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.
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Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/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 https://api.elysiatools.com/en/api/tools/convolution-integral-calculatorParameters
| 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": "https://api.elysiatools.com/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).
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