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### 3-point implicit block method for solving ordinary differential equations.

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

### A- and B-Stability for Runge-Kutta Methods - Characterizations and Equivalence.

Numerische Mathematik

### A Basic Theorem in the Computation of Ellipsoidal Error Bounds.

Numerische Mathematik

### A C...-Collocation-like Method for Two-Point Boundary Value Problems.

Numerische Mathematik

### A Class of Simple Exponential B-Splines and Their Application to Numerical Solution to Singular Perturbation Problems.

Numerische Mathematik

### A Collocation Method for Boundary Value Problems.

Numerische Mathematik

### A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation.

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

### A computational investigation of an integro-differential inequality with periodic potential.

Journal of Inequalities and Applications [electronic only]

### A contribution to Runge-Kutta formulas of the 7th order with rational coefficients for systems of differential equations of the first order

Aplikace matematiky

The purpose of this article is to find the 7th order formulas with rational parameters. The formulas are of the 11th stage. If we compare the coefficients of the development ${\sum }_{i=1}^{\infty }\frac{{h}^{i}}{i!}\frac{{d}^{i-1}}{d{x}^{i-1}}𝐟\left[x,𝐲\left(x\right)\right]$ up to ${h}^{7}$ with the development given by successive insertion into the formula $h.{f}_{i}\left({k}_{0},{k}_{1},...,{k}_{i-1}\right)$ for $i=1,2,...,10$ and $k={\sum }_{i=0}^{10}{p}_{i},{k}_{i}$ we obtain a system of 59 condition equations with 65 unknowns (except, the 1st one, all equations are nonlinear). As the solution of this system we get the parameters of the 7th order Runge-Kutta formulas as rational numbers.

### A convergence result for discrete steepest descent in weighted Sobolev spaces.

Abstract and Applied Analysis

Kybernetika

### A Convergent Finite Elemet Formulation for Transonic Flow.

Numerische Mathematik

### A derivative array approach for linear second order differential-algebraic systems.

ELA. The Electronic Journal of Linear Algebra [electronic only]

### A difference method of solving the differential equation y' = h(t, y, y, y')

Annales Polonici Mathematici

### A family of multistep methods to integrate orbits on spheres.

Numerische Mathematik

### A Finite Element Merthod Scheme for one Dimensional Elliptic Equations with High Super Convergence at the Nodes.

Numerische Mathematik

### A Finite Element Method for a Singularly Perturbed Boundary Value Problem.

Numerische Mathematik

### A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative

Banach Center Publications

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