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	Applied Mathematics > Numerical Methods
	SUBSECTIONS

		Approximation Theory (18)




	ITEMS

	88 items are in this category. Listing all items:

	Accuracy estimates for computer algebra system initial-value 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 Semi-Numerical Solution of Finite Element Problems Approximate solutions of boundary-value problems using computer algebra software An asymptotic Filon-type method for infinite range highly oscillatory integrals with exponential kernel Boundary Modulation with Mathematica Calculation of Weights in Finite Difference Formulas Closed-Form 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 Schr�dinger Equation Revisited Crack Edge Element of Three-Dimensional 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 Particle-Size Distributions by Rational Functions. Eigenvalues to arbitrary precision for one-dimensional Schrödinger equations by the shooting method using integer arithmetic Electron-Wave-Function Calculation in the Continuous Part of the Spectrum: The Case of Slowly Varying Potential Asymptotics Electronic Wave Propagation With Mathematica Exact distribution of the product and the quotient of two stable L�vy random variables Explicit Analytical Solution of the Nonlinear Vlasov-Poisson System A Family of Approximation Formulas and Some Applications Finding Closed-Form 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 Boundary-Value Problem Solver Using Symbolic Computation The Gauss-Laguerre Quadrature Rule for Finite-Part Integrals Geodesics on Convex Surfaces for a GTD/UTD Program Graphic and Numerical Comparison Between Iterative Methods A Half-Explicit Runge-Kutta Method of Order 5 for Solving Constrained Mechanical Systems Half-Explicit Runge-Kutta Methods for Differential-Algebraic 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 initial-boundary value problems Mathematica in Action, I: Monotonic Interpolation, Revisited Mathematica in Action: Check Your Answers... But How? A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schr�dinger 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: PC-Based Computation A Method for Solving Inverse Boundary-Value Problems Using Symbolic Computation M�todos 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 Newton-Raphson Method, Scaling at Fractal Boundaries and Mathematica Numerical Approaches for Linear Left-invariant Diffusions on SE(2), their Comparison to Exact Solutions, and their Applications in Retinal Imaging 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 non-normal 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: B�zier Curves Quasi-Monte Carlo Methods in Option Pricing Reliability Analysis with Interval Arithmetic Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations Shohat-Favard and Chebyshev's methods in d-orthogonality 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 User-Defined Weight Function Symbolic Derivation of Finite Difference Approximations for the Three-Dimensional Poisson Equation Symbolic Derivation of Runge-Kutta 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 Two-degree-of-freedom Systems by Means of the Modified Lindstedt-Poincar� 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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