Math and Numerical Method Simulators

Adaptive Filter Lms Simulator

Signal Processing

Explore LMS adaptive-filter convergence and misadjustment from step size, tap count, input power, noise level, and plant drift.

AM/FM Modulation Simulator

Signal Processing

AM/FM Modulation Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.

Autocorrelation Function Simulator — Period Detection

Signal Processing

Autocorrelation Function Simulator — Period Detection compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Bayes' Theorem Visualizer — Conditional Probability & Posterior Update

Bayes' Theorem Visualizer: Adjust priors and likelihoods to calculate posterior probability in real time.

Bayesian Calibration via MCMC (Metropolis–Hastings) Simulator

Monte Carlo & Uncertainty

Bayesian Calibration via MCMC (Metropolis–Hastings) Simulator: Calibrate a CAE model parameter the Bayesian way: feed in a prior, a likelihood and ob…

Bézier Curve Simulator

Bézier Curve Simulator focuses on control response, stability margin, and tuning assumptions, giving a compact read on the current case and the trend that matters next.

Bifurcation Diagram Simulator — Logistic Map and Chaos

Visualize the logistic map's period-doubling route to chaos. Explore bifurcation diagrams and the Feigenbaum constant with this interactive simulator.

Binomial Distribution Simulator

Binomial distribution B(n,p) simulator. Vary trials n and probability p to visualize PMF, CDF and Poisson/normal approximations in real time.

Bisection Method Simulator — Root Finding by Interval Bracketing

Find roots of f(x)=0 with the bisection method on f(x)=x^3-2x-5. Visualize midpoints, the shrinking bracket and log10 width decay. Tune interval, tolerance, max iter.

Bit Error Rate (BER) Simulator

Signal Processing

Bit Error Rate (BER) Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.

Bootstrap Confidence Interval Simulator

Monte Carlo & Uncertainty

Compute 95% bootstrap confidence intervals for the mean and median in real time. Resample with replacement and vary N and B to watch the distribution converge.

Break-Even Analysis Simulator — Fixed Costs, Variable Costs & Profit

Determine break-even point, profit margin, and margin of safety by adjusting fixed costs, variable cost per unit, and selling price. Interactive cost-volume-profit chart.

Brownian Motion & Random Walk Simulator

Monte Carlo & Uncertainty

Simulate Brownian motion and random walks in real time. Adjust particles, step size, and trails to verify Einstein's diffusion formula and explore parameters.

Buckingham Pi Theorem Simulator — Dimensional Analysis & Model Similitude

Buckingham Pi Theorem Simulator — Dimensional Analysis & Model Similitude focuses on vibration or acoustic response and frequency behavior, giving a compact read on the …

Buffon's Needle Simulator — Estimating Pi by Probability

Monte Carlo & Uncertainty

Buffon's Needle Simulator: estimate pi through probability and geometry.

Capacity Planning Little Law Simulator

Capacity Planning Little Law Simulator: Explore arrival rate, service time, WIP, and utilization with interactive queue modeling for engineers.

CFL Number Simulator — Stability of Explicit Time Integration

Real-time Courant number calculator for explicit time integration. Adjust advection speed u, time step dt, grid spacing dx and CFL_max to monitor 1D advection stability.

Chi-Squared Goodness-of-Fit Test Simulator — Pearson's Test

Chi-squared goodness-of-fit test simulator. Vary the four observed counts O_i to compute chi-squared statistic, df, 5% critical value, and the H_0 decision in real time.

Chirp-Z Transform / Zoom-DFT Simulator — High-Resolution Narrow-Band Analysis

Signal Processing

Chirp-Z Transform simulator for high-resolution narrow-band frequency analysis.

Cholesky Decomposition Simulator

Free Cholesky decomposition calculator: enter a symmetric 3×3 matrix and factor it as A=LLᵀ.

Complex Function & Conformal Mapping Visualizer

Visualize complex functions with domain coloring. Explore conformal mapping, Joukowski transforms, and the residue theorem interactively.

Complex Number Visualizer — Argand Plane, Polar Form & Operations

Complex Number Visualizer — Argand Plane, Polar Form & Operations focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the…

Complex Number & Phasor Calculator

Complex Number & Phasor Calculator focuses on physics-model assumptions and visualization, giving a compact read on the current case and the trend that matters next.

Compound Interest Simulator

Visualize compound asset growth in real time. Adjust principal, annual rate, contributions and inflation to compare with simple interest and apply the Rule of 72.

Compressive Sensing & L1 Reconstruction Simulator

Signal Processing

A hands-on simulator for compressive sensing: recover a "sparse" N-dimensional signal that has only K non-zero entries from far fewer than Nyquist

Matrix Condition Number Simulator

Matrix Condition Number Simulator compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Conic Sections Explorer — Ellipse, Parabola & Hyperbola Visualizer

Conic Sections Explorer — Ellipse, Parabola & Hyperbola Visualizer focuses on nearby design assumptions and key metrics, giving a compact read on the current case and th…

Conjugate Gradient Method Simulator — CG vs Steepest Descent

The conjugate gradient simulator iteratively solves Ax=b for a symmetric positive definite matrix and compares the residual history with steepest descent in real time.

Control Variates Simulator

Monte Carlo & Uncertainty

Control Variates Simulator compares how control response, stability margin, and tuning assumptions shifts as the main assumptions change.

Crank Nicolson Simulator

Crank Nicolson Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.

Derivative & Tangent Line Visualizer

Interactive derivative and tangent line visualization tool for understanding calculus concepts, slope computation, and function behavior analysis.

Design of Experiments (DOE) Simulator

Switch between full factorial, fractional factorial, Central Composite Design (CCD) and Plackett-Burman to compare required runs, statistical power a…

DFT Leakage Window Detail Simulator

Signal Processing

DFT Leakage Window Detail Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.

ODE Phase Plane Analysis Tool

Visualize ODE systems with phase planes, nullclines, and stability analysis. Explore predator-prey and pendulum models with real-time RK4 trajectories.

1D Diffusion Equation Solver

Solve the 1D diffusion equation using Crank-Nicolson method. Gaussian, step, and sine initial conditions with Dirichlet/Neumann/periodic BCs.

Digital Filter Designer (IIR/FIR)

Signal Processing

Design Butterworth, Chebyshev, and FIR filters. Visualize frequency response, coefficients, and test signals in real-time with this advanced digital filter designer tool.

Design of Experiments (DOE)

Optimize designs with factorial & Taguchi L9 DOE. Automatically calculate main effects, ANOVA, F-test, and SN ratios for robust engineering analysis.

Dynamic Time Warping (DTW) Simulator

Signal Processing

Dynamic Time Warping (DTW) Simulator: An interactive tool for Dynamic Time Warping, the classic algorithm that compares two time series whose speed o…

SIR Epidemic Model Simulator — Herd Immunity & Outbreak Dynamics

Interactive simulator to explore herd immunity and outbreak dynamics. Adjust parameters for COVID-19, flu, and measles to see how R₀ and vaccination stop epidemics.

Generalized Extreme Value (GEV) Distribution Simulator

Generalized Extreme Value (GEV) Distribution Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Eye Diagram Simulator

Signal Processing

Eye Diagram Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

FFT Spectrum Analyzer — Time-Domain Signal to Frequency Spectrum

Monte Carlo & Uncertainty

Analyze time-series signals with the Fast Fourier Transform. Tweak window functions, sampling frequency and signal components to feel aliasing and leakage.

FFT Spectrum Analyzer Simulator

Signal Processing

Simulate FFT spectrum analysis with up to 5 sine waves. Explore windowing, spectral leakage, THD, and DFT parameters like frequency resolution in real time.

1D Finite Volume Method Simulator — Steady Diffusion

1D Finite Volume Method Simulator — Steady Diffusion: Solve the 1D steady diffusion equation with the finite volume method (FVM).

FIR Filter Design Simulator — Window Method

Signal Processing

Design linear-phase FIR low-pass filters by the window method. Impulse, dB magnitude, transition width, stopband attenuation and group delay update live.

Fourier Epicycles Simulator — Draw Any Curve with Rotating Circles

Signal Processing

Draw a curve with your mouse and watch it decomposed by DFT into rotating circles (epicycles).

Fourier Series Visualizer — Rotating Phasors & Wave Synthesis

Signal Processing

Visualize Fourier series in real-time: synthesize square, sawtooth, and triangle waves from rotating phasors. See harmonics converge and Gibbs phenomenon.

Fourier Series Simulator — Waveform Synthesis & Harmonic Spectrum

Signal Processing

Explore Fourier series synthesis: simulate square, triangle, and sawtooth waves with 1-50 harmonics. Watch Gibbs phenomenon and harmonic spectrum evolve in real-time.

Fourier Transform Visualizer — FFT Spectrum Analyzer

Signal Processing

Explore Fourier transforms interactively. Adjust signals, windows and frequencies with sliders to visualize real-time waveform and spectrum changes.

Fractal Tree & Snowflake Generator — Self-Similarity & Fractal Dimension

Explore fractal geometry. Generate self-similar trees, Koch snowflakes, Sierpinski triangles, and Dragon curves by tuning parameters. Discover infinite patterns.

Conway's Game of Life — Cellular Automaton Simulator

Explore the universe of Conway's Game of Life. Draw cells, create patterns, and discover emergent complexity driven by three simple rules.

Game Theory Simulator — Nash Equilibrium, Prisoner's Dilemma & Evolutionary Games

Edit game theory matrices and simulate outcomes. Automatically find Nash equilibria and watch cooperation evolve in real-time.

Gauss Quadrature Simulator

Gauss Quadrature Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Gauss Quadrature Simulator — Convergence of Gauss-Legendre Integration

The Gauss quadrature simulator visualizes the sample points and weights of Gauss-Legendre integration and computes the numerical integration error an…

Gauss-Seidel Simulator — Iterative Solution of Linear Systems

Gauss-Seidel iteration simulator for Ax=b. Sweep SOR omega from 0.5 to 1.9 to visualize convergence trajectories and log10 residual decay in real time.

Gershgorin Circle Theorem Simulator

The Gershgorin circle theorem lets you bound where the eigenvalues of a matrix must be from its entries alone, without ever computing them.

Gibbs Sampling Simulator

Monte Carlo & Uncertainty

Gibbs Sampling Simulator compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Gini Coefficient Simulator — Income Inequality & Lorenz Curve

Interactively visualize the Gini coefficient and Lorenz curve. Adjust the shape of the income distribution and see changes in inequality in real time.

Goertzel Algorithm Simulator — DTMF Single Frequency Detection

Signal Processing

Detect DTMF tones with the Goertzel algorithm. A second-order IIR filter extracts 8 DFT bins in O(N), ideal for embedded single-tone detection without an FFT.

Hilbert Transform & Analytic Signal — Envelope Detection

Signal Processing

Hilbert Transform & Analytic Signal — Envelope Detection focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend th…

Huber Regression Robust Simulator

Explore the Huber M-estimator for robust regression.

Hypothesis Test Calculator (z-test & t-test)

Run interactive z-tests and t-tests. Get real-time p-values, see critical regions on a chart, and calculate effect size instantly.

Bilinear Transform Simulator — Analog to Digital IIR

Signal Processing

Bilinear Transform Simulator — Analog to Digital IIR: Convert an analog first-order lowpass filter H(s)=ωc/(s+ωc) into a digital IIR filter with the…

IIR Filter Designer — Butterworth Low-Pass Magnitude Response

Signal Processing

Design a Butterworth low-pass filter and visualize its gain |H(jω)| on a Bode plot. Change cutoff f_c, order N, stopband edge f_s and attenuation A_s to study roll-off.

Importance Sampling — Efficient Tail Probability Estimation

Monte Carlo & Uncertainty

Importance Sampling for tail probability estimation: reduce Monte Carlo variance by tuning proposal distributions.

Inflation & Purchasing Power Simulator — CPI, Real Value & Time Value

Inflation & Purchasing Power Simulator — CPI, Real Value & Time Value focuses on electromagnetic, circuit, and transmission conditions, giving a compact read on the curr…

Interpolation Methods Comparison

Compare Lagrange, Newton, cubic spline, PCHIP, and linear interpolation methods.

Inventory Management EOQ & Reorder Point Calculator

Calculate your optimal order quantity and reorder point with this free EOQ calculator. Visualize cost tradeoffs and inventory patterns.

Isotonic Regression Simulator

Isotonic Regression Simulator: An interactive tool for monotone nonparametric regression.

Jacobi Eigenvalue Method Simulator

Jacobi Eigenvalue Method Simulator: Find the eigenvalues of a symmetric 3×3 matrix with the Jacobi method — a sequence of plane rotations.

Jacobi Iteration Simulator — Linear Systems

Solve a 2x2 linear system A·x=b by the Jacobi iterative method.

Kaplan-Meier Survival Analysis Simulator

Kaplan-Meier Survival Analysis Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Lagrange Multiplier Optimization Simulator

Lagrange Multiplier Optimization Simulator compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Lambert Conformal Conic (LCC) Projection Simulator

Lambert Conformal Conic (LCC) Projection Simulator: Wrap a cone around the Earth so that it intersects along two standard parallels, then project geo…

Laplace Transform Calculator & Visualizer

Signal Processing

Master Laplace transforms with our interactive calculator. Visualize f(t) and F(s), compute partial fractions, and explore pole-zero maps in real time.

Latin Hypercube Sampling — LHS vs Plain Monte Carlo

Monte Carlo & Uncertainty

Latin Hypercube Sampling vs Monte Carlo: stratified design sampling technique for improved integration accuracy and uncertainty quantification in CAE.

Linear Algebra Matrix Transformation Visualizer

Visualize 2D matrix transformations in real time. Control a 2x2 matrix, animate rotations, scaling, shear, and see eigenvectors and eigenvalues.

Linear Programming

Learn to solve 2-variable linear programming problems visually. See the feasible region, optimal vertex, and objective lines in real-time with graphical method steps.

Linear Regression Simulator

Visualize least-squares linear regression interactively. Add data points and see how the regression line updates in real time.

Loan Amortization Calculator

Simulate monthly payments, total interest and balance for fixed-rate loans. Adjust principal, rate and term interactively.

Logistic Population Growth Model

Simulate population growth, stabilization and overshoot using the logistic equation. Adjust carrying capacity and growth rate.

Lorenz Attractor Simulator — Butterfly Effect & Chaos

Explore chaos theory with a real-time Lorenz Attractor simulator. Adjust parameters, launch trajectories, and witness the butterfly effect in 3D.

LU Decomposition Simulator — Direct Solver for Ax=b

The LU decomposition simulator factors a 3x3 matrix into L and U and solves Ax=b with forward and back substitution in real time, with partial pivoting.

Mandelbrot Set Explorer

Explore the infinite Mandelbrot set fractal in real time. Zoom, pan, and switch to Julia mode to discover its self-similar geometry.

Markov Chain Simulator — Two-State Stationary Distribution and Mixing Time

Two-state Markov chain simulator. Vary p, q to see the stationary distribution π=(q/(p+q), p/(p+q)), the t-step probability P_1(t), and 99% mixing time t_mix.

Matched Filter Simulator — Pulse Detection in Noise

Signal Processing

Matched filter simulator: detect a known pulse in white noise via convolution. Compute input/output SNR and processing gain in real time, visualize gain = L.

Matrix Operations & Eigenvalue Calculator

Compute matrix operations instantly: addition, multiplication, determinant, inverse, eigenvalues, eigenvectors, and solve linear systems. .

Matrix Transformation Visualizer — Geometric Meaning of Linear Algebra

Visualize 2x2 matrix transformations with animation. See the grid, basis vectors, and shapes change while computing determinant and eigenvalues.

MCMC Metropolis-Hastings Sampler — Acceptance & Autocorrelation

Monte Carlo & Uncertainty

MCMC Metropolis-Hastings Sampler — Acceptance & Autocorrelation compares how nearby design assumptions and key metrics shifts as the main assumptions change.

MFCC Feature Simulator — Mel-Frequency Cepstral Coefficients

Signal Processing

MFCC Feature Simulator — Mel-Frequency Cepstral Coefficients focuses on vibration or acoustic response and frequency behavior, giving a compact read on the current case …

Monte Carlo Pi Estimator

Monte Carlo & Uncertainty

Estimate π using random numbers! This Monte Carlo simulation drops points into a square to reveal the value of Pi through probability and error analysis.

Monte Carlo Statistics Simulator — π, Integration, CLT

Monte Carlo & Uncertainty

Explore Monte Carlo methods: estimate π, test the Central Limit Theorem, perform integration, and simulate random processes with this interactive statistics simulator.

Morris Elementary Effects Method Simulator

Monte Carlo & Uncertainty

Morris Elementary Effects Method Simulator: Run the cheapest global sensitivity method — the Morris Elementary Effects (EE) screening — directly in y…

Multigrid Simulator — V-cycle for 1D Poisson

Multigrid Simulator — V-cycle for 1D Poisson compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Mutual Information (MI) Estimation Simulator

Signal Processing

Mutual Information (MI) Estimation Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters n…

Newton-Raphson Simulator — Roots of Nonlinear Equations

Find roots of f(x)=0 with the Newton-Raphson method. Visualize tangent steps and the log10 error curve for f(x)=x^3-2x-5. Tune initial guess, tolerance, and relaxation.

Normal Distribution Calculator & Visualizer

Interactive normal distribution tool. Set μ and σ to visualize PDF/CDF, compute probabilities, Z-scores, and percentiles instantly.

Numerical Integration Methods Comparator (Trapezoidal, Simpson, Gauss)

Compare Trapezoidal, Simpson's, Gauss-Legendre & Romberg integration methods. View error convergence rates and accuracy orders in a detailed log-log chart.

Nyquist Sampling Theorem Simulator — Aliasing of Sampled Signals

Signal Processing

Nyquist Sampling Theorem Simulator — Aliasing of Sampled Signals focuses on control response, stability margin, and tuning assumptions, giving a compact read on the curr…

Numerical ODE Solver Comparison

Compare Euler, Heun, RK2, RK4, and RK45 ODE solvers. Visualize accuracy and stability on problems like logistic growth and Van der Pol.

Option Pricing Calculator — Black-Scholes Model & Greeks

Calculate call/put option prices, Greeks, and implied volatility in real time. Visualize payoff diagrams and delta curves with our Black-Scholes calculator.

Parseval's Theorem — Energy Conservation in Time and Frequency

Signal Processing

Parseval's Theorem simulator: verify time-domain and frequency-domain energy equivalence in DFT signals using sinusoids, pulses, and Gaussians for si…

Particle Size Distribution (Rosin-Rammler Analysis)

Analyze particle size with Rosin-Rammler, Log-Normal, or GGS models. Compute d10/d50/d90, cumulative curves, and histograms instantly. Perfect for CAE simulation.

PERT/CPM Network Project Schedule Calculator

Calculate project critical path and on-time probability with this PERT/CPM network scheduler. Automates forward/backward pass for up to 12 activities.

Phase Space Portrait — Nonlinear Dynamics & Chaos Visualizer

Visualize nonlinear dynamics and chaos. Simulate Lorenz, Duffing, Van der Pol systems, explore attractors and limit cycles with this interactive RK4 integrator.

Picard Iteration (Fixed-Point) Simulator

Picard Iteration (Fixed-Point) Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.

Polynomial Chaos Expansion (PCE) Simulator

Monte Carlo & Uncertainty

Polynomial Chaos Expansion (PCE) Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters nex…

Predator-Prey (Lotka-Volterra) Simulator — Population Dynamics

Explore predator-prey dynamics with an interactive Lotka-Volterra simulator. Adjust key parameters and visualize population oscillations and phase portraits.

Population Pyramid Simulator — Age-Sex Structure & Demographic Transition

Population pyramid simulator. Adjust fertility rate, life expectancy and migration to visualize age structure changes in real time, with aging and dependency ratio.

Power Iteration Simulator — Dominant Eigenvalue by Iteration

The power iteration simulator estimates the dominant eigenvalue and eigenvector of a 3x3 symmetric matrix by iterating v ← Av/||Av|| and reading the Rayleigh quotient.

Predictor-Corrector Method Simulator — Heun's Method

A tool that visualizes Heun's method, the two-stage predictor-corrector integrator for ordinary differential equations.

Birthday Paradox Probability Calculator

Birthday Paradox Probability Calculator focuses on statistical or numerical assumptions and sensitivity, giving a compact read on the current case and the trend that mat…

Probability Distributions Calculator — Normal, Poisson, Binomial, Exponential

Interactive probability distributions calculator. Plot PDF/PMF and CDF curves, compute percentiles, mean, and variance in real time.

QR Decomposition Simulator — Gram-Schmidt & Least Squares

QR Decomposition Simulator — Gram-Schmidt & Least Squares focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend t…

Quadratic Function Explorer

Explore the graph of y = ax² + bx + c interactively. Drag a, b and c sliders to see vertex, axis of symmetry, discriminant and roots plotted live in three tabs.

Quantile Regression Simulator

Quantile Regression Simulator compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Quasi-Monte Carlo Simulator — Sobol Sequence

Monte Carlo & Uncertainty

Quasi-Monte Carlo Simulator — Sobol Sequence compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Queuing Theory Simulator — M/M/1 & M/M/c Queue Analysis

Queuing Theory (M/M/c) Calculator: Adjust arrival rate λ, service rate μ, and number of servers c to visualize average wait time, queue length, and p…

2D Random Walk Simulator — MSD & Diffusion Coefficient

Monte Carlo & Uncertainty

Simulate 2D random walks in real time. Visualize diffusion laws with MSD plots and switch between lattice, Gaussian, and Lévy flight modes.

Regression Analysis & Curve Fitting

Interactive regression analysis tool: add data points, choose models, and instantly view R², RMSE, fitted equations, and residuals.

Rejection Sampling Simulator — Monte Carlo Sample Generation

Monte Carlo & Uncertainty

Rejection Sampling Simulator — Monte Carlo Sample Generation compares how statistical or numerical assumptions and sensitivity shifts as the main assumptions change.

Response Surface Methodology (RSM) Simulator

Response Surface Methodology (RSM) Simulator compares how electromagnetic, circuit, and transmission conditions shifts as the main assumptions change.

Richardson Extrapolation & Order of Accuracy Simulator

Richardson Extrapolation & Order of Accuracy Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Ridge Regression (Tikhonov) Shrinkage Simulator

Ridge Regression (Tikhonov) Shrinkage Simulator: Change the L2 penalty λ of ridge regression (Tikhonov regularisation) and watch the effective degree…

Riemann Sum Numerical Integration Visualizer

Riemann Sum Numerical Integration Visualizer focuses on statistical or numerical assumptions and sensitivity, giving a compact read on the current case and the trend tha…

Runge-Kutta Stability Simulator

Runge-Kutta Stability Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Runge-Kutta Simulator — RK4 vs Euler Accuracy Comparison

Runge-Kutta Simulator — RK4 vs Euler Accuracy Comparison compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Secant Method Simulator — Derivative-Free Root Finding

Find roots of f(x)=0 with the secant method, a derivative-free root finder.

Shannon Channel Capacity Simulator — Information Theory Limit

Signal Processing

Compute Shannon-Hartley capacity C=B·log2(1+S/N) in real time from bandwidth, signal and noise power.

Shooting Method Simulator

Shooting Method Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Digital Filter Frequency Response Design Tool

Signal Processing

Design and visualize Butterworth, Chebyshev & Bessel IIR filter responses in real time. Adjust type, order, and cutoff frequency instantly.

Signal Modulation Simulator

Signal Processing

Visualize AM, FM, and PM modulation in real time. Adjust parameters like carrier frequency and modulation index to see waveforms and spectra.

Signal & Noise SNR Analyzer

Signal Processing

Analyze signal integrity in real time. Add noise types, compute SNR/ENOB, and visualize results with this interactive CAE tool.

Sampling Theorem & Aliasing Visualizer

Signal Processing

Visualize the Nyquist-Shannon sampling theorem interactively. See real-time aliasing when sampling is too slow and understand the Nyquist frequency.

Significant Figures, Rounding & Measurement Uncertainty Calculator

Calculate significant figures, apply rounding rules, and determine measurement uncertainty for addition, subtraction, multiplication, division, and more.

Sobol Sensitivity Indices Simulator

Monte Carlo & Uncertainty

Sobol Sensitivity Indices Simulator compares how physics-model assumptions and visualization shifts as the main assumptions change.

Successive Over-Relaxation (SOR) Simulator

Solve the 1D Laplace equation with an iterative solver.

Natural Cubic Spline Interpolation Simulator

Natural cubic spline interpolation simulator for engineers.

Spread Spectrum Processing Gain Simulator

Signal Processing

Spread Spectrum Processing Gain Simulator compares how manufacturing conditions, quality margin, and process sensitivity shifts as the main assumptions change.

Central Limit Theorem Simulator — Sampling Distribution Visualization

Monte Carlo & Uncertainty

Central Limit Theorem Simulator — Sampling Distribution Visualization focuses on statistical or numerical assumptions and sensitivity, giving a compact read on the curre…

Normal Distribution Simulator

Normal Distribution Simulator: Adjust mean and standard deviation to explore probability distributions and statistical analysis for engineering appli…

Stratified Sampling Simulator

Monte Carlo & Uncertainty

Stratified Sampling Simulator: A tool for experiencing stratified sampling, a way to boost the accuracy of Monte Carlo integration for free.

Supply & Demand Curve Simulator

Supply & Demand Curve Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.

Taylor Series Approximation Visualizer

Taylor Series Approximation Visualizer focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.

Thomas Algorithm (Tridiagonal Solver) Simulator

Thomas Algorithm (Tridiagonal Solver) Simulator: Experience the Thomas algorithm (TDMA) solving a tridiagonal linear system in O(n).

Topology Optimization Map Viewer — SIMP Density Distribution

Topology Optimization Map Viewer — SIMP Density Distribution focuses on statistical or numerical assumptions and sensitivity, giving a compact read on the current case a…

Traffic Flow Simulator — LWR Model Speed-Density-Flow Diagram

Simulate macroscopic traffic flow using the Lighthill-Whitham-Richards (LWR) model. Explore the fundamental diagram and shock-wave propagation in traffic streams.

Unit Circle Trigonometry Animator

Unit Circle Trigonometry Animator: Adjust angle θ to confirm how point P on the unit circle and sin, cos, tan values change in real time.

Truncation Error & Order of Accuracy Visualization Tool

Visualize truncation error and order of accuracy with our . Understand numerical methods through interactive graphs and examples.

Uncertainty Propagation & Monte Carlo Analysis Tool

Calculate measurement uncertainty with our free Monte Carlo analysis tool. Simulate error propagation and analyze results online instantly.

Engineering Unit Converter

Convert CAE units instantly: 16 categories, 100+ units. Highlights critical units (Pa, N, m, kg, s, K) and supports SI & mm-tonne-s systems for Abaqus/LS-DYNA.

2D Vector Addition Simulator

2D Vector Addition Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.

2D Vector Field Visualizer

Visualize 2D vector fields with arrows and streamlines. Explore field properties like vortex, source, and rotation interactively.

Vector Field & Streamline Visualizer

Visualize vector fields, streamlines, divergence & curl in real-time. Explore uniform flow, sources, vortices, dipoles, and custom functions.

Waveform Generator & Synthesizer — RMS, FFT Spectrum, THD Calculator

Signal Processing

Design complex waveforms by combining up to 4 signal components. Instantly analyze key metrics like RMS, THD, and crest factor while visualizing the composite result.

Daubechies-4 Wavelet Simulator — db4 Multiresolution Analysis

Signal Processing

Interactive Daubechies-4 (db4) wavelet simulator: multi-level DWT of 1D signals, thresholding of detail coefficients, and reconstruction MSE. Smoother basis than Haar.

Haar Wavelet Transform Simulator — Multiresolution Analysis and Compression

Signal Processing

Haar Wavelet Transform Simulator — Multiresolution Analysis and Compression focuses on vibration or acoustic response and frequency behavior, giving a compact read on th…

Window Function Spectral Comparison — Mainlobe Width and Sidelobe Suppression

Signal Processing

Window Function Spectral Comparison tool for analyzing mainlobe width and sidelobe suppression in rectangular, Hann, Hamming, Blackman windows.

Z-Transform & Digital Signal System Analyzer

Signal Processing

Visualize and analyze digital filters in real-time. Enter H(z) coefficients to get pole-zero plots, frequency & impulse responses, and stability checks.