Import-Module ActiveDirectory
$VerbosePreference = "continue"
$list = (Get-ADComputer -LDAPFilter "(&(objectcategory=computer)(OperatingSystem=*server*))").Name
$logfilepath = "$homeDesktopTasksLog.txt"
$ErrorActionPreference = "SilentlyContinue"

invoke-command -ComputerName $list -ScriptBlock { $sched = New-Object -Com "Schedule.Service"
$sched.Connect()
$out = @()
$sched.GetFolder("").GetTasks(0) | % {
    $xml = [xml]$_.xml
    $out += New-Object psobject -Property @{
        "Name" = $_.Name
        "Status" = switch($_.State) {0 {"Unknown"} 1 {"Disabled"} 2 {"Queued"} 3 {"Ready"} 4 {"Running"}}
        "NextRunTime" = $_.NextRunTime
        "LastRunTime" = $_.LastRunTime
        "Author" = $xml.Task.Principals.Principal.UserId
    }
}

$out | fl Name,Status,NextRunTime,LastRunTime,Author, } | Out-File $logfilepath

$list = "Server1"

$list | ForEach-Object {
    Invoke-Command -ComputerName $_ -ScriptBlock { ... }
}

$list | ForEach-Object {
    Write-Verbose $_ -Verbose
    Invoke-Command -ComputerName $_ -ScriptBlock { ... }
}