational Physics

A mixed collocation-finite difference method for 3D microscopic heat transport problems

Journal of Computational and Applied Mathematics

Lie group integrators with non-autonomous frozen vector fields

International Journal of Computational Science and Engineering

Algorithm 882: Near-Best Fixed Pole Rational Interpolation with Applications in Spectral Methods

ACM Transactions on Mathematical Software (TOMS)

Iteration methods for stability spectra of solitary waves

Journal of Computational Physics

Exponential time integration and Chebychev discretisation schemes for fast pricing of options

Applied Numerical Mathematics

Algorithm 888: Spherical Harmonic Transform Algorithms

ACM Transactions on Mathematical Software (TOMS)

Spectral Collocation Technique for Absorbing Boundary Conditions with Increasingly High Order Approximation

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007

The Chebyshev-Legendre collocation method for a class of optimal control problems

International Journal of Computer Mathematics

Exponential operator splitting time integration for spectral methods

Journal of Computational and Applied Mathematics

Smoothing schemes for reaction-diffusion systems with nonsmooth data

Journal of Computational and Applied Mathematics

Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control

Computational Optimization and Applications

Constraint Schur complement preconditioners for nonsymmetric saddle point problems

Applied Numerical Mathematics

Adaptive pseudospectral solution of a diffuse interface model

Journal of Computational and Applied Mathematics

A compact model for the I-V characteristics of an undoped double-gate MOSFET

Mathematics and Computers in Simulation

Comparison of methods for evaluating functions of a matrix exponential

Applied Numerical Mathematics

A numerical simulation for the blow-up of semi-linear diffusion equations

International Journal of Computer Mathematics

On the use of pseudo-spectral method in model reduction and simulation of active dendrites

Computers in Biology and Medicine

Spectral methods in linear stability. Applications to thermal convection with variable gravity field

Applied Numerical Mathematics

A Note on the Spectral Collocation Approximation of Some Differential Equations with Singular Source Terms

Journal of Scientific Computing

A Hybrid Fourier---Chebyshev Method for Partial Differential Equations

Journal of Scientific Computing

Numerical solution of calcium-mediated dendritic branch model

Journal of Computational and Applied Mathematics

Error analysis and applications of the Fourier-Galerkin Runge-Kutta schemes for high-order stiff PDEs

Journal of Computational and Applied Mathematics

A direct matrix method for computing analytical Jacobians of discretized nonlinear integro-differential equations

Journal of Computational Physics

Analysis of flow on a moving flat plate in slip regime by Pseudo-Spectral method

ECC'08 Proceedings of the 2nd conference on European computing conference

Adaptive rational spectral methods for the linear stability analysis of nonlinear fourth-order problems

Journal of Computational Physics

A numerical method for simulating the dynamics of 3D axisymmetric vesicles suspended in viscous flows

Journal of Computational Physics

High accuracy representation of the free propagator

Applied Numerical Mathematics

Properties of Higher Order Nonlinear Diffusion Filtering

Journal of Mathematical Imaging and Vision

Edge Detection Free Postprocessing for Pseudospectral Approximations

Journal of Scientific Computing

Dynamics and synchronization of numerical solutions of the Burgers equation

Journal of Computational and Applied Mathematics

A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods

Mathematics and Computers in Simulation

Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature

Journal of Approximation Theory

Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations

Applied Numerical Mathematics

Algorithm 899: The Matlab postprocessing toolkit

ACM Transactions on Mathematical Software (TOMS)

DFT-commuting matrix with arbitrary or infinite order second derivative approximation

IEEE Transactions on Signal Processing

On the uniform convergence of the Chebyshev interpolants for solitons

Mathematics and Computers in Simulation

Eigenvalue stability of radial basis function discretizations for time-dependent problems

Computers & Mathematics with Applications

Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method

Journal of Computational Physics

A Collocation Method with Exact Imposition of Mixed Boundary Conditions

Journal of Scientific Computing

Rooted tree analysis of Runge-Kutta methods with exact treatment of linear terms

Journal of Computational and Applied Mathematics

A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines

Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller

Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method

ACM Transactions on Mathematical Software (TOMS)

Heart surface motion estimation framework for robotic surgery employing meshless methods

IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems

Spectral differentiation operators and hydrodynamic models for stability of swirling fluid systems

MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics

A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems

Journal of Computational and Applied Mathematics

An improved Levin quadrature method for highly oscillatory integrals

Applied Numerical Mathematics

Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations

Journal of Computational Physics

Spectral method and high-order finite differences for the nonlinear cable equation

Neural Computation

On a prey-predator reaction-diffusion system with Holling type III functional response

Journal of Computational and Applied Mathematics

Descriptor techniques for modeling of swirling fluid structures and stability analysis

WSEAS Transactions on Mathematics

Spectral techniques for solving PDE stability model of vortex rope

WSEAS Transactions on Mathematics

A GPU approach to the simulation of spatio-temporal dynamics in ultrasonic resonators

PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I

A new algorithm for solving singular IVPs of Lane-Emden type

ASM'10 Proceedings of the 4th international conference on Applied mathematics, simulation, modelling

Numerical approximation of a convolution model of ·θ-neuron networks

Applied Numerical Mathematics

A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation

Journal of Computational and Applied Mathematics

Characterization and Computation of $\mathcal{H}_{\infty}$ Norms for Time-Delay Systems

SIAM Journal on Matrix Analysis and Applications

Polynomial algebra for Birkhoff interpolants

Numerical Algorithms

Barycentric rational interpolation with asymptotically monitored poles

Numerical Algorithms

Application of Taylor series in obtaining the orthogonal operational matrix

Computers & Mathematics with Applications

Non axysimmetrical stability study of swirling flows using a projection algorithm

ICCOMP'10 Proceedings of the 14th WSEAS international conference on Computers: part of the 14th WSEAS CSCC multiconference - Volume I

A fast algorithm for simulating vesicle flows in three dimensions

Journal of Computational Physics

A numerical methodology for the Painlevé equations

Journal of Computational Physics

A new modification of the HPM for the duffing equation with cubic nonlinearity

ICACM'11 Proceedings of the 2011 international conference on Applied & computational mathematics

Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials

Computers & Mathematics with Applications

Efficient simulation of spatio-temporal dynamics in ultrasonic resonators

IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part I

Computation of Minimum Energy Paths for Quasi-Linear Problems

Journal of Scientific Computing

A Multilevel Jacobi-Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics

SIAM Journal on Scientific Computing

A Krylov Method for the Delay Eigenvalue Problem

SIAM Journal on Scientific Computing

Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation

SIAM Journal on Scientific Computing

Stable and Spectrally Accurate Schemes for the Navier-Stokes Equations

SIAM Journal on Scientific Computing

A Sinc Function Analogue of Chebfun

SIAM Journal on Scientific Computing

Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices

Journal of Computational Physics

2.5-D frequency-domain seismic wave modeling in heterogeneous, anisotropic media using a Gaussian quadrature grid technique

Computers & Geosciences

A rapid solution of a kind of 1D Fredholm oscillatory integral equation

Journal of Computational and Applied Mathematics

Original article: Lanczos-Chebyshev pseudospectral methods for wave-propagation problems

Mathematics and Computers in Simulation

A linearisation method for non-linear singular boundary value problems

Computers & Mathematics with Applications

An asymptotic model of a nonlinear adaptive elastic plate

Mathematical and Computer Modelling: An International Journal

Issues in the real-time computation of optimal control

Mathematical and Computer Modelling: An International Journal

A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system

Mathematical and Computer Modelling: An International Journal

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator

Journal of Computational Physics

Using weighted norms to find nearest polynomials satisfying linear constraints

Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation

An improved spectral homotopy analysis method for MHD flow in a semi-porous channel

Numerical Algorithms

A Butterfly Algorithm for Synthetic Aperture Radar Imaging

SIAM Journal on Imaging Sciences

Krylov-Based Model Order Reduction of Time-delay Systems

SIAM Journal on Matrix Analysis and Applications

Numerical convergence of a one step approximation of an integro-differential equation

Applied Numerical Mathematics

Multivariate polynomial interpolation and meshfree differentiation via undetermined coefficients

Journal of Computational and Applied Mathematics

Swarm interpolation using an approximate chebyshev distribution

ANTS'12 Proceedings of the 8th international conference on Swarm Intelligence

Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods

Journal of Computational and Applied Mathematics

A pseudospectral matrix method for time-dependent tensor fields on a spherical shell

Journal of Computational Physics

Discrete conservation laws and the convergence of long time simulations of the mkdv equation

Journal of Computational Physics

Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method

Journal of Computational and Applied Mathematics

A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method

Journal of Computational Physics

Second kind integral equation formulation for the modified biharmonic equation and its applications

Journal of Computational Physics

Computation of frequency responses for linear time-invariant PDEs on a compact interval

Journal of Computational Physics

Geometric numerical schemes for the KdV equation

Computational Mathematics and Mathematical Physics

Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs

Numerical Algorithms

Variance reduction method based on sensitivity derivatives, Part 2

Applied Numerical Mathematics

On the optimization of Gegenbauer operational matrix of integration

Advances in Computational Mathematics

High accuracy solutions to energy gradient flows from material science models

Journal of Computational Physics

An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows

Journal of Computational Physics

The chain collocation method: A spectrally accurate calculus of forms

Journal of Computational Physics

High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane

Advances in Computational Mathematics

Discrete geometric approach for modelling quantization effects in nanoscale electron devices

Journal of Computational Electronics