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Stephen Wolfram
Applied Mathematics
>
Numerical Methods
SUBSECTIONS
Approximation Theory
(18)
ITEMS
86
items are in this category. Listing
all
items:
Accuracy estimates for computer algebra system initialvalue problem (IVP) solvers
Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations
Analysis of Periodic Oscillations with Computer Algebra
Application of Computer Algebra Systems for Stability Analysis of Difference Schemes on Curvilinear Grids
Application of
Mathematica
to the Direct SemiNumerical Solution of Finite Element Problems
Approximate solutions of boundaryvalue problems using computer algebra software
An asymptotic Filontype method for infinite range highly oscillatory integrals with exponential kernel
Boundary Modulation with
Mathematica
Calculation of Weights in Finite Difference Formulas
ClosedForm Expressions for the Finite Difference Approximations for First and Higher Derivatives Based on Taylor Series
A compendium of FEM integration formulas for symbolic work
Computing generalized inverse of polynomial matrices by interpolation
Computing the Coefficients of a Recurrence Formula for Numerical Integration by Moments and Modified Moments
CP Methods for the Schrödinger Equation Revisited
Crack Edge Element of ThreeDimensional Displacement Discontinuity Method with Boundary Division into Triangular Leaf Elements
Curve fitting using spline sections of different orders
Determining Sample Sizes for Monte Carlo Integration
Discrete Approximation of Linear Functions
Efficient Method for the Calculation of Mean Extinction. III. Approximation or Representation of ParticleSize Distributions by Rational Functions.
Eigenvalues to arbitrary precision for onedimensional Schrödinger equations by the shooting method using integer arithmetic
ElectronWaveFunction Calculation in the Continuous Part of the Spectrum: The Case of Slowly Varying Potential Asymptotics
Electronic Wave Propagation With
Mathematica
Explicit Analytical Solution of the Nonlinear VlasovPoisson System
A Family of Approximation Formulas and Some Applications
Finding ClosedForm Solutions of Difference Equations by Symbolic Methods
Finite Difference Method by Using
Mathematica
Finite elements beyond Courant's triangulation
Fitting Using Finite Monte Carlo Samples
Forward and Inverse BoundaryValue Problem Solver Using Symbolic Computation
The GaussLaguerre Quadrature Rule for FinitePart Integrals
Geodesics on Convex Surfaces for a GTD/UTD Program
Graphic and Numerical Comparison Between Iterative Methods
A HalfExplicit RungeKutta Method of Order 5 for Solving Constrained Mechanical Systems
HalfExplicit RungeKutta Methods for DifferentialAlgebraic Systems of Index 2
Higher Order Normal Form and Period Averaging
Hybrid solvers for composition and splitting methods
If Lie Had Known About
Mathematica
Integrating Symbolic and Numeric Techniques in Atomic Physics
A least squares method for solving initialboundary value problems
Mathematica
in Action, I: Monotonic Interpolation, Revisited
Mathematica
in Action: Check Your Answers... But How?
A
Mathematica
program for the twostep twelfthorder method with multiderivative for the numerical solution of a onedimensional Schrödinger equation
The
Mathematica
Programmer: Interval Plotting and Global Optimization
The
Mathematica
Programmer: Interval Plotting and Global Optimization, Part 2
MathSource Reviews: Splines
Matrix Newton Interpolation and Progressive 3D Imaging: PCBased Computation
A Method for Solving Inverse BoundaryValue Problems Using Symbolic Computation
Métodos Iterativos con
Mathematica
Monte Carlo Integration with
Mathematica
3.0
Multiparameter Direct Variational Solutions for Linear Dissipative Oscillators
New finite difference formulas for numerical differentiation
A New Numerical Procedure to Determine the VLE Curve
NewtonRaphson Method, Scaling at Fractal Boundaries and
Mathematica
Numerical Computation of Polynomial Zeros by Means of Aberth's Method
Numerous Neat Algorithms for the Voigt Profile Function
On numerical doubly periodic wave solutions of the coupled Drinfeld–Sokolov–Wilson equation by the decomposition method
On numerical soliton solution of the Kaup–Kupershmidt equation and convergence analysis of the decomposition method
On simulating multivariate nonnormal distributions from the generalized lambda distribution
Order Stars and Linear Stability Theory
A Practical Approach to Multivariate Interpolation
Precise Numerical Computation
Precise numerical computation
Programming Tips: Bézier Curves
QuasiMonte Carlo Methods in Option Pricing
Reliability Analysis with Interval Arithmetic
Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations
ShohatFavard and Chebyshev's methods in dorthogonality
The Shooting Method Revisited
Shooting the buckled plate
Solution of Nonlinear Problems in Applied Sciences by Generalized Collocation Methods and
Mathematica
Solving a Functional Equation
Solving Nonlinear Equations Using Interval Arithmetic
Solving the Equations  uxx  euyy = f(x,y,u) by an O(h^4) Finite Difference Method
Students and
Mathematica
: Using a Monte Carlo Method for Definite Integration
A Symbolic Computation Procedure for the Generation of Gauss Quadrature Rules with a UserDefined Weight Function
Symbolic Derivation of Finite Difference Approximations for the ThreeDimensional Poisson Equation
Symbolic Derivation of RungeKutta Methods
Symbolic vs. Numerical Computation
Tech Support: Visualization of 3D Data and Numerical Integration
Telescoping Fast Multipole Methods Using Chebyshev Economization
Towards a more complete interval arithmetic in
Mathematica
Tricks of the Trade
The Use of
Mathematica
for the Analysis of Strongly Nonlinear Twodegreeoffreedom Systems by Means of the Modified LindstedtPoincaré Method
Version 3.0: Numerical Integration and Optimization
Version 3.0: Partial Differential Equations
WBK Approximation for Continuum States with Predefined Asymptotics
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