Math & Numbers

Convolution Integral Calculator (Numeric)

Numeric (f*g)(t) = ∫ f(τ)g(t−τ)dτ by composite Simpson, in causal or direct-window mode, at up to 8 output points.

text· Text resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'http://127.0.0.1:3003/en/api/tools/convolution-integral-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"fExpr":"exp(-x)","gExpr":"exp(-2x)","mode":"causal","tauMin":0,"tauMax":20,"tValues":"0.5, 1, 2, 3","intervals":2000,"decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST http://127.0.0.1:3003/en/api/tools/convolution-integral-calculator

Parameters

Name	Type	Required	Description
fExpr	text	Yes	First signal, written in the variable x. Supports + - * / ^, parentheses, and functions like exp, sin, cos, sqrt, ln.
gExpr	text	Yes	Second signal, written in the variable x (it is evaluated at t − τ inside the integral).
mode	select	Yes	—
tauMin	number	No	Lower integration bound.
tauMax	number	No

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-convolution-integral-calculator": {
      "name": "convolution-integral-calculator",
      "description": "Numeric (f*g)(t) = ∫ f(τ)g(t−τ)dτ by composite Simpson, in causal or direct-window mode, at up to 8 output points.",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=convolution-integral-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "convolution-integral-calculator",
    "arguments": {
  "fExpr": "exp(-x)",
  "gExpr": "exp(-2x)",
  "mode": "causal",
  "tauMin": 0,
  "tauMax": 20,
  "tValues": "0.5, 1, 2, 3",
  "intervals": 2000,
  "decimalPlaces": 4
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

Browse tools Open tool