This package has a lot of programs for interpolation and fitting data. This one provides to you the possibility to make the tests in short time and with all explanations. This package has programs like spline and Lagrange interpolation. Fits data with hyperbolic and trigonometric fit.
Performs approximate integration, the area under the curve described by a set of points, polynomial regression with graphic, multiple linear regression, differential equations, and finite difference.
Calculates the approximate definate integral for a given function using one of the following five methods: Midpoint Rule, Left Endpoint Rule, Right Endpoint Rule, Trapezoidal Rule, or Simpson's Rule.
Provides the Bessel functions J,Y,I and K of integer order and for real arguments. Also handles the beta function, the incomplete beta function, associated Legendre polynomials, and spherical harmonics.
This library have a very useful program that allows you make the translations between spherical, cylindric and rectangular coordinates easily. Very useful in Electrical Engineering.
A program to numerically approximate differential equations. It was written for educational/illustration purposes and features 3 methods: Euler's Method, modified Euler's Method, and RK4 (4th-order Runge-Kutta). All steps are output to the stack.
Basic real number and matrix (multiplication , addition, solving, determinant) arbitrary floating point precision using hpgcc and decNumber library. Requires the 49g+ or 50g, ArmToolbox and Longfloat library. Faster than standard HP for 16 digits precision.
First release of a library containing a set of extra functions for the HP 49G+ only. 30 functions are included in this release, including additional trigonometric functions (COT, COTH, SEC, SECH, SINC etc.), number theory functions (Fibonacci and Lucas etc.) as well as much faster replacements of the built-in factorial and combinatorial functions. The library is mainly coded in C to maintain high performance and efficient memory management.
This program calculates the exact factorial of an integer. While the HP49G+ has this built in, this program runs roughly forty times faster. 1000! takes FFAC about .35 seconds to calculate. The built in routine takes 27.5 seconds. FFAC runs natively on the ARM CPU. This is the first such user-made program for the HP49G+. This program shows what the HP49G+ is capable of when running native code. For the 49G+ only!
Fast Fibonacci calculates exact terms from the Fibonacci series very quickly. The 9999th term takes about 2 seconds to calculate with just over 2 thousand digits. This is for the 49G+/48GII only as it was written in C and uses the ARM CPU.
Small program which allows you to do numerical integrations, with numbers lists and functions. It has been written in User RPL under the 1.18 rom. Great utility for engineers.
UserRPL library for making linear interpolation, both simple and
double. Allows INFORM interpolating, as well as STACK interpolating, this one quite quickly.
System RPL and machine language library with linear- tabular- and double interpolation, cubic splines, linear predicting, and second and third order least squares polynomial fitting. Accepts many combinations of input. Source code included. Also tested on 49G+ ROM 1.23.
Asks you to input equations (even fractions), as long as you enter the same number of equations as there are variables. Then it shows you the equations again, in order for you to check them out and see if you typed them right.
The program can then either put the results on the stack or send you to the matrix editor so you can fix the equations.
Multiple precision real and complex library including trig and hyperbolic functions. Interval arithmetic (precision tracking) for real functions. Algebraics with interval numbers or units may be automatically evaluated to user-defined precision. Now has basic matrix functions and 49G+ support.
Numerical Methods at Universidad Técnica Particular de Loja, Ecuador.
This is a very simple program of using. It contains Newton-Rapson's method, Euler, Runge-Katta and a method to calculate the deflection of a beam by a finite difference.
Yet another numeric methods program. Spanish-speaking people seem to like creating these. At least this one is relatively compact. Works for Biseccion, Punto Fijo, Newton Raphson, Newton Raphson de segundo orden, and secante. Written in User RPL.
This is a program for fluid mechanics; it contains three cases, you should input certain data and then it calculates the loss of pressure, the flow or the diameter. Written for use at the Universidad Técnica Particular de Loja, Ecuador.
Non-negative least squares solves least squares problems subject to all results being greater or equal to 0. Possible to use result limits different from 0. Programmed in hpgcc. For the 49g+ or 50g only. Also includes freestanding version not requiring armtoolbox.
A fast numerical library, containing real and complex numerical solvers, substitution and numerical evaluation tools and a fast numerical integration command. Documentation in HTML and Word 2000 formats.
The NWT program can solve equations systems linear and not linear using the Newton method for this is necessary to calculate the jacobian matrix which the program do in symbolic way
This program converts a numeric value in coordinated rectangular to coordinated polar (cylindrical) and vice versa. Also shows the formulas used in the calculation.
Allows you to choose to calculate any one side of a right triangle, or enter all of the side lengths of a triangle to find if it is right. In User RPL for easy editing and compatibility with the 49 and 48.
A UserRPL program to calculate the vertex, roots, discriminant, and completed square [or standard form] of a quadratic equation using given coefficients. Gives exact values (on HP49 only) if desired.
Asks you for an input (decimals or fractions) and calculates the center of a rectangle, switches from general to particular equation of a rectangle and vice versa, finds the slope of a rectangle, given 2 points, finds the distance between 2 points, finds the shorter distance between a rectangle and a point, finds the equation of a rectangle, given a point and the slope, and finds the equation between 2 points.
This is a set of some simple quadratic tools that solve quadratics for x and y, finds the roots and the discriminant, completes the square, finds the vertex, and finds a curve.
Tiny MSLV (multiple equation solver) for all RPL calculators. Program is 333.5 bytes on the 48GX. On the HP-28C it can find a simultaneous root of five nonlinear real-valued expressions. Uses successive approximation and the calculator's built-in matrix functions.
Multiple root polynomial solver, (approximate) polynomial GCD, polynomial division together with fast matrix solver, eigenvalues, least square solver and SVD decomposition. Programmed in hpgcc. Solves 50x50 matrix in less than 5 sec. Requires ARMToolBox and a 49G+ or 50G.
These libraries allow you to perform arithmetic with numbers to a precision defined by you. Just store a number (long integer or real) into a global or local variable DIGITS, and use any of the new commands to create and work with the variable precision numbers.
A collection of small programs that are useful for Calculus: Graph Integrals, Riemann Summs, Trapezoid Rule, Simpson's Rule, Simpson's 3/8 Rule, Monte Carlo Integration, Newton's Method, Method of Bisectors, calculate arclengths, error function.
This a library that contains four numeric methods. These methods are useful for finding roots of any expression. The methods are: Biseccion, Regula Falsi, Punto fijo and Newton Raphson. The result is given in the stack, and every step that the method did to find the root is presented in a matrix. This matrix is stored in the current directory whit the name: "Tabla". I hope this library help you.